34137222392416

Names of 34137222392416

• Cardinal: 34137222392416 can be written as Thirty-four trillion, one hundred thirty-seven billion, two hundred twenty-two million, three hundred ninety-two thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 3.4137222392416 × 10¹³

Factors of 34137222392416

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1156

Divisors of 34137222392416

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 89 104 121 124 143 176 178 208 242 248 286 341 352 356 403 409 416 484 496 572 601 682 712 806 818 968 979 992 1144 1157 1202 1364 1424 1573 1612 1636 1936 1958 2288 2314 2404 2728 2759 2848 3146 3224 3272 3751 3872 3916 4433 4499 4576 4628 4808 5317 5456 5518 6292 6448 6544 6611 7502 7813 7832 8866 8998 9256 9616 10634 10769 10912 11036 12584 12679 12727 12896 13088 13222 15004 15626 15664 17732 17996 18512 18631 19232 21268 21538 22072 25168 25358 25454 26444 30008 30349 31252 31328 35464 35867 35992 36401 37024 37262 42536 43076 44144 48763 49489 50336 50716 50908 52888 53489 58487 60016 60698 62504 70928 71734 71984 72721 72802 74524 85072 85943 86152 88288 97526 98978 101432 101816 105776 106978 116974 120032 121396 125008 139469 139997 141856 143468 143968 145442 145604 149048 164827 170144 171886 172304 195052 197956 202864 203632 204941 211552 213956 233948 242203 242792 245809 250016 278938 279994 286936 290884 291208 298096 329654 333839 343772 344608 390104 394537 395912 400411 405728 407264 409882 427912 467896 473213 484406 485584 491618 557876 559988 573872 581768 582416 588379 596192 643357 659308 667678 687544 695357 780208 789074 791824 800822 819764 855824 935792 945373 946426 968812 971168 983236 1115752 1119976 1128431 1147744 1163536 1164832 1176758 1286714 1318616 1335356 1375088 1390714 1534159 1560416 1578148 1583648 1601644 1639528 1658159 1711648 1813097 1871584 1890746 1892852 1937624 1966472 2231504 2239952 2254351 2256862 2327072 2353516 2573428 2637232 2664233 2670712 2703899 2750176 2781428 3068318 3156296 3195517 3203288 3279056 3316318 3626194 3781492 3785704 3875248 3932944 4339907 4404521 4463008 4479904 4508702 4513724 4707032 5146856 5205343 5274464 5328466 5341424 5407798 5562856 6136636 6312592 6391034 6406576 6472169 6558112 6632636 7252388 7562984 7571408 7620079 7648927 7750496 7865888 8679814 8809042 9017404 9027448 9414064 10293712 10410686 10656932 10682848 10815596 11125712 12273272 12412741 12625184 12782068 12813152 12944338 13265272 14504776 14669603 15125968 15142816 15240158 15297854 17359628 17618084 18034808 18054896 18239749 18828128 19944067 20587424 20821372 21313864 21556067 21631192 21877001 22251424 24546544 24825482 25564136 25888676 26530544 29009552 29306563 29339206 29742889 30251936 30480316 30595708 34719256 35150687 35236168 36069616 36109792 36479498 39888134 41642744 42627728 43112134 43262384 43754002 49093088 49650964 51128272 51777352 53061088 57258773 58019104 58613126 58678412 59485778 60960632 61191416 69438512 70301374 70472336 72139232 72958996 79776268 83285488 83820869 84138197 85255456 86224268 86524768 87508004 99061027 99301928 102256544 103554704 114517546 117226252 117356824 118971556 121921264 122382832 136540151 138877024 140602748 140944672 145917992 159552536 161365633 166570976 167641738 168276394 172448536 175016008 198122054 198603856 200637239 207109408 229035092 234452504 234713648 237116737 237943112 240647011 243842528 244765664 273080302 281205496 284401013 291835984 319105072 322731266 335283476 336552788 344897072 350032016 386657557 396244108 397207712 401274478 458070184 468905008 469427296 474233474 475886224 481294022 546160604 562410992 568802026 583671968 638210144 645462532 670566952 673105576 678187031 689794144 700064032 773315114 792488216 802548956 916140368 922029559 937810016 948466948 951772448 962588044 1089671297 1092321208 1124821984 1137604052 1290925064 1341133904 1346211152 1356374062 1546630228 1584976432 1605097912 1775021963 1832280736 1844059118 1896933896 1925176088 2179342594 2184642416 2275208104 2581850128 2608284107 2647117121 2682267808 2692422304 2712748124 3093260456 3128411143 3169952864 3210195824 3550043926 3688118236 3793867792 3850352176 4358685188 4369284832 4550416208 5163700256 5216568214 5294234242 5425496248 6186520912 6256822286 6420391648 7100087852 7376236472 7460057341 7587735584 7700704352 8717370376 8816431403 9100832416 10433136428 10588468484 10850992496 11986384267 12373041824 12513644572 14200175704 14752472944 14920114682 17434740752 17632862806 20866272856 21176936968 21701984992 23972768534 25027289144 28400351408 29504945888 29840229364 34412522573 34869481504 35265725612 41732545712 42353873936 47945537068 50054578288 56800702816 59680458728 68825045146 70531451224 82060630751 83465091424 84707747872 95891074136 96980745433 100109156576 119360917456 137650090292 141062902448 164121261502 191782148272 193961490866 238721834912 275300180584 282125804896 328242523004 383564296544 387922981732 550600361168 656485046008 775845963464 1066788199763 1101200722336 1312970092016 1551691926928 2133576399526 2625940184032 3103383853856 4267152799052 8534305598104 17068611196208 34137222392416
• Sum of all divisors σ(n): 83385984729600
• Sum of proper divisors (its aliquot sum) s(n): 49248762337184
• 34137222392416 is an abundant number, because the sum of its proper divisors (49248762337184) is greater than itself. Its abundance is 15111539944768

Bases of 34137222392416

• Binary: 111110000110000110001000000111010101001100000₂
• Hexadecimal: 0x1F0C3103AA60
• Base-36: C3MF8TCV4

Squares and roots of 34137222392416

• 34137222392416 squared (34137222392416²) is 1165349952669268370694317056
• 34137222392416 cubed (34137222392416³) is 39781810499262273974633812433439553847296
• The square root of 34137222392416 is 5842706.7693335423
• The cube root of 34137222392416 is 32439.6425776733

Scales and comparisons

• 34,137,222,392,416 seconds is equal to 1,085,458 years, 4 weeks, 15 hours, 40 minutes, 16 seconds.
• To count from 1 to 34,137,222,392,416 would take you about two million, seven hundred thirteen thousand, six hundred forty-five 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 34137222392416 cubic inches would be around 2703.3 feet tall.

Recreational maths with 34137222392416

• 34137222392416 backwards is 61429322273143
• The number of decimal digits it has is: 14
• The sum of 34137222392416's digits is 49
• More coming soon!