138375905710016
138,375,905,710,016 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138375905710016 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138375905710016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138375905710016:
26 × 13 × 53 × 61 × 73 × 409 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 53 × 61 × 73 × 409 × 1723)See below for interesting mathematical facts about the number 138375905710016 from the Numbermatics database.
Names of 138375905710016
- Cardinal: 138375905710016 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, nine hundred five million, seven hundred ten thousand and sixteen.
Scientific notation
- Scientific notation: 1.38375905710016 × 1014
Factors of 138375905710016
Divisors of 138375905710016
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 53 61 64 73 104 106 122 146 208 212 244 292 409 416 424 488 584 689 793 818 832 848 949 976 1168 1378 1586 1636 1696 1723 1898 1952 2336 2756 3172 3233 3272 3392 3446 3796 3869 3904 4453 4672 5317 5512 6344 6466 6544 6892 7592 7738 8906 10634 11024 12688 12932 13088 13784 15184 15476 17812 21268 21677 22048 22399 24949 25376 25864 26176 27568 29857 30368 30952 35624 42029 42536 43354 44096 44798 49898 50297 50752 51728 55136 57889 59714 60736 61904 71248 84058 85072 86708 89596 91319 99796 100594 103456 105103 110272 115778 119428 123808 125779 142496 168116 170144 173416 179192 182638 199592 201188 206912 210206 231556 236009 238856 247616 251558 281801 284992 324337 336232 340288 346832 358384 365276 388141 399184 402376 420412 463112 472018 477712 503116 563602 648674 672464 693664 704707 716768 730552 776282 798368 804752 840824 926224 944036 955424 1006232 1127204 1187147 1297348 1322297 1344928 1366339 1387328 1409414 1433536 1461104 1552564 1582421 1596736 1609504 1635127 1681648 1821277 1852448 1888072 1910848 2012464 2254408 2374294 2594696 2644594 2689856 2732678 2818828 2922208 3068117 3105128 3164842 3219008 3270254 3363296 3642554 3704896 3776144 4024928 4508816 4748588 5189392 5289188 5465356 5570459 5637656 5844416 6136234 6210256 6329684 6540508 6666287 6726592 7285108 7552288 7672519 8049856 9017632 9161191 9497176 10378784 10578376 10930712 11140918 11275312 12272468 12420512 12659368 13081016 13332574 14570216 15104576 15345038 17189861 18035264 18322382 18994352 20571473 20757568 21156752 21861424 22281836 22550624 23676601 24544936 24841024 25318736 26162032 26665148 29140432 30690076 34379722 36644764 37349471 37988704 41142946 42313504 42987127 43722848 44563672 45101248 47353202 49089872 50637472 51443611 52324064 53330296 58280864 61380152 68759444 72415967 73289528 74698942 75977408 82285892 84627008 85974254 86661731 87445696 89127344 94706404 96527681 98179744 99742747 101274944 102887222 104648128 106660592 116561728 122760304 137518888 144831934 146579056 149397884 164571784 171948508 173323462 178254688 189412808 193055362 196359488 199485494 205774444 213321184 245520608 275037776 289663868 293158112 298795768 329143568 343897016 346646924 356509376 378825616 386110724 398970988 406643507 411548888 426642368 485543123 491041216 550075552 558832651 579327736 586316224 597591536 658287136 668766943 687794032 693293848 757651232 772221448 797941976 813287014 823097776 971086246 1100151104 1117665302 1158655472 1195183072 1254859853 1316574272 1337533886 1375588064 1386587696 1515302464 1544442896 1595883952 1626574028 1646195552 1942172492 2235330604 2278317731 2317310944 2390366144 2509719706 2675067772 2726511383 2751176128 2773175392 3088885792 3138060271 3191767904 3253148056 3292391104 3884344984 4470661208 4556635462 4634621888 5019439412 5286365591 5350135544 5453022766 5546350784 6177771584 6276120542 6383535808 6506296112 7768689968 8941322416 9113270924 10038878824 10572731182 10700271088 10906045532 12552241084 13012592224 15537379936 17882644832 18226541848 20077757648 21145462364 21400542176 21812091064 25104482168 26025184448 29618130503 31074759872 35444647979 35765289664 36453083696 40155515296 40794783523 42290924728 42801084352 43624182128 50208964336 59236261006 70889295958 72906167392 80311030592 81589567046 84581849456 87248364256 100417928672 118472522012 141778591916 145812334784 163179134092 166317194363 169163698912 174496728512 200835857344 236945044024 283557183832 326358268184 332634388726 338327397824 473890088048 567114367664 652716536368 665268777452 947780176096 1134228735328 1305433072736 1330537554904 1895560352192 2162123526719 2268457470656 2610866145472 2661075109808 4324247053438 5322150219616 8648494106876 10644300439232 17296988213752 34593976427504 69187952855008 138375905710016
- Sum of all divisors σ(n): 311365180103040
- Sum of proper divisors (its aliquot sum) s(n): 172989274393024
- 138375905710016 is an abundant number, because the sum of its proper divisors (172989274393024) is greater than itself. Its abundance is 34613368683008
Bases of 138375905710016
- Binary: 111110111011010001001101011010010001111110000002
- Hexadecimal: 0x7DDA26B48FC0
- Base-36: 1D1T0HHZNK
Squares and roots of 138375905710016
- 138375905710016 squared (1383759057100162) is 19147891281067238633082720256
- 138375905710016 cubed (1383759057100163) is 2649606798454597687522020860592692385284096
-
The
square root of 138375905710016 is 11763328.8532632633 -
The
cube root of 138375905710016 is 51723.3714540907
Scales and comparisons
How big is 138375905710016?- 138,375,905,710,016 seconds is equal to 4,399,925 years, 40 weeks, 2 days, 18 hours, 6 minutes, 56 seconds.
-
To count from 1 to 138,375,905,710,016 would take you about ten million, nine hundred ninety-nine thousand, eight hundred fourteen 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 138375905710016 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375905710016
- 138375905710016 backwards is 610017509573831
- The number of decimal digits it has is: 15
- The sum of 138375905710016's digits is 56
- More coming soon!
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