138225084706176
138,225,084,706,176 is an even composite number composed of six prime numbers multiplied together.
138225084706176 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138225084706176:
27 × 3 × 132 × 43 × 1093 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 43 × 1093 × 45319)See below for interesting mathematical facts about the number 138225084706176 from the Numbermatics database.
Names of 138225084706176
- Cardinal: 138225084706176 can be written as One hundred thirty-eight trillion, two hundred twenty-five billion, eighty-four million, seven hundred six thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.38225084706176 × 1014
Factors of 138225084706176
Divisors of 138225084706176
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 169 172 192 208 258 312 338 344 384 416 507 516 559 624 676 688 832 1014 1032 1093 1118 1248 1352 1376 1664 1677 2028 2064 2186 2236 2496 2704 2752 3279 3354 4056 4128 4372 4472 4992 5408 5504 6558 6708 7267 8112 8256 8744 8944 10816 13116 13416 14209 14534 16224 16512 17488 17888 21632 21801 26232 26832 28418 29068 32448 34976 35776 42627 43602 45319 46999 52464 53664 56836 58136 64896 69952 71552 85254 87204 90638 93998 104928 107328 113672 116272 135957 139904 140997 170508 174408 181276 184717 187996 209856 214656 227344 232544 271914 281994 341016 348816 362552 369434 375992 419712 454688 465088 543828 554151 563988 589147 610987 682032 697632 725104 738868 751984 909376 930176 1087656 1108302 1127976 1178294 1221974 1364064 1395264 1450208 1477736 1503968 1767441 1818752 1832961 1948717 2175312 2216604 2255952 2356588 2443948 2728128 2790528 2900416 2955472 3007936 3534882 3665922 3897434 4350624 4433208 4511904 4713176 4887896 5456256 5800832 5846151 5910944 6015872 7069764 7331844 7658911 7794868 7942831 8701248 8866416 9023808 9426352 9775792 11692302 11821888 14139528 14663688 15317822 15589736 15885662 17402496 17732832 18047616 18852704 19551584 22976733 23384604 23643776 23828493 25333321 28279056 29327376 30635644 31179472 31771324 35465664 37705408 39103168 45953466 46769208 47656986 49533667 50666642 56558112 58654752 61271288 62358944 63542648 70931328 75410816 75999963 78206336 91906932 93538416 95313972 99067334 101333284 113116224 117309504 122542576 124717888 127085296 148601001 151999926 183813864 187076832 190627944 198134668 202666568 226232448 234619008 245085152 249435776 254170592 297202002 303999852 329333173 367627728 374153664 381255888 396269336 405333136 490170304 508341184 594404004 607999704 643937671 658666346 735255456 748307328 762511776 792538672 810666272 980340608 987999519 1016682368 1188808008 1215999408 1287875342 1317332692 1470510912 1525023552 1585077344 1621332544 1931813013 1975999038 2129947681 2377616016 2431998816 2575750684 2634665384 2941021824 3050047104 3170154688 3242665088 3863626026 3951998076 4259895362 4755232032 4863997632 5151501368 5269330768 6340309376 6389843043 7727252052 7903996152 8371189723 8519790724 9510464064 9727995264 10303002736 10538661536 12779686086 15454504104 15807992304 16742379446 17039581448 19020928128 20606005472 21077323072 25113569169 25559372172 27689319853 30909008208 31615984608 33484758892 34079162896 41212010944 42154646144 50227138338 51118744344 55378639706 61818016416 63231969216 66969517784 68158325792 82424021888 83067959559 100454276676 102237488688 110757279412 123636032832 126463938432 133939035568 136316651584 166135919118 200908553352 204474977376 221514558824 247272065664 267878071136 272633303168 332271838236 359961158089 401817106704 408949954752 443029117648 535756142272 664543676472 719922316178 803634213408 817899909504 886058235296 1071512284544 1079883474267 1329087352944 1439844632356 1607268426816 1772116470592 2159766948534 2658174705888 2879689264712 3214536853632 3544232941184 4319533897068 5316349411776 5759378529424 8639067794136 10632698823552 11518757058848 17278135588272 23037514117696 34556271176544 46075028235392 69112542353088 138225084706176
- Sum of all divisors σ(n): 407203180243200
- Sum of proper divisors (its aliquot sum) s(n): 268978095537024
- 138225084706176 is an abundant number, because the sum of its proper divisors (268978095537024) is greater than itself. Its abundance is 130753010830848
Bases of 138225084706176
- Binary: 111110110110111000010010001001010101101100000002
- Hexadecimal: 0x7DB70912AD80
- Base-36: 1CZVQ6KGAO
Squares and roots of 138225084706176
- 138225084706176 squared (1382250847061762) is 19106174042029530336252542976
- 138225084706176 cubed (1382250847061763) is 2640952525370472921513301612804685772619776
-
The
square root of 138225084706176 is 11756916.4624988299 -
The
cube root of 138225084706176 is 51704.5728858701
Scales and comparisons
How big is 138225084706176?- 138,225,084,706,176 seconds is equal to 4,395,130 years, 7 weeks, 6 hours, 49 minutes, 36 seconds.
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To count from 1 to 138,225,084,706,176 would take you about ten million, nine hundred eighty-seven thousand, eight hundred twenty-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 138225084706176 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138225084706176
- 138225084706176 backwards is 671607480522831
- The number of decimal digits it has is: 15
- The sum of 138225084706176's digits is 60
- More coming soon!
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