137497148217
137,497,148,217 is an odd composite number composed of six prime numbers multiplied together.
137497148217 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 137497148217:
34 × 11 × 132 × 23 × 29 × 372
(3 × 3 × 3 × 3 × 11 × 13 × 13 × 23 × 29 × 37 × 37)See below for interesting mathematical facts about the number 137497148217 from the Numbermatics database.
Names of 137497148217
- Cardinal: 137497148217 can be written as One hundred thirty-seven billion, four hundred ninety-seven million, one hundred forty-eight thousand, two hundred seventeen.
Scientific notation
- Scientific notation: 1.37497148217 × 1011
Factors of 137497148217
Divisors of 137497148217
- Number of divisors d(n): 360
-
Complete list of divisors:
1 3 9 11 13 23 27 29 33 37 39 69 81 87 99 111 117 143 169 207 253 261 297 299 319 333 351 377 407 429 481 507 621 667 759 783 851 891 897 957 999 1053 1073 1131 1221 1287 1369 1443 1521 1859 1863 2001 2277 2349 2553 2691 2871 2997 3219 3289 3393 3663 3861 3887 4107 4147 4329 4563 4901 5291 5577 6003 6253 6831 7337 7659 8073 8613 8671 9361 9657 9867 10179 10989 11063 11583 11661 11803 12321 12441 12987 13689 13949 14703 15059 15873 16731 17797 18009 18759 20493 22011 22977 24219 24679 25839 26013 28083 28971 29601 30537 31487 32967 33189 34983 35409 36963 37323 38961 39701 41847 42757 44109 45177 47619 50193 53391 53911 54027 56277 66033 68783 68931 74037 78039 84249 86913 88803 94461 95381 99567 104949 106227 110889 111969 112723 119103 121693 125541 128271 132327 135531 142857 143819 150579 153439 160173 161733 168831 181337 195767 198099 206349 222111 231361 234117 252747 266409 271469 283383 286143 298701 314847 318681 320827 335907 338169 346357 357309 365079 376623 384813 396981 406593 409331 428571 431457 436711 460317 480519 485199 506493 516113 544011 587301 594297 619047 666333 694083 702351 758241 814407 850149 858429 896103 913123 956043 962481 1014507 1039071 1071927 1095237 1129869 1154439 1219779 1227993 1239953 1294371 1310133 1380951 1441557 1455597 1548339 1582009 1632033 1761903 1857141 1994707 1998999 2082249 2443221 2544971 2550447 2575287 2739369 2887443 3043521 3117213 3215781 3285711 3463317 3529097 3683979 3719859 3883113 3930399 4142853 4170751 4366791 4502641 4645017 4746027 4896099 5285709 5321303 5571423 5677243 5984121 6246747 6709469 7329663 7634913 7725861 8218107 8662329 9130563 9351639 9857133 10044353 10587291 11051937 11159577 11649339 11791197 11870599 12428559 12512253 13507923 13935051 14238081 14688297 15857127 15963909 17031729 17952363 18740241 20128407 21988989 22904739 24654321 25986987 28054917 30133059 31761873 33155811 33478731 35373591 35611797 37536759 40523769 41805153 42714243 45878261 47891727 51095187 53857089 58534333 60385221 68714217 73804159 73962963 90399177 95285619 100436193 106835391 112610277 121571307 128142729 130576589 137634783 143675181 153285561 154317787 161571267 175602999 181155663 206142651 221412477 271197531 285856857 320506173 337830831 364713921 391729767 412904349 431025543 459856683 462953361 526808997 543466989 664237431 813592593 961518519 1175189301 1238713047 1388860083 1580426991 1697495657 1992712293 3525567903 3716139141 4166580249 4741280973 5092486971 5978136879 10576703709 12499740747 15277460913 45832382739 137497148217
- Sum of all divisors σ(n): 269180936640
- Sum of proper divisors (its aliquot sum) s(n): 131683788423
- 137497148217 is a deficient number, because the sum of its proper divisors (131683788423) is less than itself. Its deficiency is 5813359794
Bases of 137497148217
- Binary: 100000000000110111011111111011001110012
- Hexadecimal: 0x200377FB39
- Base-36: 1R5Y92K9
Squares and roots of 137497148217
- 137497148217 squared (1374971482172) is 18905465767807666279089
- 137497148217 cubed (1374971482173) is 2599447628787670397524773120734313
-
The
square root of 137497148217 is 370806.0789914317 -
The
cube root of 137497148217 is 5161.3648941395
Scales and comparisons
How big is 137497148217?- 137,497,148,217 seconds is equal to 4,371 years, 51 weeks, 1 day, 4 hours, 16 minutes, 57 seconds.
-
To count from 1 to 137,497,148,217 would take you about eight thousand, seven hundred forty-three 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 137497148217 cubic inches would be around 430.1 feet tall.
Recreational maths with 137497148217
- 137497148217 backwards is 712841794731
- The number of decimal digits it has is: 12
- The sum of 137497148217's digits is 54
- More coming soon!
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