137401124224

Names of 137401124224

• Cardinal: 137401124224 can be written as One hundred thirty-seven billion, four hundred one million, one hundred twenty-four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37401124224 × 10¹¹

Factors of 137401124224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 39

Divisors of 137401124224

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 119 128 136 182 196 208 221 224 238 272 289 343 364 392 416 442 448 476 544 578 637 686 728 784 832 833 884 896 952 1088 1156 1274 1372 1456 1547 1568 1664 1666 1768 1904 2023 2176 2312 2401 2548 2744 2912 3094 3136 3332 3536 3757 3808 4046 4459 4624 4802 4913 5096 5488 5824 5831 6188 6272 6664 7072 7514 7616 8092 8918 9248 9604 9826 10192 10829 10976 11648 11662 12376 13328 14144 14161 15028 15232 16184 16807 17836 18496 19208 19652 20384 21658 21952 23324 24752 26299 26656 28288 28322 30056 31213 32368 33614 34391 35672 36992 38416 39304 40768 40817 43316 43904 46648 49504 52598 53312 56644 60112 62426 63869 64736 67228 68782 71344 75803 76832 78608 81536 81634 86632 93296 99008 99127 105196 106624 113288 120224 124852 127738 129472 134456 137564 142688 151606 153664 157216 163268 173264 184093 186592 198016 198254 210392 218491 226576 240448 240737 249704 255476 258944 268912 275128 285376 285719 303212 307328 314432 326536 346528 368186 373184 396508 420784 436982 447083 453152 480896 481474 499408 510952 530621 537824 550256 570752 571438 606424 628864 653072 693056 693889 736372 746368 793016 841568 873964 894166 906304 962948 998816 1021904 1061242 1075648 1100512 1142876 1212848 1288651 1306144 1386112 1387778 1472744 1586032 1683136 1685159 1747928 1788332 1812608 1925896 1997632 2043808 2122484 2151296 2201024 2285752 2425696 2577302 2612288 2775556 2945488 3129581 3172064 3366272 3370318 3495856 3576664 3714347 3851792 3995264 4087616 4244968 4402048 4571504 4851392 4857223 5154604 5224576 5551112 5890976 6259162 6344128 6740636 6991712 7153328 7428694 7703584 8175232 8489936 9020557 9143008 9702784 9714446 10309208 11102224 11781952 11796113 12518324 12688256 13481272 13983424 14306656 14857388 15407168 16979872 18041114 18286016 19428892 20618416 21907067 22204448 23563904 23592226 25036648 26962544 27966848 28613312 29714776 30814336 33959744 36082228 36572032 38857784 41236832 43814134 44408896 47184452 50073296 53925088 57226624 59429552 63143899 67919488 72164456 77715568 82473664 82572791 87628268 88817792 94368904 100146592 107850176 118859104 126287798 144328912 153349469 155431136 164947328 165145582 175256536 188737808 200293184 215700352 237718208 252575596 288657824 306698938 310862272 330291164 350513072 377475616 400586368 475436416 505151192 577315648 613397876 621724544 660582328 701026144 754951232 1010302384 1073446283 1154631296 1226795752 1321164656 1402052288 1509902464 2020604768 2146892566 2453591504 2642329312 2804104576 4041209536 4293785132 4907183008 5284658624 8082419072 8587570264 9814366016 10569317248 17175140528 19628732032 34350281056 68700562112 137401124224
• Sum of all divisors σ(n): 365402923200
• Sum of proper divisors (its aliquot sum) s(n): 228001798976
• 137401124224 is an abundant number, because the sum of its proper divisors (228001798976) is greater than itself. Its abundance is 90600674752

Bases of 137401124224

• Binary: 1111111111101101111101100010110000000₂
• Hexadecimal: 0x1FFDBEC580
• Base-36: 1R4D2XZ4

Squares and roots of 137401124224

• 137401124224 squared (137401124224²) is 18879068938019079602176
• 137401124224 cubed (137401124224³) is 2594005296386219312900729076711424
• The square root of 137401124224 is 370676.5763087817
• The cube root of 137401124224 is 5160.1630988247

Scales and comparisons

• 137,401,124,224 seconds is equal to 4,368 years, 48 weeks, 2 days, 18 hours, 57 minutes, 4 seconds.
• To count from 1 to 137,401,124,224 would take you about eight thousand, seven hundred thirty-seven 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 137401124224 cubic inches would be around 430 feet tall.

Recreational maths with 137401124224

• 137401124224 backwards is 422421104731
• The number of decimal digits it has is: 12
• The sum of 137401124224's digits is 31
• More coming soon!