138674028579840
138,674,028,579,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138674028579840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
138674028579840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138674028579840:
210 × 32 × 5 × 13 × 31 × 53 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 53 × 140897)See below for interesting mathematical facts about the number 138674028579840 from the Numbermatics database.
Names of 138674028579840
- Cardinal: 138674028579840 can be written as One hundred thirty-eight trillion, six hundred seventy-four billion, twenty-eight million, five hundred seventy-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3867402857984 × 1014
Factors of 138674028579840
Divisors of 138674028579840
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 53 60 62 64 65 72 78 80 90 93 96 104 106 117 120 124 128 130 144 155 156 159 160 180 186 192 195 208 212 234 240 248 256 260 265 279 288 310 312 318 320 360 372 384 390 403 416 424 465 468 477 480 496 512 520 530 558 576 585 620 624 636 640 689 720 744 768 780 795 806 832 848 930 936 954 960 992 1024 1040 1060 1116 1152 1170 1209 1240 1248 1272 1280 1378 1395 1440 1488 1536 1560 1590 1612 1643 1664 1696 1860 1872 1908 1920 1984 2015 2067 2080 2120 2232 2304 2340 2385 2418 2480 2496 2544 2560 2756 2790 2880 2976 3072 3120 3180 3224 3286 3328 3392 3445 3627 3720 3744 3816 3840 3968 4030 4134 4160 4240 4464 4608 4680 4770 4836 4929 4960 4992 5088 5120 5512 5580 5760 5952 6045 6201 6240 6360 6448 6572 6656 6784 6890 7254 7440 7488 7632 7680 7936 8060 8215 8268 8320 8480 8928 9216 9360 9540 9672 9858 9920 9984 10176 10335 11024 11160 11520 11904 12090 12402 12480 12720 12896 13144 13312 13568 13780 14508 14787 14880 14976 15264 15360 15872 16120 16430 16536 16640 16960 17856 18135 18720 19080 19344 19716 19840 19968 20352 20670 21359 22048 22320 23040 23808 24180 24645 24804 24960 25440 25792 26288 27136 27560 29016 29574 29760 29952 30528 31005 31744 32240 32860 33072 33280 33920 35712 36270 37440 38160 38688 39432 39680 39936 40704 41340 42718 44096 44640 46080 47616 48360 49290 49608 49920 50880 51584 52576 54272 55120 58032 59148 59520 59904 61056 62010 64077 64480 65720 66144 66560 67840 71424 72540 73935 74880 76320 77376 78864 79360 81408 82680 85436 88192 89280 95232 96720 98580 99216 99840 101760 103168 105152 106795 110240 116064 118296 119040 119808 122112 124020 128154 128960 131440 132288 135680 140897 142848 145080 147870 149760 152640 154752 157728 158720 162816 165360 170872 176384 178560 192231 193440 197160 198432 199680 203520 206336 210304 213590 220480 232128 236592 238080 244224 248040 256308 257920 262880 264576 271360 281794 285696 290160 295740 299520 305280 309504 315456 320385 330720 341744 352768 357120 384462 386880 394320 396864 407040 412672 420608 422691 427180 440960 464256 473184 476160 488448 496080 512616 515840 525760 529152 563588 580320 591480 599040 610560 619008 630912 640770 661440 683488 704485 705536 714240 768924 773760 788640 793728 814080 841216 845382 854360 881920 928512 946368 961155 992160 1025232 1031680 1051520 1058304 1127176 1160640 1182960 1221120 1238016 1261824 1268073 1281540 1322880 1366976 1408970 1428480 1537848 1547520 1577280 1587456 1682432 1690764 1708720 1763840 1831661 1857024 1892736 1922310 1984320 2050464 2063360 2103040 2113455 2116608 2254352 2321280 2365920 2442240 2523648 2536146 2563080 2645760 2733952 2817940 3075696 3095040 3154560 3174912 3381528 3417440 3527680 3663322 3714048 3785472 3844620 3968640 4100928 4206080 4226910 4367807 4508704 4642560 4731840 5047296 5072292 5126160 5291520 5467904 5494983 5635880 6151392 6190080 6309120 6340365 6349824 6763056 6834880 7326644 7467541 7570944 7689240 7937280 8201856 8412160 8453820 8735614 9017408 9158305 9285120 9463680 10144584 10252320 10583040 10935808 10989966 11271760 12302784 12618240 12680730 13103421 13526112 13669760 14653288 14935082 15141888 15378480 15874560 16403712 16484949 16907640 17471228 18034816 18316610 18570240 18927360 20289168 20504640 21839035 21871616 21979932 22402623 22543520 24605568 25236480 25361460 26206842 27052224 27339520 27474915 29306576 29870164 30756960 31749120 32807424 32969898 33815280 34942456 36069632 36633220 37337705 37854720 39310263 40578336 41009280 43678070 43959864 44805246 45087040 49211136 50722920 52413684 54104448 54679040 54949830 56781491 58613152 59740328 61513920 65517105 65614848 65939796 67207869 67630560 69884912 72139264 73266440 74675410 75709440 78620526 81156672 82018560 82424745 87356140 87919728 89610492 90174080 97078033 98422272 101445840 104827368 108208896 109358080 109899660 112013115 113562982 117226304 119480656 123027840 131034210 131879592 134415738 135261120 139769824 144278528 146532880 149350820 157241052 162313344 164037120 164849490 170344473 174712280 175839456 179220984 180348160 194156066 196551315 196844544 202891680 209654736 216417792 219799320 224026230 227125964 231493771 234452608 238961312 246055680 262068420 263759184 268831476 270522240 279539648 283907455 291234099 293065760 298701640 314482104 324626688 328074240 329698980 336039345 340688946 349424560 351678912 358441968 360696320 388312132 393102630 405783360 419309472 432835584 439598640 448052460 454251928 462987542 468905216 477922624 485390165 492111360 511033419 524136840 527518368 537662952 541044480 559079296 567814910 582468198 586131520 597403280 628964208 649253376 659397960 672078690 681377892 694481313 698849120 703357824 716883936 721392640 776624264 786205260 811566720 838618944 851722365 873702297 879197280 896104920 908503856 925975084 937810432 955845248 970780330 984222720 1022066838 1048273680 1055036736 1075325904 1082088960 1118158592 1135629820 1157468855 1164936396 1172263040 1194806560 1257928416 1298506752 1318795920 1344157380 1362755784 1388962626 1397698240 1406715648 1433767872 1456170495 1553248528 1572410520 1623133440 1677237888 1703444730 1747404594 1758394560 1792209840 1817007712 1851950168 1875620864 1911690496 1941560660 2044133676 2083443939 2096547360 2110073472 2150651808 2164177920 2236317184 2271259640 2314937710 2329872792 2344526080 2389613120 2515856832 2555167095 2637591840 2688314760 2725511568 2777925252 2795396480 2813431296 2867535744 2912340990 3009419023 3106497056 3144821040 3246266880 3354475776 3406889460 3472406565 3494809188 3516789120 3584419680 3634015424 3703900336 3823380992 3883121320 4088267352 4166887878 4193094720 4220146944 4301303616 4368511485 4472634368 4542519280 4629875420 4659745584 4689052160 4779226240 5031713664 5110334190 5275183680 5376629520 5451023136 5555850504 5590792960 5626862592 5735071488 5824681980 6018838046 6212994112 6289642080 6492533760 6708951552 6813778920 6944813130 6989618376 7033578240 7168839360 7268030848 7407800672 7646761984 7766242640 8176534704 8333775756 8386189440 8440293888 8602607232 8737022970 9028257069 9085038560 9259750840 9319491168 9378104320 9558452480 10063427328 10220668380 10417219695 10550367360 10753259040 10902046272 11111701008 11181585920 11470142976 11649363960 12037676092 12425988224 12579284160 13417903104 13627557840 13889626260 13979236752 14067156480 14337678720 14536061696 14815601344 15047095115 15532485280 16353069408 16667551512 16772378880 16880587776 17205214464 17474045940 18056514138 18170077120 18519501680 18638982336 19116904960 20126854656 20441336760 20834439390 21100734720 21506518080 21804092544 22223402016 22363171840 22940285952 23298727920 24075352184 24851976448 25158568320 27084771207 27255115680 27779252520 27958473504 28134312960 28675357440 29072123392 29631202688 30094190230 31064970560 32706138816 33335103024 33544757760 34410428928 34948091880 36113028276 36340154240 37039003360 37277964672 38233809920 40253709312 40882673520 41668878780 42201469440 43013036160 43608185088 44446804032 45141285345 46597455840 48150704368 49703952896 50317136640 54169542414 54510231360 55558505040 55916947008 57350714880 58144246784 59262405376 60188380460 62129941120 65412277632 66670206048 67089515520 68820857856 69896183760 72226056552 72680308480 74078006720 74555929344 81765347040 83337757560 84402938880 86026072320 87216370176 88893608064 90282570690 93194911680 96301408736 99407905792 100634273280 108339084828 109020462720 111117010080 111833894016 114701429760 118524810752 120376760920 124259882240 130824555264 133340412096 135423856035 139792367520 144452113104 145360616960 148156013440 149111858688 163530694080 166675515120 172052144640 174432740352 177787216128 180565141380 186389823360 192602817472 201268546560 216678169656 218040925440 222234020160 223667788032 237049621504 240753521840 248519764480 261649110528 266680824192 270847712070 279584735040 288904226208 290721233920 296312026880 298223717376 327061388160 333351030240 344104289280 355574432256 361130282760 372779646720 385205634944 433356339312 436081850880 444468040320 447335576064 481507043680 497039528960 523298221056 533361648384 541695424140 559169470080 577808452416 592624053760 654122776320 666702060480 711148864512 722260565520 745559293440 770411269888 866712678624 872163701760 888936080640 894671152128 963014087360 1066723296768 1083390848280 1118338940160 1155616904832 1185248107520 1308245552640 1333404120960 1444521131040 1491118586880 1540822539776 1733425357248 1777872161280 1926028174720 2133446593536 2166781696560 2236677880320 2311233809664 2616491105280 2666808241920 2889042262080 3081645079552 3466850714496 3555744322560 3852056349440 4333563393120 4473355760640 4622467619328 5333616483840 5778084524160 6933701428992 7704112698880 8667126786240 9244935238656 10667232967680 11556169048320 13867402857984 15408225397760 17334253572480 23112338096640 27734805715968 34668507144960 46224676193280 69337014289920 138674028579840
- Sum of all divisors σ(n): 544238232685056
- Sum of proper divisors (its aliquot sum) s(n): 405564204105216
- 138674028579840 is an abundant number, because the sum of its proper divisors (405564204105216) is greater than itself. Its abundance is 266890175525376
Bases of 138674028579840
- Binary: 111111000011111100100000011011010001100000000002
- Hexadecimal: 0x7E1F90368C00
- Base-36: 1D5LYW5Q80
Squares and roots of 138674028579840
- 138674028579840 squared (1386740285798402) is 19230486202562281127254425600
- 138674028579840 cubed (1386740285798403) is 2666768993258340564478464867605522939904000
-
The
square root of 138674028579840 is 11775993.7406505103 -
The
cube root of 138674028579840 is 51760.4898125131
Scales and comparisons
How big is 138674028579840?- 138,674,028,579,840 seconds is equal to 4,409,405 years, 8 weeks, 2 days, 22 hours, 24 minutes.
-
To count from 1 to 138,674,028,579,840 would take you about eleven million, twenty-three thousand, five hundred twelve 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 138674028579840 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138674028579840
- 138674028579840 backwards is 048975820476831
- 138674028579840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138674028579840's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138674028579840 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 138674028579840 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138674028579840/
Chicago style:
Numbermatics. 2024. "Number 138674028579840 - Facts about the integer". https://numbermatics.com/n/138674028579840/
The information we have on file for 138674028579840 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 138674028579840, math, Factors of 138674028579840, curriculum, school, college, exams, university, Prime factorization of 138674028579840, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred seventy-four billion, twenty-eight million, five hundred seventy-nine thousand, eight hundred forty.