138357159182208
138,357,159,182,208 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138357159182208 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138357159182208 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138357159182208:
27 × 32 × 19 × 232 × 31 × 61 × 71 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 23 × 23 × 31 × 61 × 71 × 89)See below for interesting mathematical facts about the number 138357159182208 from the Numbermatics database.
Names of 138357159182208
- Cardinal: 138357159182208 can be written as One hundred thirty-eight trillion, three hundred fifty-seven billion, one hundred fifty-nine million, one hundred eighty-two thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38357159182208 × 1014
Factors of 138357159182208
Divisors of 138357159182208
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 31 32 36 38 46 48 57 61 62 64 69 71 72 76 89 92 93 96 114 122 124 128 138 142 144 152 171 178 183 184 186 192 207 213 228 244 248 267 276 279 284 288 304 342 356 366 368 372 384 414 426 437 456 488 496 529 534 549 552 558 568 576 589 608 639 684 712 713 732 736 744 801 828 852 874 912 976 992 1058 1068 1098 1104 1116 1136 1152 1159 1178 1216 1278 1311 1349 1368 1403 1424 1426 1464 1472 1488 1587 1602 1633 1656 1691 1704 1748 1767 1824 1891 1952 1984 2047 2116 2136 2139 2196 2201 2208 2232 2272 2318 2356 2432 2556 2622 2698 2736 2759 2806 2848 2852 2928 2944 2976 3174 3204 3266 3312 3382 3408 3477 3496 3534 3648 3782 3904 3933 3968 4047 4094 4209 4232 4272 4278 4331 4392 4402 4416 4464 4544 4636 4712 4761 4899 5073 5112 5244 5301 5396 5429 5472 5518 5612 5673 5696 5704 5856 5952 6141 6319 6348 6408 6417 6532 6603 6624 6764 6816 6954 6992 7068 7296 7564 7808 7866 8094 8188 8277 8418 8464 8544 8556 8662 8784 8804 8832 8928 9088 9272 9424 9522 9798 10051 10146 10224 10431 10488 10602 10792 10858 10944 11036 11224 11346 11392 11408 11712 11904 12141 12282 12627 12638 12696 12816 12834 12993 13064 13206 13248 13528 13547 13632 13908 13984 14136 14697 15128 15219 15732 16188 16287 16376 16399 16554 16836 16928 17019 17088 17112 17324 17568 17608 17856 18423 18544 18848 18957 19044 19596 19809 20102 20292 20448 20862 20976 21204 21584 21716 21888 22072 22448 22692 22816 23424 24282 24564 24831 25254 25276 25392 25632 25668 25986 26128 26412 26496 26657 27056 27094 27264 27816 27968 28272 29394 30153 30256 30438 31027 31464 32269 32376 32574 32752 32798 33108 33672 33856 34038 34176 34224 34648 35136 35216 35712 35929 36846 37088 37559 37696 37914 38088 38893 38979 39192 39618 40204 40584 40641 40896 41724 41819 41952 42408 43168 43432 43493 44144 44896 45384 45632 47081 48564 48861 49128 49197 49662 50508 50552 50623 50784 51264 51336 51972 52256 52421 52824 53314 54112 54188 55632 55936 56544 56871 58788 60306 60512 60876 62054 62928 63457 64538 64752 65148 65504 65596 66216 67344 67712 68076 68448 69296 70272 70432 71858 73692 74176 75118 75392 75828 76176 77786 77958 78384 79236 79971 80408 81168 81282 81792 82289 83448 83638 83904 84816 86336 86864 86986 88288 89792 90459 90768 91264 93081 94162 96807 97128 97722 98256 98394 99324 99613 101016 101104 101246 101568 102528 102672 103151 103944 104512 104842 105648 106628 107787 108224 108376 111264 112677 113088 113742 116679 117576 120061 120612 121024 121752 121923 124108 124867 125457 125856 126914 129076 129504 130296 130479 131008 131192 132432 134261 134688 136152 136896 138592 140864 141243 143716 145337 147384 147591 148352 150236 151656 151869 152352 155572 155916 156768 157263 158472 159942 160816 162336 162564 164578 166896 167276 167808 168299 169632 172672 173728 173972 176576 179584 180918 181536 186162 188324 190371 193614 194256 195444 195889 196512 196788 198648 199226 202032 202208 202492 203136 205344 206302 207888 209024 209684 211296 213256 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404553097024 455122234152 480406802716 487173095712 495903796352 501294055008 518191607424 557891770896 567037537632 606829645536 649564127616 668392073344 720610204074 743855694528 751941082512 756050050176 777287411136 809106194048 910244468304 960813605432 974346191424 1002588110016 1080915306111 1115783541792 1134075075264 1213659291072 1441220408148 1487711389056 1503882165024 1554574822272 1820488936608 1921627210864 1948692382848 2005176220032 2161830612222 2231567083584 2268150150528 2427318582144 2882440816296 3007764330048 3640977873216 3843254421728 4323661224444 4463134167168 5764881632592 6015528660096 7281955746432 7686508843456 8647322448888 11529763265184 15373017686912 17294644897776 23059526530368 34589289795552 46119053060736 69178579591104 138357159182208
- Sum of all divisors σ(n): 471362830848000
- Sum of proper divisors (its aliquot sum) s(n): 333005671665792
- 138357159182208 is an abundant number, because the sum of its proper divisors (333005671665792) is greater than itself. Its abundance is 194648512483584
Bases of 138357159182208
- Binary: 111110111010101110010010101001100111111100000002
- Hexadecimal: 0x7DD5C9533F80
- Base-36: 1D1KEGAU80
Squares and roots of 138357159182208
- 138357159182208 squared (1383571591822082) is 19142703496970843487343755264
- 138357159182208 cubed (1383571591822083) is 2648530074908204729518597884860265935142912
-
The
square root of 138357159182208 is 11762532.0055763503 -
The
cube root of 138357159182208 is 51721.0356008779
Scales and comparisons
How big is 138357159182208?- 138,357,159,182,208 seconds is equal to 4,399,329 years, 36 weeks, 1 day, 1 hour, 16 minutes, 48 seconds.
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To count from 1 to 138,357,159,182,208 would take you about ten million, nine hundred ninety-eight thousand, three hundred twenty-four 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 138357159182208 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138357159182208
- 138357159182208 backwards is 802281951753831
- The number of decimal digits it has is: 15
- The sum of 138357159182208's digits is 63
- More coming soon!
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The information we have on file for 138357159182208 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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