138311220432
138,311,220,432 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138311220432 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138311220432 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138311220432:
24 × 3 × 72 × 11 × 31 × 331 × 521
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 31 × 331 × 521)See below for interesting mathematical facts about the number 138311220432 from the Numbermatics database.
Names of 138311220432
- Cardinal: 138311220432 can be written as One hundred thirty-eight billion, three hundred eleven million, two hundred twenty thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38311220432 × 1011
Factors of 138311220432
Divisors of 138311220432
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 49 56 62 66 77 84 88 93 98 112 124 132 147 154 168 176 186 196 217 231 248 264 294 308 331 336 341 372 392 434 462 496 521 528 539 588 616 651 662 682 744 784 868 924 993 1023 1042 1078 1176 1232 1302 1324 1364 1488 1519 1563 1617 1736 1848 1986 2046 2084 2156 2317 2352 2387 2604 2648 2728 3038 3126 3234 3472 3641 3647 3696 3972 4092 4168 4312 4557 4634 4774 5208 5296 5456 5731 6076 6252 6468 6951 7161 7282 7294 7944 8184 8336 8624 9114 9268 9548 10261 10416 10923 10941 11462 12152 12504 12936 13902 14322 14564 14588 15888 16151 16219 16368 16709 17193 18228 18536 19096 20522 21846 21882 22924 24304 25008 25487 25529 25872 27804 28644 29128 29176 30783 32302 32438 33418 34386 36456 37072 38192 40117 41044 43692 43764 45848 48453 48657 50127 50974 51058 55608 57288 58256 58352 61566 64604 64876 66836 68772 71827 72912 76461 76587 80234 82088 87384 87528 91696 96906 97314 100254 101948 102116 111216 112871 113057 114576 120351 123132 129208 129752 133672 137544 143654 152922 153174 160468 164176 172451 174768 175056 177661 178409 193812 194628 200508 203896 204232 215481 225742 226114 240702 246264 258416 259504 267344 275088 280819 287308 305844 306348 320936 338613 339171 344902 355322 356818 387624 389256 401016 407792 408464 430962 451484 452228 481404 492528 502789 517353 532983 535227 561638 574616 611688 612696 641872 677226 678342 689804 710644 713636 775248 778512 790097 791399 802032 842457 861924 902968 904456 962808 1005578 1034706 1065966 1070454 1123276 1149232 1207157 1223376 1225392 1243627 1354452 1356684 1379608 1421288 1427272 1508367 1580194 1582798 1684914 1723848 1805936 1808912 1896961 1925616 2011156 2069412 2131932 2140908 2246552 2370291 2374197 2414314 2487254 2708904 2713368 2759216 2842576 2854544 3016734 3160388 3165596 3369828 3447696 3621471 3730881 3793922 4022312 4138824 4263864 4281816 4493104 4740582 4748394 4828628 4974508 5345981 5417808 5426736 5530679 5690883 6033468 6320776 6331192 6739656 7242942 7461762 7587844 8044624 8277648 8450099 8527728 8563632 8705389 9481164 9496788 9657256 9949016 10691962 11061358 11381766 12066936 12641552 12662384 13278727 13479312 14485884 14923524 15175688 16037943 16592037 16900198 17410778 18962328 18993576 19314512 19898032 21383924 22122716 22763532 24133872 25350297 26116167 26557454 28971768 29847048 30351376 32075886 33184074 33800396 34821556 37421867 37924656 37987152 39836181 42767848 44245432 45527064 50700594 52232334 53114908 57943536 58805791 59694096 64151772 66368148 67600792 69643112 74843734 79672362 85535696 88490864 91054128 92951089 101401188 104464668 106229816 112265601 117611582 128303544 132736296 135201584 139286224 149687468 159344724 176417373 185902178 202802376 208929336 212459632 224531202 235223164 256607088 261953069 265472592 278853267 299374936 318689448 352834746 371804356 405604752 411640537 417858672 449062404 470446328 523906138 557706534 598749872 637378896 705669492 743608712 785859207 823281074 898124808 940892656 1047812276 1115413068 1234921611 1411338984 1487217424 1571718414 1646562148 1796249616 2095624552 2230826136 2469843222 2822677968 2881483759 3143436828 3293124296 4191249104 4461652272 4939686444 5762967518 6286873656 6586248592 8644451277 9879372888 11525935036 12573747312 17288902554 19758745776 23051870072 34577805108 46103740144 69155610216 138311220432
- Sum of all divisors σ(n): 470366466048
- Sum of proper divisors (its aliquot sum) s(n): 332055245616
- 138311220432 is an abundant number, because the sum of its proper divisors (332055245616) is greater than itself. Its abundance is 193744025184
Bases of 138311220432
- Binary: 100000001100111111110110111100110100002
- Hexadecimal: 0x2033FDBCD0
- Base-36: 1RJEXGPC
Squares and roots of 138311220432
- 138311220432 squared (1383112204322) is 19129993697389294266624
- 138311220432 cubed (1383112204323) is 2645892775142381382227945844461568
-
The
square root of 138311220432 is 371902.1651348645 -
The
cube root of 138311220432 is 5171.5310652575
Scales and comparisons
How big is 138311220432?- 138,311,220,432 seconds is equal to 4,397 years, 45 weeks, 1 day, 7 hours, 27 minutes, 12 seconds.
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To count from 1 to 138,311,220,432 would take you about eight thousand, seven hundred ninety-five 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 138311220432 cubic inches would be around 431 feet tall.
Recreational maths with 138311220432
- 138311220432 backwards is 234022113831
- The number of decimal digits it has is: 12
- The sum of 138311220432's digits is 30
- More coming soon!
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