138838906013184
138,838,906,013,184 is an even composite number composed of five prime numbers multiplied together.
138838906013184 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138838906013184:
29 × 35 × 13 × 79 × 1086587
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 79 × 1086587)See below for interesting mathematical facts about the number 138838906013184 from the Numbermatics database.
Names of 138838906013184
- Cardinal: 138838906013184 can be written as One hundred thirty-eight trillion, eight hundred thirty-eight billion, nine hundred six million, thirteen thousand, one hundred eighty-four.
Scientific notation
- Scientific notation: 1.38838906013184 × 1014
Factors of 138838906013184
Divisors of 138838906013184
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 79 81 96 104 108 117 128 144 156 158 162 192 208 216 234 237 243 256 288 312 316 324 351 384 416 432 468 474 486 512 576 624 632 648 702 711 768 832 864 936 948 972 1027 1053 1152 1248 1264 1296 1404 1422 1536 1664 1728 1872 1896 1944 2054 2106 2133 2304 2496 2528 2592 2808 2844 3081 3159 3328 3456 3744 3792 3888 4108 4212 4266 4608 4992 5056 5184 5616 5688 6162 6318 6399 6656 6912 7488 7584 7776 8216 8424 8532 9243 9984 10112 10368 11232 11376 12324 12636 12798 13824 14976 15168 15552 16432 16848 17064 18486 19197 19968 20224 20736 22464 22752 24648 25272 25596 27729 29952 30336 31104 32864 33696 34128 36972 38394 40448 41472 44928 45504 49296 50544 51192 55458 59904 60672 62208 65728 67392 68256 73944 76788 83187 89856 91008 98592 101088 102384 110916 121344 124416 131456 134784 136512 147888 153576 166374 179712 182016 197184 202176 204768 221832 249561 262912 269568 273024 295776 307152 332748 364032 394368 404352 409536 443664 499122 525824 539136 546048 591552 614304 665496 788736 808704 819072 887328 998244 1086587 1092096 1183104 1228608 1330992 1577472 1617408 1638144 1774656 1996488 2173174 2366208 2457216 2661984 3259761 3276288 3549312 3992976 4346348 4732416 4914432 5323968 6519522 7098624 7985952 8692696 9779283 9828864 10647936 13039044 14125631 14197248 15971904 17385392 19558566 21295872 26078088 28251262 29337849 31943808 34770784 39117132 42376893 42591744 52156176 56502524 58675698 63887616 69541568 78234264 84753786 85840373 88013547 104312352 113005048 117351396 127130679 127775232 139083136 156468528 169507572 171680746 176027094 208624704 226010096 234702792 254261358 257521119 264040641 278166272 312937056 339015144 343361492 352054188 381392037 417249408 452020192 469405584 508522716 515042238 528081282 556332544 625874112 678030288 686722984 704108376 762784074 772563357 834498816 904040384 938811168 1017045432 1030084476 1056162564 1115924849 1144176111 1251748224 1356060576 1373445968 1408216752 1525568148 1545126714 1668997632 1808080768 1877622336 2034090864 2060168952 2112325128 2231849698 2288352222 2317690071 2503496448 2712121152 2746891936 2816433504 3051136296 3090253428 3347774547 3432528333 3616161536 3755244672 4068181728 4120337904 4224650256 4463699396 4576704444 4635380142 5006992896 5424242304 5493783872 5632867008 6102272592 6180506856 6695549094 6865056666 6953070213 7232323072 7510489344 8136363456 8240675808 8449300512 8927398792 9153408888 9270760284 10043323641 10848484608 10987567744 11265734016 12204545184 12361013712 13391098188 13730113332 13906140426 15020978688 16272726912 16481351616 16898601024 17854797584 18306817776 18541520568 20086647282 20859210639 21696969216 21975135488 22531468032 24409090368 24722027424 26782196376 27460226664 27812280852 30129970923 32545453824 32962703232 33797202048 35709595168 36613635552 37083041136 40173294564 41718421278 43950270976 45062936064 48818180736 49444054848 53564392752 54920453328 55624561704 60259941846 65090907648 65925406464 67594404096 71419190336 73227271104 74166082272 80346589128 83436842556 90389912769 97636361472 98888109696 107128785504 109840906656 111249123408 120519883692 131850812928 135188808192 142838380672 146454542208 148332164544 160693178256 166873685112 180779825538 195272722944 197776219392 214257571008 219681813312 222498246816 241039767384 271169738307 285676761344 292909084416 296664329088 321386356512 333747370224 361559651076 395552438784 428515142016 439363626624 444996493632 482079534768 542339476614 571353522688 585818168832 593328658176 642772713024 667494740448 723119302152 857030284032 878727253248 889992987264 964159069536 1084678953228 1186657316352 1285545426048 1334989480896 1446238604304 1714060568064 1757454506496 1779985974528 1928318139072 2169357906456 2571090852096 2669978961792 2892477208608 3559971949056 3856636278144 4338715812912 5142181704192 5339957923584 5784954417216 7713272556288 8677431625824 10679915847168 11569908834432 15426545112576 17354863251648 23139817668864 34709726503296 46279635337728 69419453006592 138838906013184
- Sum of all divisors σ(n): 453168740344320
- Sum of proper divisors (its aliquot sum) s(n): 314329834331136
- 138838906013184 is an abundant number, because the sum of its proper divisors (314329834331136) is greater than itself. Its abundance is 175490928317952
Bases of 138838906013184
- Binary: 111111001000101111100111010110010000110000000002
- Hexadecimal: 0x7E45F3AC8600
- Base-36: 1D7PPNXC00
Squares and roots of 138838906013184
- 138838906013184 squared (1388389060131842) is 19276241822937740273581817856
- 138838906013184 cubed (1388389060131843) is 2676292326742259537889851460385208222613504
-
The
square root of 138838906013184 is 11782992.2351321271 -
The
cube root of 138838906013184 is 51780.9953505449
Scales and comparisons
How big is 138838906013184?- 138,838,906,013,184 seconds is equal to 4,414,647 years, 39 weeks, 1 day, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,838,906,013,184 would take you about eleven million, thirty-six thousand, six hundred nineteen 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 138838906013184 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138838906013184
- 138838906013184 backwards is 481310609838831
- The number of decimal digits it has is: 15
- The sum of 138838906013184's digits is 63
- More coming soon!
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