138508051968
138,508,051,968 is an even composite number composed of seven prime numbers multiplied together.
138508051968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138508051968:
29 × 32 × 11 × 132 × 19 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 19 × 23 × 37)See below for interesting mathematical facts about the number 138508051968 from the Numbermatics database.
Names of 138508051968
- Cardinal: 138508051968 can be written as One hundred thirty-eight billion, five hundred eight million, fifty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38508051968 × 1011
Factors of 138508051968
Divisors of 138508051968
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 23 24 26 32 33 36 37 38 39 44 46 48 52 57 64 66 69 72 74 76 78 88 92 96 99 104 111 114 117 128 132 138 143 144 148 152 156 169 171 176 184 192 198 207 208 209 222 228 234 247 253 256 264 276 286 288 296 299 304 312 333 338 342 352 368 384 396 407 414 416 418 429 437 444 456 468 481 494 506 507 512 528 552 572 576 592 598 608 624 627 666 676 684 703 704 736 741 759 768 792 814 828 832 836 851 858 874 888 897 912 936 962 988 1012 1014 1056 1104 1144 1152 1184 1196 1216 1221 1248 1254 1287 1311 1332 1352 1368 1406 1408 1443 1472 1482 1518 1521 1536 1584 1628 1656 1664 1672 1702 1716 1748 1776 1794 1824 1859 1872 1881 1924 1976 2024 2028 2109 2112 2208 2223 2277 2288 2304 2368 2392 2432 2442 2496 2508 2553 2574 2622 2664 2691 2704 2717 2736 2812 2816 2886 2944 2964 3036 3042 3168 3211 3256 3289 3312 3328 3344 3404 3432 3496 3552 3588 3648 3663 3718 3744 3762 3848 3887 3933 3952 4048 4056 4218 4224 4329 4416 4446 4554 4576 4608 4736 4784 4807 4864 4884 4992 5016 5106 5148 5244 5291 5328 5382 5408 5434 5472 5577 5624 5632 5681 5772 5888 5928 6072 6084 6253 6327 6336 6422 6512 6578 6624 6656 6688 6808 6864 6992 7104 7176 7296 7326 7436 7488 7524 7659 7696 7733 7774 7866 7904 8096 8112 8151 8436 8448 8658 8832 8892 9108 9139 9152 9361 9472 9568 9614 9633 9728 9768 9867 9984 10032 10212 10296 10488 10582 10656 10764 10816 10868 10944 11063 11154 11248 11362 11544 11661 11776 11856 12144 12168 12506 12654 12672 12844 13024 13156 13248 13376 13616 13728 13984 14208 14352 14421 14592 14652 14872 14976 15048 15318 15392 15466 15548 15732 15808 15873 16169 16192 16224 16302 16731 16872 16896 17043 17316 17664 17784 18216 18278 18304 18722 18759 18944 19136 19228 19266 19536 19734 19968 20064 20424 20592 20976 21164 21312 21528 21632 21736 21888 22126 22308 22496 22724 23088 23199 23322 23712 24288 24336 24453 25012 25308 25344 25688 26048 26312 26496 26752 27232 27417 27456 27968 28083 28416 28704 28842 28899 29184 29304 29601 29744 29952 30096 30636 30784 30932 31096 31464 31616 31746 32338 32384 32448 32604 33189 33462 33744 34086 34632 34983 35321 35328 35568 36432 36556 36608 37444 37518 38272 38456 38532 39072 39468 40128 40848 41184 41952 42328 42624 42757 43056 43263 43264 43472 43776 44252 44616 44992 45448 46176 46398 46644 47424 47619 48507 48576 48672 48906 50024 50616 50688 51129 51376 52096 52624 52992 53504 54464 54834 54912 55936 56166 56277 56832 57408 57684 57798 58608 59202 59488 59904 60192 61272 61568 61864 62192 62491 62928 63232 63492 64676 64768 64896 65208 66378 66924 67488 68172 68783 69264 69597 69966 70642 71136 72864 73112 73216 73853 74888 75036 76544 76912 77064 78144 78936 80256 81696 82251 82368 83904 84249 84656 85248 85514 86112 86526 86528 86944 87552 88504 89232 89984 90896 92352 92796 93288 94848 95238 97014 97152 97344 97812 99567 100048 100529 101232 102258 102752 104192 105248 105963 105984 107008 108928 109668 109824 111872 112332 112554 114816 115368 115596 117216 118404 118807 118976 120384 121693 122544 123136 123728 124384 124982 125856 126464 126984 128271 129352 129536 129792 130416 132756 133848 134976 136344 137566 138528 139194 139932 141284 142272 143819 145521 145728 146224 147706 149776 150072 153088 153824 154128 156288 157872 160512 163392 164502 164736 167808 168498 169312 170496 171028 172224 173052 173888 177008 177859 178464 179968 181792 184704 185592 186576 187473 189696 190476 194028 194304 194688 195624 199134 200096 201058 202464 204516 205504 206349 208384 210197 210496 211926 217856 219336 219648 221559 223744 224664 225108 229632 230736 231192 234432 236808 237614 237952 240768 243386 245088 246272 247456 248768 249964 251712 253968 256542 258704 259584 260832 265512 267696 269952 272688 275132 277056 278388 279864 282568 284544 287638 291042 291456 292448 295412 299552 300144 301587 307648 308256 312576 315744 317889 321024 326784 329004 329472 335616 336996 338624 342056 344448 346104 347776 354016 355718 356421 356928 359936 363584 365079 369408 371184 373152 374946 379392 380952 384813 388056 388608 389376 391248 398268 400192 402116 404928 409032 411008 412698 420394 420992 423852 431457 435712 438672 443118 449328 450216 459264 461472 462384 468864 473616 475228 475904 481536 486772 490176 494912 497536 499928 503424 507936 513084 517408 521664 531024 533577 535392 539904 545376 550264 554112 556776 559728 562419 565136 569088 575276 582084 582912 584896 590824 599104 600288 603174 615296 616512 619047 625152 630591 631488 635778 653568 658008 658944 664677 671232 673992 677248 684112 688896 692208 695552 708032 711436 712842 713856 727168 730158 738816 742368 746304 749892 761904 769626 776112 778752 782496 796536 800384 804232 809856 812383 818064 822016 825396 840788 841984 847704 862914 877344 886236 898656 900432 904761 922944 924768 937728 947232 950456 951808 963072 973544 980352 989824 995072 999856 1006848 1015872 1026168 1034816 1043328 1062048 1067154 1069263 1070784 1079808 1090752 1095237 1100528 1108224 1113552 1119456 1124838 1130272 1138176 1150552 1164168 1165824 1169792 1181648 1198208 1200576 1206348 1230592 1233024 1238094 1261182 1262976 1271556 1294371 1306877 1307136 1316016 1329354 1347984 1354496 1368224 1377792 1384416 1391104 1416064 1422872 1425684 1427712 1454336 1460316 1484736 1492608 1499784 1523808 1539252 1552224 1564992 1582009 1593072 1600731 1600768 1608464 1619712 1624766 1636128 1644032 1650792 1681576 1683968 1695408 1725828 1754688 1772472 1797312 1800864 1809522 1845888 1849536 1875456 1891773 1894464 1900912 1947088 1960704 1979648 1990144 1999712 2013696 2031744 2052336 2069632 2086656 2124096 2134308 2138526 2141568 2181504 2190474 2201056 2216448 2227104 2238912 2249676 2260544 2301104 2312167 2328336 2339584 2363296 2396416 2401152 2412696 2437149 2461184 2466048 2476188 2522364 2525952 2543112 2588742 2613754 2632032 2658708 2695968 2708992 2732561 2736448 2768832 2832128 2845744 2851368 2855424 2908672 2920632 2969472 2985216 2999568 3047616 3078504 3104448 3129984 3164018 3186144 3201462 3201536 3216928 3239424 3249532 3272256 3301584 3363152 3390816 3451656 3509376 3544944 3594624 3601728 3619044 3691776 3699072 3783546 3788928 3801824 3894176 3920631 3921408 3959296 3999424 4063488 4104672 4139264 4173312 4248192 4268616 4277052 4283136 4363008 4380948 4402112 4454208 4477824 4499352 4521088 4602208 4624334 4656672 4679168 4726592 4746027 4792832 4802304 4825392 4874298 4932096 4952376 5044728 5051904 5086224 5177484 5227508 5264064 5317416 5391936 5465122 5472896 5537664 5664256 5691488 5702736 5841264 5938944 5970432 5999136 6095232 6157008 6208896 6259968 6328036 6372288 6402924 6433856 6499064 6544512 6603168 6726304 6781632 6903312 6936501 7018752 7089888 7189248 7203456 7238088 7311447 7383552 7398144 7567092 7577856 7603648 7788352 7841262 7998848 8126976 8197683 8209344 8278528 8496384 8537232 8554104 8566272 8726016 8761896 8804224 8908416 8955648 8998704 9042176 9204416 9248668 9313344 9453184 9492054 9604608 9650784 9748596 9904752 10089456 10172448 10354968 10455016 10528128 10634832 10783872 10930244 10945792 11075328 11382976 11405472 11682528 11761893 11877888 11998272 12190464 12314016 12417792 12519936 12656072 12744576 12805848 12867712 12998128 13089024 13206336 13452608 13563264 13806624 13873002 14037504 14179776 14238081 14378496 14406912 14476176 14622894 14796288 15134184 15155712 15207296 15576704 15682524 15997696 16395366 16418688 16992768 17074464 17108208 17523792 17608448 17816832 17911296 17997408 18084352 18408832 18497336 18626688 18906368 18984108 19301568 19497192 19809504 20178912 20344896 20709936 20809503 20910032 21056256 21269664 21567744 21860488 21891584 22150656 22765952 22810944 23365056 23523786 23996544 24380928 24593049 24628032 24835584 25312144 25489152 25611696 25735424 25996256 26178048 26412672 26905216 27126528 27613248 27746004 28359552 28476162 28813824 28952352 29245788 30058171 30268368 30414592 31153408 31365048 31995392 32790732 32837376 34148928 34216416 35047584 35216896 35633664 35994816 36817664 36994672 37253376 37812736 37968216 38603136 38994384 39619008 40357824 40689792 41419872 41619006 41820064 42112512 42539328 43135488 43720976 45531904 45621888 46730112 47047572 47993088 49186098 49256064 50624288 50978304 51223392 51470848 51992512 52825344 53810432 54253056 55226496 55492008 56719104 56952324 57904704 58491576 60116342 60536736 60829184 62306816 62730096 65581464 65674752 68297856 68432832 70095168 71989632 73635328 73989344 74506752 75936432 77206272 77988768 79238016 80715648 81379584 82839744 83238012 83640128 85078656 87441952 90174513 91063808 91243776 93460224 94095144 95986176 98372196 98512128 101248576 102446784 103985024 105650688 107620864 110452992 110984016 113438208 113904648 115809408 116983152 120232684 121073472 125460192 131162928 136595712 136865664 140190336 143979264 147978688 151872864 154412544 155977536 158476032 161431296 162759168 165679488 166476024 167280256 170157312 174883904 180349026 182487552 186920448 188190288 196744392 197024256 202497152 204893568 207970048 220905984 221968032 227809296 231618816 233966304 240465368 242146944 250920384 262325856 270523539 273191424 273731328 280380672 287958528 295957376 303745728 311955072 316952064 322862592 331358976 332952048 334560512 340314624 349767808 360698052 376380576 393488784 404994304 409787136 415940096 443936064 455618592 463237632 467932608 480930736 484293888 501840768 524651712 541047078 547462656 560761344 591914752 607491456 623910144 662717952 665904096 669121024 699535616 721396104 752761152 786977568 809988608 819574272 887872128 911237184 935865216 961861472 968587776 1003681536 1049303424 1082094156 1183829504 1214982912 1247820288 1331808192 1399071232 1442792208 1505522304 1573955136 1775744256 1822474368 1871730432 1923722944 2007363072 2098606848 2164188312 2429965824 2663616384 2885584416 3011044608 3147910272 3551488512 3644948736 3743460864 3847445888 4197213696 4328376624 5327232768 5771168832 6022089216 6295820544 7289897472 7694891776 8656753248 10654465536 11542337664 12591641088 15389783552 17313506496 23084675328 34627012992 46169350656 69254025984 138508051968
- Sum of all divisors σ(n): 532691976960
- Sum of proper divisors (its aliquot sum) s(n): 394183924992
- 138508051968 is an abundant number, because the sum of its proper divisors (394183924992) is greater than itself. Its abundance is 255675873024
Bases of 138508051968
- Binary: 100000001111111011100100100110000000002
- Hexadecimal: 0x203FB92600
- Base-36: 1RMO48W0
Squares and roots of 138508051968
- 138508051968 squared (1385080519682) is 19184480459970188673024
- 138508051968 cubed (1385080519683) is 2657205016528631436453973151711232
-
The
square root of 138508051968 is 372166.6991658443 -
The
cube root of 138508051968 is 5173.9831148495
Scales and comparisons
How big is 138508051968?- 138,508,051,968 seconds is equal to 4,404 years, 6 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,508,051,968 would take you about eight thousand, eight hundred eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138508051968 cubic inches would be around 431.2 feet tall.
Recreational maths with 138508051968
- 138508051968 backwards is 869150805831
- The number of decimal digits it has is: 12
- The sum of 138508051968's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138508051968 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138508051968/
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The information we have on file for 138508051968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138508051968, math, Factors of 138508051968, curriculum, school, college, exams, university, Prime factorization of 138508051968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, five hundred eight million, fifty-one thousand, nine hundred sixty-eight.