137008128705318
137,008,128,705,318 is an even composite number composed of five prime numbers multiplied together.
What does the number 137008128705318 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
137008128705318 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137008128705318:
2 × 34 × 133 × 127 × 17412
(2 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 127 × 1741 × 1741)See below for interesting mathematical facts about the number 137008128705318 from the Numbermatics database.
Names of 137008128705318
- Cardinal: 137008128705318 can be written as One hundred thirty-seven trillion, eight billion, one hundred twenty-eight million, seven hundred five thousand, three hundred eighteen.
Scientific notation
- Scientific notation: 1.37008128705318 × 1014
Factors of 137008128705318
Divisors of 137008128705318
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 6 9 13 18 26 27 39 54 78 81 117 127 162 169 234 254 338 351 381 507 702 762 1014 1053 1143 1521 1651 1741 2106 2197 2286 3042 3302 3429 3482 4394 4563 4953 5223 6591 6858 9126 9906 10287 10446 13182 13689 14859 15669 19773 20574 21463 22633 27378 29718 31338 39546 42926 44577 45266 47007 59319 64389 67899 89154 94014 118638 128778 133731 135798 141021 177957 193167 203697 221107 267462 279019 282042 294229 355914 386334 407394 442214 558038 579501 588458 611091 663321 837057 882687 1159002 1222182 1326642 1674114 1738503 1765374 1833273 1989963 2511171 2648061 2874391 3031081 3477006 3666546 3824977 3979926 5022342 5296122 5748782 5969889 6062162 7533513 7649954 7944183 8623173 9093243 11474931 11939778 15067026 15888366 17246346 17909667 18186486 22600539 22949862 23832549 25869519 27279729 34424793 35819334 37367083 39404053 45201078 47665098 51739038 54559458 68849586 74734166 77608557 78808106 81839187 103274379 112101249 118212159 155217114 163678374 206548758 224202498 232825671 236424318 245517561 309823137 336303747 354636477 384947287 465651342 485772079 491035122 512252689 619646274 672607494 709272954 769894574 971544158 1008911241 1024505378 1063909431 1154841861 1457316237 1536758067 2017822482 2127818862 2309683722 2914632474 3026733723 3073516134 3191728293 3464525583 4371948711 4610274201 5004314731 6053467446 6383456586 6659284957 6929051166 8743897422 9220548402 10008629462 10393576749 13115846133 13318569914 13830822603 15012944193 19977854871 20787153498 26231692266 27661645206 30025888386 31180730247 39347538399 39955709742 41492467809 45038832579 59933564613 62361460494 65056091503 78695076798 82984935618 90077665158 119867129226 130112183006 135116497737 179800693839 195168274509 270232995474 359601387678 390336549018 405349493211 539402081517 585504823527 810698986422 845729189539 1078804163034 1171009647054 1691458379078 1756514470581 2537187568617 3513028941162 5074375137234 5269543411743 7611562705851 10539086823486 15223125411702 22834688117553 45669376235106 68504064352659 137008128705318
- Sum of all divisors σ(n): 335382669135360
- Sum of proper divisors (its aliquot sum) s(n): 198374540430042
- 137008128705318 is an abundant number, because the sum of its proper divisors (198374540430042) is greater than itself. Its abundance is 61366411724724
Bases of 137008128705318
- Binary: 111110010011011101100001101011111000011001001102
- Hexadecimal: 0x7C9BB0D7C326
- Base-36: 1CKCNYDWDI
Squares and roots of 137008128705318
- 137008128705318 squared (1370081287053182) is 18771227331332982146881481124
- 137008128705318 cubed (1370081287053183) is 2571810730168052147482769068540728375417432
-
The
square root of 137008128705318 is 11705047.1466507983 -
The
cube root of 137008128705318 is 51552.3869109291
Scales and comparisons
How big is 137008128705318?- 137,008,128,705,318 seconds is equal to 4,356,434 years, 36 weeks, 2 days, 9 hours, 15 minutes, 18 seconds.
-
To count from 1 to 137,008,128,705,318 would take you about ten million, eight hundred ninety-one thousand and eighty-six 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 137008128705318 cubic inches would be around 4296 feet tall.
Recreational maths with 137008128705318
- 137008128705318 backwards is 813507821800731
- 137008128705318 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137008128705318's digits is 54
- More coming soon!
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