138076417752
138,076,417,752 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138076417752 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 512 divisors.
138076417752 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138076417752:
23 × 3 × 7 × 13 × 31 × 61 × 67 × 499
(2 × 2 × 2 × 3 × 7 × 13 × 31 × 61 × 67 × 499)See below for interesting mathematical facts about the number 138076417752 from the Numbermatics database.
Names of 138076417752
- Cardinal: 138076417752 can be written as One hundred thirty-eight billion, seventy-six million, four hundred seventeen thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38076417752 × 1011
Factors of 138076417752
Divisors of 138076417752
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 61 62 67 78 84 91 93 104 122 124 134 156 168 182 183 186 201 217 244 248 268 273 312 364 366 372 402 403 427 434 469 488 499 536 546 651 728 732 744 793 804 806 854 868 871 938 998 1092 1209 1281 1302 1407 1464 1497 1586 1608 1612 1708 1736 1742 1876 1891 1996 2077 2184 2379 2418 2562 2604 2613 2814 2821 2994 3172 3224 3416 3484 3493 3752 3782 3992 4087 4154 4758 4836 5124 5208 5226 5551 5628 5642 5673 5988 6097 6231 6344 6487 6968 6986 7564 8174 8308 8463 9516 9672 10248 10452 10479 11102 11256 11284 11346 11976 12194 12261 12462 12974 13237 13972 14539 15128 15469 16348 16616 16653 16926 18291 19032 19461 20904 20958 22204 22568 22692 24388 24522 24583 24924 25948 26474 27001 27944 28609 29078 30439 30938 32696 33306 33433 33852 36582 38922 39711 41916 43617 44408 45384 45409 46407 48776 49044 49166 49848 51896 52948 53131 54002 57218 58156 60878 61876 66612 66866 67704 73164 73749 77844 79422 81003 83832 85827 87234 90818 91317 92814 98088 98332 100299 105896 106262 108004 108283 114436 116312 121756 123752 126697 133224 133732 136227 146328 147498 155688 158844 159393 162006 171654 172081 174468 181636 182634 185628 189007 196664 200598 201097 212524 213073 216008 216566 228872 234031 243512 253394 267464 272454 294996 317688 318786 324012 324849 343308 344162 348936 363272 365268 371256 371917 378014 380091 395707 401196 402194 425048 426146 433132 434629 468062 506788 516243 544908 567021 589992 603291 637572 639219 648024 649698 686616 688324 702093 730536 743834 756028 760182 791414 802392 804388 852292 866264 869258 886879 936124 943609 1013576 1032486 1036423 1089816 1115751 1134042 1187121 1206582 1275144 1278438 1299396 1303887 1376648 1404186 1407679 1487668 1512056 1520364 1582828 1608776 1647061 1704584 1738516 1773758 1872248 1887218 2039413 2064972 2072846 2231502 2268084 2374242 2413164 2556876 2598792 2607774 2660637 2769949 2808372 2815358 2830827 2975336 3040728 3042403 3109269 3165656 3294122 3477032 3547516 3774436 4078826 4129944 4145692 4223037 4463004 4536168 4748484 4826328 4941183 5113752 5215548 5321274 5539898 5616744 5630716 5661654 6084806 6118239 6218538 6588244 6605263 7095032 7254961 7548872 8157652 8291384 8309847 8446074 8926008 9127209 9496968 9882366 10431096 10642548 11079796 11261432 11323308 11529427 12169612 12236478 12266917 12437076 13176488 13210526 13473499 14275891 14509922 16315304 16619694 16892148 18254418 19764732 19815789 21285096 21764883 22159592 22646616 23058854 24339224 24472956 24533834 24874152 26421052 26512369 26946998 28551782 29019844 33239388 33784296 34588281 36508836 36800751 39529464 39631578 40420497 42827673 43529766 46117708 48945912 49067668 52842104 53024738 53893996 57103564 58039688 63221803 66478776 69176562 73017672 73601502 79263156 79537107 80840994 85655346 85868419 87059532 92235416 94314493 98135336 106049476 107787992 114207128 126443606 138353124 147203004 158526312 159074214 161681988 171310692 171736838 174119064 185586583 188628986 189665409 212098952 252887212 257605257 276706248 282943479 294406008 318148428 323363976 342621384 343473676 371173166 377257972 379330818 442552621 505774424 515210514 556759749 565886958 636296856 686947352 742346332 754515944 758661636 821883439 885105242 1030421028 1113519498 1131773916 1327657863 1484692664 1517323272 1643766878 1770210484 2060842056 2227038996 2263547832 2465650317 2655315726 3287533756 3540420968 4454077992 4931300634 5310631452 5753184073 6575067512 9862601268 10621262904 11506368146 17259552219 19725202536 23012736292 34519104438 46025472584 69038208876 138076417752
- Sum of all divisors σ(n): 453304320000
- Sum of proper divisors (its aliquot sum) s(n): 315227902248
- 138076417752 is an abundant number, because the sum of its proper divisors (315227902248) is greater than itself. Its abundance is 177151484496
Bases of 138076417752
- Binary: 100000001001011111111011101110110110002
- Hexadecimal: 0x2025FEEED8
- Base-36: 1RFJ4TSO
Squares and roots of 138076417752
- 138076417752 squared (1380764177522) is 19065097139224820733504
- 138076417752 cubed (1380764177523) is 2632440317078066453046609366763008
-
The
square root of 138076417752 is 371586.3530217437 -
The
cube root of 138076417752 is 5168.6029414197
Scales and comparisons
How big is 138076417752?- 138,076,417,752 seconds is equal to 4,390 years, 20 weeks, 6 days, 16 hours, 29 minutes, 12 seconds.
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To count from 1 to 138,076,417,752 would take you about eight thousand, seven hundred eighty 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 138076417752 cubic inches would be around 430.7 feet tall.
Recreational maths with 138076417752
- 138076417752 backwards is 257714670831
- The number of decimal digits it has is: 12
- The sum of 138076417752's digits is 51
- More coming soon!
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