137140222464

Names of 137140222464

• Cardinal: 137140222464 can be written as One hundred thirty-seven billion, one hundred forty million, two hundred twenty-two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.37140222464 × 10¹¹

Factors of 137140222464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 222

Divisors of 137140222464

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 31 32 36 42 46 48 56 62 63 64 67 69 72 84 89 92 93 96 112 124 126 128 134 138 144 161 168 178 184 186 192 201 207 217 224 248 252 256 267 268 276 279 288 322 336 356 368 372 384 402 414 434 448 469 483 496 504 512 534 536 552 558 576 603 623 644 651 672 712 713 736 744 768 801 804 828 868 896 938 966 992 1008 1068 1072 1104 1116 1152 1206 1246 1288 1302 1344 1407 1424 1426 1449 1472 1488 1536 1541 1602 1608 1656 1736 1792 1869 1876 1932 1953 1984 2016 2047 2077 2136 2139 2144 2208 2232 2304 2412 2492 2576 2604 2688 2759 2814 2848 2852 2898 2944 2976 3082 3204 3216 3312 3472 3584 3738 3752 3864 3906 3968 4032 4094 4154 4221 4272 4278 4288 4416 4464 4608 4623 4824 4984 4991 5152 5208 5376 5518 5607 5628 5696 5704 5796 5888 5952 5963 6141 6164 6231 6408 6417 6432 6624 6944 7476 7504 7728 7812 7936 8064 8188 8277 8308 8442 8544 8556 8576 8832 8928 9246 9648 9968 9982 10304 10416 10752 10787 11036 11214 11256 11392 11408 11592 11776 11904 11926 12282 12328 12462 12816 12834 12864 13248 13869 13888 14329 14539 14952 14973 15008 15456 15624 15872 16128 16376 16554 16616 16884 17088 17112 17152 17664 17856 17889 18423 18492 18693 19296 19313 19936 19964 20608 20832 21574 22072 22428 22512 22784 22816 23184 23808 23852 24564 24656 24831 24924 25632 25668 25728 26496 27738 27776 28658 29078 29904 29946 30016 30912 31248 32256 32361 32752 33108 33232 33768 34176 34224 34304 35328 35712 35778 36846 36984 37386 38592 38626 39872 39928 41216 41664 41741 42987 43148 43617 44144 44856 44919 45024 45568 45632 46368 47616 47704 47771 49128 49312 49662 49848 51264 51336 51456 52992 53667 55476 55552 57316 57939 58156 59808 59892 60032 61824 62496 63457 64722 65504 66216 66464 67536 68352 68448 71424 71556 73692 73968 74772 77184 77252 79744 79856 82432 83328 83482 85974 86296 87234 88288 89712 89838 90048 91264 92736 95408 95542 97083 98256 98624 99324 99696 102528 102672 102912 105984 107334 110952 111104 114632 115878 116312 119616 119784 120064 123648 124992 125223 126914 128961 129444 130851 131008 132432 132928 135072 136704 136896 137149 142848 143112 143313 147384 147936 149544 154368 154504 159488 159712 166656 166964 171948 172592 173817 174468 176576 179424 179676 180096 182528 184853 185472 190371 190816 191084 194166 196512 197248 198648 199392 205056 205344 214668 221904 229264 231756 232624 239232 239568 240128 247296 249984 250446 253828 257922 258888 261702 262016 264864 265856 270144 273792 274298 286224 286626 294768 295872 299088 308736 309008 318976 319424 333312 333928 334397 343896 345184 347634 348936 353152 358848 359352 360192 365056 369706 370944 375669 380742 381632 382168 388332 393024 394496 397296 398784 410112 410688 411447 429336 429939 443808 444199 458528 463512 465248 478464 479136 499968 500892 507656 515844 517776 523404 524032 529728 531712 540288 547584 548596 554559 571113 572448 573252 589536 591744 598176 618016 638848 667856 668794 687792 690368 695268 697872 706304 717696 718704 720384 739412 741888 751338 761484 763264 764336 776664 786048 788992 794592 797568 821376 822894 858672 859878 887616 888398 917056 927024 930496 956928 958272 960043 999936 1001784 1003191 1015312 1031688 1035552 1046808 1048064 1059456 1063424 1080576 1095168 1097192 1109118 1142226 1144896 1146504 1179072 1183488 1196352 1234341 1236032 1277696 1293971 1332597 1335712 1337588 1375584 1380736 1390536 1395744 1412608 1435392 1437408 1478824 1502676 1522968 1526528 1528672 1553328 1572096 1589184 1595136 1642752 1645788 1663677 1717344 1719756 1775232 1776796 1834112 1854048 1860992 1916544 1920086 2003568 2006382 2030624 2063376 2071104 2093616 2118912 2161152 2194384 2218236 2284452 2289792 2293008 2358144 2366976 2392704 2468682 2472064 2555392 2587942 2665194 2671424 2675176 2751168 2761472 2781072 2791488 2870784 2874816 2880129 2957648 3005352 3009573 3045936 3053056 3057344 3106656 3144192 3178368 3190272 3285504 3291576 3327354 3434688 3439512 3550464 3553592 3668224 3708096 3721984 3833088 3840172 3881913 3997791 4007136 4012764 4061248 4126752 4142208 4187232 4237824 4251619 4388768 4436472 4568904 4579584 4586016 4716288 4785408 4937364 4944128 5175884 5330388 5342848 5350352 5502336 5522944 5562144 5582976 5749632 5760258 5915296 6010704 6019146 6091872 6114688 6213312 6356736 6583152 6654708 6869376 6879024 7100928 7107184 7336448 7416192 7443968 7666176 7680344 7763826 7995582 8014272 8025528 8122496 8253504 8284416 8374464 8503238 8640387 8777536 8872944 9137808 9159168 9172032 9432576 9570816 9874728 9888256 10351768 10660776 10685696 10700704 11004672 11124288 11165952 11499264 11520516 11645739 11830592 12021408 12038292 12183744 12229376 12426624 12713472 12754857 13166304 13309416 13738752 13758048 14214368 14832384 15360688 15527652 15991164 16028544 16051056 16244992 16507008 16568832 16748928 17006476 17280774 17555072 17745888 18275616 18344064 19749456 20703536 21321552 21371392 21401408 22009344 22248576 22331904 22998528 23041032 23291478 23661184 24042816 24076584 24367488 24458752 24853248 25509714 26332608 26618832 27477504 27516096 28428736 29664768 29761333 30721376 31055304 31982328 32057088 32102112 32489984 33014016 33497856 34012952 34561548 35110144 35491776 36551232 36688128 38264571 39498912 41407072 42643104 42802816 44497152 46082064 46582956 47322368 48085632 48153168 48734976 49706496 51019428 52665216 53237664 55032192 56857472 59522666 61442752 62110608 63964656 64114176 64204224 66028032 66995712 68025904 69123096 70220288 70983552 73102464 73376256 76529142 78997824 82814144 85286208 85605632 88994304 89283999 92164128 93165912 94644736 96171264 96306336 97469952 102038856 105330432 106475328 110064384 113714944 119045332 122885504 124221216 127929312 128408448 136051808 138246192 141967104 146204928 153058284 157995648 165628288 170572416 171211264 178567998 184328256 186331824 192342528 192612672 204077712 210660864 212950656 220128768 227429888 238090664 245771008 248442432 255858624 256816896 267851997 272103616 276492384 283934208 292409856 306116568 315991296 331256576 341144832 357135996 368656512 372663648 385225344 408155424 425901312 476181328 491542016 496884864 511717248 513633792 535703994 544207232 552984768 612233136 631982592 662513152 682289664 714271992 737313024 745327296 770450688 816310848 851802624 952362656 993769728 1023434496 1071407988 1088414464 1105969536 1224466272 1428543984 1474626048 1490654592 1540901376 1632621696 1904725312 1987539456 2046868992 2142815976 2176828928 2211939072 2448932544 2857087968 2981309184 3265243392 3809450624 4285631952 4423878144 4897865088 5714175936 5962618368 6530486784 7618901248 8571263904 9795730176 11428351872 15237802496 17142527808 19591460352 22856703744 34285055616 45713407488 68570111232 137140222464
• Sum of all divisors σ(n): 500059422720
• Sum of proper divisors (its aliquot sum) s(n): 362919200256
• 137140222464 is an abundant number, because the sum of its proper divisors (362919200256) is greater than itself. Its abundance is 225778977792

Bases of 137140222464

• Binary: 1111111101110001100011011101000000000₂
• Hexadecimal: 0x1FEE31BA00
• Base-36: 1R01QWW0

Squares and roots of 137140222464

• 137140222464 squared (137140222464²) is 18807440617475410231296
• 137140222464 cubed (137140222464³) is 2579256590259047285169595135033344
• The square root of 137140222464 is 370324.4826689157
• The cube root of 137140222464 is 5156.8949337543

Scales and comparisons

• 137,140,222,464 seconds is equal to 4,360 years, 33 weeks, 2 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,140,222,464 would take you about eight thousand, seven hundred twenty-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 137140222464 cubic inches would be around 429.7 feet tall.

Recreational maths with 137140222464

• 137140222464 backwards is 464222041731
• 137140222464 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137140222464's digits is 36
• More coming soon!