137772182016

Names of 137772182016

• Cardinal: 137772182016 can be written as One hundred thirty-seven billion, seven hundred seventy-two million, one hundred eighty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.37772182016 × 10¹¹

Factors of 137772182016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 43

Divisors of 137772182016

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 64 72 81 84 93 96 98 108 112 124 126 128 144 147 162 168 186 189 192 196 216 217 224 243 248 252 256 279 288 294 324 336 372 378 384 392 432 434 441 448 486 496 504 512 558 567 576 588 648 651 672 729 744 756 768 784 837 864 868 882 896 972 992 1008 1116 1134 1152 1176 1296 1302 1323 1344 1458 1488 1512 1519 1536 1568 1674 1701 1728 1736 1764 1792 1944 1953 1984 2016 2187 2232 2268 2304 2352 2511 2592 2604 2646 2688 2916 2976 3024 3038 3136 3348 3402 3456 3472 3528 3584 3888 3906 3968 3969 4032 4374 4464 4536 4557 4608 4704 5022 5103 5184 5208 5292 5376 5832 5859 5952 6048 6076 6272 6561 6696 6804 6912 6944 7056 7533 7776 7812 7936 7938 8064 8748 8928 9072 9114 9408 10044 10206 10368 10416 10584 10752 11664 11718 11904 11907 12096 12152 12544 13122 13392 13608 13671 13824 13888 14112 15066 15309 15552 15624 15872 15876 16128 17496 17577 17856 18144 18228 18816 19683 20088 20412 20736 20832 21168 22599 23328 23436 23808 23814 24192 24304 25088 26244 26784 27216 27342 27776 28224 30132 30618 31104 31248 31752 32256 34992 35154 35712 35721 36288 36456 37632 39366 40176 40824 41013 41472 41664 42336 45198 45927 46656 46872 47616 47628 48384 48608 52488 52731 53568 54432 54684 55552 56448 59049 60264 61236 62208 62496 63504 67797 69984 70308 71424 71442 72576 72912 75264 78732 80352 81648 82026 83328 84672 90396 91854 93312 93744 95256 96768 97216 104976 105462 107136 107163 108864 109368 111104 112896 118098 120528 122472 123039 124416 124992 127008 135594 137781 139968 140616 142848 142884 145152 145824 157464 158193 160704 163296 164052 166656 169344 177147 180792 183708 186624 187488 190512 194432 203391 209952 210924 214272 214326 217728 218736 225792 236196 241056 244944 246078 249984 254016 271188 275562 279936 281232 285768 290304 291648 314928 316386 321408 321489 326592 328104 333312 338688 354294 361584 367416 369117 373248 374976 381024 388864 406782 413343 419904 421848 428544 428652 435456 437472 472392 474579 482112 489888 492156 499968 508032 542376 551124 559872 562464 571536 583296 610173 629856 632772 642816 642978 653184 656208 677376 708588 723168 734832 738234 749952 762048 777728 813564 826686 839808 843696 857304 870912 874944 944784 949158 964224 964467 979776 984312 999936 1016064 1084752 1102248 1107351 1119744 1124928 1143072 1166592 1220346 1240029 1259712 1265544 1285632 1285956 1306368 1312416 1417176 1423737 1446336 1469664 1476468 1499904 1524096 1627128 1653372 1679616 1687392 1714608 1749888 1830519 1889568 1898316 1928448 1928934 1959552 1968624 2032128 2169504 2204496 2214702 2249856 2286144 2333184 2440692 2480058 2519424 2531088 2571912 2612736 2624832 2834352 2847474 2892672 2893401 2939328 2952936 2999808 3048192 3254256 3306744 3322053 3359232 3374784 3429216 3499776 3661038 3779136 3796632 3856896 3857868 3919104 3937248 4271211 4339008 4408992 4429404 4499712 4572288 4881384 4960116 5038848 5062176 5143824 5249664 5491557 5668704 5694948 5785344 5786802 5878656 5905872 6096384 6508512 6613488 6644106 6749568 6858432 6999552 7322076 7558272 7593264 7715736 7838208 7874496 8542422 8678016 8680203 8817984 8858808 8999424 9144576 9762768 9920232 9966159 10077696 10124352 10287648 10499328 10983114 11337408 11389896 11570688 11573604 11757312 11811744 12813633 13017024 13226976 13288212 13499136 13716864 14644152 15116544 15186528 15431472 15748992 17084844 17356032 17360406 17635968 17717616 18289152 19525536 19840464 19932318 20248704 20575296 20998656 21966228 22674816 22779792 23147208 23514624 23623488 25627266 26034048 26453952 26576424 26998272 27433728 29288304 29898477 30233088 30373056 30862944 31497984 34169688 34712064 34720812 35271936 35435232 38440899 39051072 39680928 39864636 40497408 41150592 43932456 45349632 45559584 46294416 47246976 51254532 52068096 52907904 53152848 54867456 58576608 59796954 60746112 61725888 62995968 68339376 69441624 70543872 70870464 76881798 78102144 79361856 79729272 80994816 82301184 87864912 89695431 90699264 91119168 92588832 94493952 102509064 104136192 105815808 106305696 117153216 119593908 121492224 123451776 136678752 138883248 141740928 153763596 156204288 158723712 159458544 164602368 175729824 179390862 182238336 185177664 188987904 205018128 211631616 212611392 234306432 239187816 242984448 246903552 269086293 273357504 277766496 283481856 307527192 312408576 317447424 318917088 351459648 358781724 364476672 370355328 410036256 425222784 468612864 478375632 493807104 538172586 546715008 555532992 566963712 615054384 634894848 637834176 702919296 717563448 728953344 740710656 820072512 850445568 937225728 956751264 1076345172 1093430016 1111065984 1230108768 1275668352 1405838592 1435126896 1481421312 1640145024 1700891136 1913502528 2152690344 2186860032 2222131968 2460217536 2551336704 2811677184 2870253792 3280290048 3827005056 4305380688 4444263936 4920435072 5102673408 5740507584 6560580096 7654010112 8610761376 9840870144 11481015168 15308020224 17221522752 19681740288 22962030336 34443045504 45924060672 68886091008 137772182016
• Sum of all divisors σ(n): 495820765440
• Sum of proper divisors (its aliquot sum) s(n): 358048583424
• 137772182016 is an abundant number, because the sum of its proper divisors (358048583424) is greater than itself. Its abundance is 220276401408

Bases of 137772182016

• Binary: 10000000010011110111001010101000000000₂
• Hexadecimal: 0x2013DCAA00
• Base-36: 1RAI0000

Squares and roots of 137772182016

• 137772182016 squared (137772182016²) is 18981174137449833824256
• 137772182016 cubed (137772182016³) is 2615077778142130307704350987780096
• The square root of 137772182016 is 371176.7530651671
• The cube root of 137772182016 is 5164.8040062987

Scales and comparisons

• 137,772,182,016 seconds is equal to 4,380 years, 37 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,772,182,016 would take you about eight thousand, seven hundred sixty-one 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 137772182016 cubic inches would be around 430.4 feet tall.

Recreational maths with 137772182016

• 137772182016 backwards is 610281277731
• The number of decimal digits it has is: 12
• The sum of 137772182016's digits is 45
• More coming soon!