138825004032
138,825,004,032 is an even composite number composed of six prime numbers multiplied together.
138825004032 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138825004032:
210 × 33 × 11 × 132 × 37 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 37 × 73)See below for interesting mathematical facts about the number 138825004032 from the Numbermatics database.
Names of 138825004032
- Cardinal: 138825004032 can be written as One hundred thirty-eight billion, eight hundred twenty-five million, four thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38825004032 × 1011
Factors of 138825004032
Divisors of 138825004032
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 64 66 72 73 74 78 88 96 99 104 108 111 117 128 132 143 144 146 148 156 169 176 192 198 208 216 219 222 234 256 264 286 288 292 296 297 312 333 338 351 352 384 396 407 416 429 432 438 444 468 481 507 512 528 572 576 584 592 594 624 657 666 676 702 704 768 792 803 814 832 858 864 876 888 936 949 962 999 1014 1024 1056 1144 1152 1168 1184 1188 1221 1248 1287 1314 1332 1352 1404 1408 1443 1521 1536 1584 1606 1628 1664 1716 1728 1752 1776 1859 1872 1898 1924 1971 1998 2028 2112 2288 2304 2336 2368 2376 2409 2442 2496 2574 2628 2664 2701 2704 2808 2816 2847 2886 3042 3072 3168 3212 3256 3328 3432 3456 3504 3552 3663 3718 3744 3796 3848 3861 3942 3996 4056 4224 4329 4563 4576 4608 4672 4736 4752 4818 4884 4992 5148 5256 5291 5328 5402 5408 5577 5616 5632 5694 5772 6084 6253 6336 6424 6512 6656 6864 6912 7008 7104 7227 7326 7436 7488 7592 7696 7722 7884 7992 8103 8112 8448 8541 8658 9126 9152 9216 9344 9472 9504 9636 9768 9984 10296 10439 10512 10582 10656 10804 10816 10989 11154 11232 11264 11388 11544 12168 12337 12506 12672 12848 12987 13024 13312 13728 13824 14016 14208 14454 14652 14872 14976 15184 15392 15444 15768 15873 15984 16206 16224 16731 16896 17082 17316 18252 18304 18688 18759 18944 19008 19272 19536 19968 20592 20878 21024 21164 21312 21608 21632 21681 21978 22308 22464 22776 23088 24309 24336 24674 25012 25344 25623 25696 25974 26048 27456 27648 28032 28416 28908 29304 29711 29744 29952 30368 30784 30888 31317 31536 31746 31968 32412 32448 33462 33792 34164 34632 35113 36504 36608 37011 37376 37518 37888 38016 38544 39072 39936 41184 41756 42048 42328 42624 43216 43264 43362 43956 44616 44928 45552 46176 47619 48618 48672 49348 50024 50193 50688 51246 51392 51948 52096 54912 56064 56277 56832 57816 58608 59422 59488 59904 60736 61568 61776 62634 63072 63492 63936 64824 64896 66924 68328 68783 69264 70226 72927 73008 73216 74022 74752 75036 76032 77088 78144 82368 83512 84096 84656 85248 86432 86528 86724 87912 89133 89232 89856 91104 92352 93951 95238 97236 97344 98696 100048 100386 101376 102492 102784 103896 104192 105339 109824 111033 112128 112554 113664 115632 117216 118844 118976 119808 121472 123136 123552 125268 126144 126984 127872 129648 129792 133848 135707 136656 137566 138528 140452 142857 145854 146016 146432 148044 150072 152064 154176 156288 164736 167024 168192 168831 169312 170496 172864 173056 173448 175824 178266 178464 179712 182208 184704 187902 190476 194472 194688 197392 200096 200772 204984 205568 206349 207792 208384 210678 219648 222066 224256 225108 231264 234432 237688 237952 242944 246272 247104 250536 252288 253968 255744 259296 259584 267399 267696 271414 273312 275132 277056 280904 281853 285714 291708 292032 296088 300144 304128 308352 312576 316017 329472 333099 334048 336384 337662 338624 340992 345728 346896 351648 356532 356928 359424 364416 369408 375804 380952 386243 388944 389376 394784 400192 401544 407121 409968 411136 412698 415584 416768 421356 439296 444132 450216 456469 462528 468864 475376 475904 485888 492544 494208 501072 504576 507936 511488 518592 519168 534798 535392 542828 546624 550264 554112 561808 563706 571428 583416 584064 592176 600288 616704 619047 625152 632034 658944 666198 668096 672768 675324 677248 691456 693792 703296 713064 713856 728832 738816 751608 761904 772486 777888 778752 789568 800384 802197 803088 814242 819936 822272 825396 831168 842712 888264 900432 912938 925056 937728 948051 950752 951808 971776 988416 1002144 1009152 1015872 1022976 1037184 1069596 1070784 1085656 1093248 1100528 1108224 1123616 1127412 1142856 1158729 1166832 1168128 1184352 1200576 1221363 1233408 1238094 1250304 1264068 1317888 1332396 1336192 1350648 1354496 1369407 1382912 1387584 1406592 1426128 1427712 1457664 1477632 1503216 1523808 1544972 1555776 1557504 1579136 1600768 1604394 1606176 1628484 1639872 1650792 1662336 1685424 1776528 1800864 1825876 1850112 1857141 1875456 1896102 1901504 1903616 1976832 2004288 2018304 2031744 2074368 2139192 2141568 2171312 2186496 2201056 2216448 2247232 2254824 2285712 2317458 2333664 2336256 2368704 2401152 2442726 2466816 2476188 2528136 2664792 2672384 2701296 2708992 2738814 2765824 2775168 2813184 2852256 2855424 2915328 3006432 3047616 3089944 3111552 3158272 3201536 3208788 3212352 3256968 3279744 3301584 3324672 3370848 3476187 3553056 3601728 3651752 3664089 3700224 3714282 3750912 3792204 3803008 3953664 4008576 4063488 4108221 4148736 4278384 4283136 4342624 4372992 4402112 4432896 4494464 4509648 4571424 4634916 4667328 4672512 4737408 4802304 4885452 4952376 5021159 5056272 5329584 5344768 5402592 5417984 5477628 5550336 5626368 5704512 5710848 6012864 6095232 6179888 6223104 6316544 6403072 6417576 6424704 6513936 6559488 6603168 6649344 6741696 6952374 7106112 7203456 7303504 7328178 7400448 7428564 7584408 7606016 8017152 8126976 8216442 8297472 8556768 8566272 8685248 8745984 8804224 8988928 9019296 9142848 9269832 9334656 9474816 9604608 9770904 9904752 10042318 10112544 10428561 10659168 10689536 10805184 10955256 11100672 11252736 11409024 12025728 12190464 12324663 12359776 12446208 12633088 12835152 12849408 13027872 13118976 13206336 13298688 13483392 13904748 14212224 14406912 14607008 14656356 14857128 15063477 15168816 15212032 16034304 16253952 16432884 17113536 17132544 17370496 17608448 17977856 18038592 18285696 18539664 18669312 18949632 19209216 19541808 19809504 20084636 20225088 20857122 21318336 21610368 21910512 22201344 22818048 24051456 24380928 24649326 24719552 24892416 25670304 25698816 26055744 26237952 26412672 26966784 27809496 28424448 28813824 29214016 29312712 29714256 30126954 30337632 30424064 32068608 32865768 34227072 34740992 35216896 35955712 36077184 36571392 37079328 37338624 37899264 39083616 39619008 40169272 40450176 41714244 42636672 43220736 43821024 45190431 45636096 48102912 48761856 49298652 49439104 51340608 51397632 52111488 52825344 53933568 55618992 56848896 57627648 58428032 58625424 59428512 60253908 60675264 65731536 68454144 69481984 70433792 72154368 73142784 74158656 74677248 78167232 79238016 80338544 80900352 83428488 85273344 86441472 87642048 90380862 91272192 96205824 98597304 98878208 102681216 104222976 105650688 107867136 111237984 113697792 116856064 117250848 118857024 120507816 121350528 131463072 135571293 136908288 138963968 144308736 146285568 148317312 156334464 158476032 160677088 161800704 166856976 170546688 172882944 175284096 180761724 197194608 197756416 205362432 208445952 211301376 222475968 233712128 234501696 237714048 241015632 242701056 262926144 271142586 273816576 288617472 296634624 312668928 316952064 321354176 323601408 333713952 341093376 350568192 361523448 394389216 395512832 410724864 416891904 444951936 467424256 469003392 475428096 482031264 485402112 525852288 542285172 593269248 625337856 633904128 642708352 667427904 701136384 723046896 788778432 821449728 889903872 938006784 950856192 964062528 970804224 1051704576 1084570344 1186538496 1250675712 1285416704 1334855808 1402272768 1446093792 1577556864 1779807744 1876013568 1901712384 1928125056 2103409152 2169140688 2570833408 2669711616 2892187584 3155113728 3559615488 3752027136 3856250112 4206818304 4338281376 5141666816 5339423232 5784375168 6310227456 7712500224 8676562752 10678846464 11568750336 12620454912 15425000448 17353125504 23137500672 34706251008 46275001344 69412502016 138825004032
- Sum of all divisors σ(n): 505621445760
- Sum of proper divisors (its aliquot sum) s(n): 366796441728
- 138825004032 is an abundant number, because the sum of its proper divisors (366796441728) is greater than itself. Its abundance is 227971437696
Bases of 138825004032
- Binary: 100000010100101001110101110100000000002
- Hexadecimal: 0x20529D7400
- Base-36: 1RRWTMO0
Squares and roots of 138825004032
- 138825004032 squared (1388250040322) is 19272381744484816257024
- 138825004032 cubed (1388250040323) is 2675488473384347810644135948320768
-
The
square root of 138825004032 is 372592.2758619669 -
The
cube root of 138825004032 is 5177.9267010673
Scales and comparisons
How big is 138825004032?- 138,825,004,032 seconds is equal to 4,414 years, 10 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,825,004,032 would take you about eight thousand, eight hundred twenty-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 138825004032 cubic inches would be around 431.5 feet tall.
Recreational maths with 138825004032
- 138825004032 backwards is 230400528831
- 138825004032 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138825004032's digits is 36
- More coming soon!
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The information we have on file for 138825004032 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!
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