138271985901504
138,271,985,901,504 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138271985901504 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2520 divisors.
138271985901504 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138271985901504:
26 × 32 × 74 × 13 × 312 × 53 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 31 × 31 × 53 × 151)See below for interesting mathematical facts about the number 138271985901504 from the Numbermatics database.
Names of 138271985901504
- Cardinal: 138271985901504 can be written as One hundred thirty-eight trillion, two hundred seventy-one billion, nine hundred eighty-five million, nine hundred one thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38271985901504 × 1014
Factors of 138271985901504
Divisors of 138271985901504
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 49 52 53 56 62 63 64 72 78 84 91 93 96 98 104 106 112 117 124 126 144 147 151 156 159 168 182 186 192 196 208 212 217 224 234 248 252 273 279 288 294 302 312 318 336 343 364 371 372 392 403 416 424 434 441 448 453 468 477 496 504 546 558 576 588 604 624 636 637 651 672 686 689 728 742 744 784 806 819 832 848 868 882 906 936 954 961 992 1008 1029 1057 1092 1113 1116 1176 1208 1209 1248 1272 1274 1302 1344 1359 1372 1378 1456 1484 1488 1519 1568 1612 1638 1643 1696 1736 1764 1812 1872 1908 1911 1922 1953 1963 1984 2016 2058 2067 2114 2184 2226 2232 2352 2401 2416 2418 2496 2544 2548 2597 2604 2718 2744 2756 2821 2883 2912 2968 2976 3038 3087 3136 3171 3224 3276 3286 3339 3392 3472 3528 3624 3627 3744 3816 3822 3844 3906 3926 4032 4116 4134 4228 4368 4452 4459 4464 4557 4681 4704 4802 4823 4832 4836 4929 5088 5096 5194 5208 5436 5488 5512 5642 5733 5766 5824 5889 5936 5952 6076 6174 6201 6342 6448 6552 6572 6678 6727 6944 7056 7203 7248 7254 7399 7488 7632 7644 7688 7791 7812 7852 8003 8232 8268 8456 8463 8649 8736 8904 8918 8928 9114 9362 9408 9513 9604 9646 9664 9672 9858 10176 10192 10388 10416 10633 10872 10976 11024 11284 11466 11501 11532 11778 11872 12152 12348 12402 12493 12684 12896 13104 13144 13356 13377 13454 13671 13741 13888 14043 14112 14406 14469 14496 14508 14787 14798 15264 15288 15376 15582 15624 15704 16006 16464 16536 16912 16926 17298 17472 17667 17808 17836 17856 18179 18228 18724 19026 19208 19292 19344 19716 19747 20181 20384 20776 20832 21266 21359 21609 21744 21952 22048 22197 22568 22932 23002 23064 23373 23556 23744 24009 24304 24696 24804 24986 25368 25389 25792 26208 26288 26712 26754 26908 27342 27482 28086 28224 28812 28938 28992 29016 29574 29596 30528 30576 30752 31164 31213 31248 31408 31899 32012 32767 32928 33072 33761 33824 33852 34503 34596 35334 35616 35672 36358 36456 37448 37479 38052 38416 38584 38688 39432 39494 40131 40362 40768 41223 41552 41664 42129 42532 42718 43218 43407 43488 44096 44394 45136 45864 46004 46128 46746 47089 47112 48018 48608 49392 49608 49972 50736 50778 50933 51793 52416 52576 53424 53508 53816 54537 54684 54964 56021 56172 57624 57876 58032 59148 59192 59241 60543 60853 61152 61504 62328 62426 62496 62816 63798 64024 64077 65534 65856 66144 66591 67522 67648 67704 69006 69192 70668 71232 71344 72027 72716 72912 74431 74896 74958 76104 76832 77168 77376 78864 78988 80262 80507 80724 82446 83104 84258 85064 85436 86436 86814 86976 87451 88788 90272 91728 92008 92256 93492 93639 94178 94224 95697 96036 96187 97216 98301 98784 99216 99944 101283 101472 101556 101866 103509 103586 104039 105152 106848 107016 107632 109074 109368 109928 112042 112344 112437 115248 115752 116064 118296 118384 118482 121086 121706 122304 123669 124656 124852 124992 125632 127253 127596 128048 128154 131068 132288 133182 135044 135408 138012 138229 138384 141267 141336 142688 144054 145111 145432 145824 148862 149513 149792 149916 152208 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110794860498 114368888256 114463564488 117578219304 123899628944 124233590208 126622697712 130815502272 134375107776 137174589188 139387082562 143883440064 144939188576 147726480664 152618085984 156770959072 159299522928 163056587148 166192290747 168830263616 171553332384 176367328956 185849443416 186350385312 189934046568 200685030336 201562661664 205761883782 212399363904 217067481792 217408782864 221589720996 228927128976 235156438608 240055531079 247799257888 253245395424 274349178376 278774165124 289878377152 295452961328 305236171968 308642825673 313541918144 318599045856 326113174296 332384581494 343106664768 352734657912 371698886832 372700770624 379868093136 403125323328 411523767564 434817565728 443179441992 457854257952 470312877216 480111062158 495598515776 506490790848 548698356752 557548330248 590905922656 617285651346 637198091712 652226348592 664769162988 705469315824 720166593237 743397773664 759736186272 823047535128 869635131456 886358883984 915708515904 940625754432 960222124316 1097396713504 1115096660496 1181811845312 1234571302692 1304452697184 1329538325976 1410938631648 1440333186474 1486795547328 1519472372544 1646095070256 1772717767968 1920444248632 2160499779711 2194793427008 2230193320992 2469142605384 2608905394368 2659076651952 2821877263296 2880666372948 3292190140512 3545435535936 3840888497264 4320999559422 4460386641984 4938285210768 5318153303904 5761332745896 6584380281024 7681776994528 8641999118844 9876570421536 10636306607808 11522665491792 15363553989056 17283998237688 19753140843072 23045330983584 34567996475376 46090661967168 69135992950752 138271985901504
- Sum of all divisors σ(n): 527685078918816
- Sum of proper divisors (its aliquot sum) s(n): 389413093017312
- 138271985901504 is an abundant number, because the sum of its proper divisors (389413093017312) is greater than itself. Its abundance is 251141107115808
Bases of 138271985901504
- Binary: 111110111000001111101001001101000011111110000002
- Hexadecimal: 0x7DC1F49A1FC0
- Base-36: 1D0H9UBU80
Squares and roots of 138271985901504
- 138271985901504 squared (1382719859015042) is 19119142085145720943589462016
- 138271985901504 cubed (1382719859015043) is 2643641744846120915453395951564096125272064
-
The
square root of 138271985901504 is 11758910.9147702961 -
The
cube root of 138271985901504 is 51710.4201893283
Scales and comparisons
How big is 138271985901504?- 138,271,985,901,504 seconds is equal to 4,396,621 years, 23 weeks, 2 days, 4 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,271,985,901,504 would take you about ten million, nine hundred ninety-one thousand, five hundred fifty-three 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 138271985901504 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138271985901504
- 138271985901504 backwards is 405109589172831
- 138271985901504 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138271985901504's digits is 63
- More coming soon!
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Cite this page
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"Number 138271985901504 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138271985901504 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138271985901504/
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The information we have on file for 138271985901504 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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