138538707216
138,538,707,216 is an even composite number composed of six prime numbers multiplied together.
138538707216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138538707216:
24 × 3 × 7 × 133 × 53 × 3541
(2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 53 × 3541)See below for interesting mathematical facts about the number 138538707216 from the Numbermatics database.
Names of 138538707216
- Cardinal: 138538707216 can be written as One hundred thirty-eight billion, five hundred thirty-eight million, seven hundred seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38538707216 × 1011
Factors of 138538707216
Divisors of 138538707216
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 53 56 78 84 91 104 106 112 156 159 168 169 182 208 212 273 312 318 336 338 364 371 424 507 546 624 636 676 689 728 742 848 1014 1092 1113 1183 1272 1352 1378 1456 1484 2028 2067 2184 2197 2226 2366 2544 2704 2756 2968 3541 3549 4056 4134 4368 4394 4452 4732 4823 5512 5936 6591 7082 7098 8112 8268 8788 8904 8957 9464 9646 10623 11024 13182 14164 14196 14469 15379 16536 17576 17808 17914 18928 19292 21246 24787 26364 26871 28328 28392 28938 30758 33072 35152 35828 38584 42492 46033 46137 49574 52728 53742 56656 56784 57876 61516 62699 71656 74361 77168 84984 92066 92274 99148 105456 107484 115752 116441 123032 125398 138099 143312 148722 169968 184132 184548 187673 188097 198296 214968 231504 232882 246064 250796 276198 297444 322231 349323 368264 369096 375346 376194 396592 429936 465764 501592 552396 563019 594888 598429 644462 698646 736528 738192 750692 752388 815087 931528 966693 1003184 1104792 1126038 1189776 1196858 1288924 1313711 1397292 1501384 1504776 1630174 1795287 1863056 1933386 2209584 2252076 2393716 2439749 2445261 2577848 2627422 2794584 3002768 3009552 3260348 3590574 3866772 3941133 4189003 4504152 4787432 4879498 4890522 5155696 5254844 5589168 6520696 7181148 7319247 7733544 7779577 7882266 8378006 9008304 9574864 9758996 9781044 10509688 12567009 13041392 14362296 14638494 15467088 15559154 15764532 16756012 17078243 19517992 19562088 21019376 23338731 25134018 28724592 29276988 31118308 31529064 31716737 33512024 34156486 39035984 39124176 46677462 50268036 51234729 54457039 58553976 62236616 63058128 63433474 67024048 68312972 93354924 95150211 100536072 102469458 108914078 117107952 124473232 126866948 136625944 163371117 186709848 190300422 201072144 204938916 217828156 222017159 253733896 273251888 326742234 373419696 380600844 409877832 412317581 435656312 444034318 507467792 653484468 666051477 761201688 819755664 824635162 871312624 888068636 1236952743 1306968936 1332102954 1522403376 1649270324 1776137272 2473905486 2613937872 2664205908 2886223067 3298540648 3552274544 4947810972 5328411816 5772446134 6597081296 8658669201 9895621944 10656823632 11544892268 17317338402 19791243888 23089784536 34634676804 46179569072 69269353608 138538707216
- Sum of all divisors σ(n): 451576097280
- Sum of proper divisors (its aliquot sum) s(n): 313037390064
- 138538707216 is an abundant number, because the sum of its proper divisors (313037390064) is greater than itself. Its abundance is 174498682848
Bases of 138538707216
- Binary: 100000010000011000110011101001000100002
- Hexadecimal: 0x20418CE910
- Base-36: 1RN6DAMO
Squares and roots of 138538707216
- 138538707216 squared (1385387072162) is 19192973397080570470656
- 138538707216 cubed (1385387072163) is 2658969722062622061596466903453696
-
The
square root of 138538707216 is 372207.8817220291 -
The
cube root of 138538707216 is 5174.3647967163
Scales and comparisons
How big is 138538707216?- 138,538,707,216 seconds is equal to 4,405 years, 5 weeks, 2 days, 6 hours, 13 minutes, 36 seconds.
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To count from 1 to 138,538,707,216 would take you about eight thousand, eight hundred ten 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 138538707216 cubic inches would be around 431.2 feet tall.
Recreational maths with 138538707216
- 138538707216 backwards is 612707835831
- The number of decimal digits it has is: 12
- The sum of 138538707216's digits is 51
- More coming soon!
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