137626735544152128
137,626,735,544,152,128 is an even composite number composed of five prime numbers multiplied together.
137626735544152128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 137626735544152128:
26 × 34 × 31 × 47 × 18221254081
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 47 × 18221254081)See below for interesting mathematical facts about the number 137626735544152128 from the Numbermatics database.
Names of 137626735544152128
- Cardinal: 137626735544152128 can be written as One hundred thirty-seven quadrillion, six hundred twenty-six trillion, seven hundred thirty-five billion, five hundred forty-four million, one hundred fifty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37626735544152128 × 1017
Factors of 137626735544152128
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 18221254164
Divisors of 137626735544152128
- Number of divisors d(n): 280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 64 72 81 93 94 96 108 124 141 144 162 186 188 192 216 248 279 282 288 324 372 376 423 432 496 558 564 576 648 744 752 837 846 864 992 1116 1128 1269 1296 1457 1488 1504 1674 1692 1728 1984 2232 2256 2511 2538 2592 2914 2976 3008 3348 3384 3807 4371 4464 4512 5022 5076 5184 5828 5952 6696 6768 7614 8742 8928 9024 10044 10152 11656 13113 13392 13536 15228 17484 17856 20088 20304 23312 26226 26784 27072 30456 34968 39339 40176 40608 46624 52452 53568 60912 69936 78678 80352 81216 93248 104904 118017 121824 139872 157356 160704 209808 236034 243648 279744 314712 419616 472068 629424 839232 944136 1258848 1888272 2517696 3776544 7553088 18221254081 36442508162 54663762243 72885016324 109327524486 145770032648 163991286729 218655048972 291540065296 327982573458 437310097944 491973860187 564858876511 583080130592 655965146916 856398941807 874620195888 983947720374 1129717753022 1166160261184 1311930293832 1475921580561 1694576629533 1712797883614 1749240391776 1967895440748 2259435506044 2569196825421 2623860587664 2951843161122 3389153259066 3425595767228 3498480783552 3935790881496 4518871012088 5083729888599 5138393650842 5247721175328 5903686322244 6778306518132 6851191534456 7707590476263 7871581762992 9037742024176 10167459777198 10276787301684 10495442350656 11807372644488 13556613036264 13702383068912 15251189665797 15415180952526 15743163525984 18075484048352 20334919554396 20553574603368 23122771428789 23614745288976 26548367196017 27113226072528 27404766137824 30502379331594 30830361905052 31486327051968 36150968096704 40669839108792 41107149206736 45753568997391 46245542857578 47229490577952 53096734392034 54226452145056 54809532275648 61004758663188 61660723810104 69368314286367 79645101588051 81339678217584 82214298413472 91507137994782 92491085715156 94458981155904 106193468784068 108452904290112 122009517326376 123321447620208 138736628572734 159290203176102 162679356435168 164428596826944 183014275989564 184982171430312 212386937568136 238935304764153 244019034652752 246642895240416 277473257145468 318580406352204 325358712870336 366028551979128 369964342860624 424773875136272 477870609528306 488038069305504 493285790480832 554946514290936 637160812704408 716805914292459 732057103958256 739928685721248 849547750272544 955741219056612 976076138611008 1109893028581872 1274321625408816 1433611828584918 1464114207916512 1479857371442496 1699095500545088 1911482438113224 2150417742877377 2219786057163744 2548643250817632 2867223657169836 2928228415833024 3822964876226448 4300835485754754 4439572114327488 5097286501635264 5734447314339672 7645929752452896 8601670971509508 11468894628679344 15291859504905792 17203341943019016 22937789257358688 34406683886038032 45875578514717376 68813367772076064 137626735544152128
- Sum of all divisors σ(n): 430089233630352384
- Sum of proper divisors (its aliquot sum) s(n): 292462498086200256
- 137626735544152128 is an abundant number, because the sum of its proper divisors (292462498086200256) is greater than itself. Its abundance is 154835762542048128
Bases of 137626735544152128
- Binary: 1111010001111001011001001011010111011010010110000010000002
- Hexadecimal: 0x1E8F2C96BB4B040
- Base-36: 11N4LTH9Z800
Squares and roots of 137626735544152128
- 137626735544152128 squared (1376267355441521282) is 18941118336539986735985698406928384
- 137626735544152128 cubed (1376267355441521283) is 2606804284213479420945072617918646834442530097201152
-
The
square root of 137626735544152128 is 370980775.1678678673 -
The
cube root of 137626735544152128 is 516298.5867074121
Scales and comparisons
How big is 137626735544152128?- 137,626,735,544,152,128 seconds is equal to 4,376,104,482 years, 44 weeks, 5 days, 28 minutes, 48 seconds.
-
To count from 1 to 137,626,735,544,152,128 would take you about thirteen billion, one hundred twenty-eight million, three hundred thirteen thousand, four hundred forty-eight 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 137626735544152128 cubic inches would be around 43024.9 feet tall.
Recreational maths with 137626735544152128
- 137626735544152128 backwards is 821251445537626731
- 137626735544152128 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137626735544152128's digits is 72
- More coming soon!
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