345845904768

Names of 345845904768

• Cardinal: 345845904768 can be written as Three hundred forty-five billion, eight hundred forty-five million, nine hundred four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.45845904768 × 10¹¹

Factors of 345845904768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 266

Divisors of 345845904768

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 182 189 192 208 216 224 234 241 243 252 273 288 312 324 336 338 351 364 378 384 416 432 448 468 482 486 504 507 546 567 576 624 648 672 676 702 723 728 729 756 819 832 864 896 936 964 972 1008 1014 1053 1092 1134 1152 1183 1248 1296 1344 1352 1404 1446 1456 1458 1512 1521 1638 1664 1687 1701 1728 1872 1928 1944 2016 2028 2106 2169 2184 2197 2268 2366 2457 2496 2592 2688 2704 2808 2892 2912 2916 3024 3042 3133 3159 3276 3374 3402 3456 3549 3744 3856 3888 4032 4056 4212 4338 4368 4394 4536 4563 4732 4914 4992 5061 5103 5184 5408 5616 5784 5824 5832 6048 6084 6266 6318 6507 6552 6591 6748 6804 7098 7371 7488 7712 7776 8064 8112 8424 8676 8736 8788 9072 9126 9399 9464 9477 9828 10122 10206 10368 10647 10816 11232 11568 11648 11664 12096 12168 12532 12636 13014 13104 13182 13496 13608 13689 14196 14742 14976 15183 15379 15424 15552 16224 16848 17352 17472 17576 18144 18252 18798 18928 18954 19521 19656 19773 20244 20412 21294 21632 21931 22113 22464 23136 23328 24192 24336 25064 25272 26028 26208 26364 26992 27216 27378 28197 28392 29484 30366 30758 30848 31104 31941 32448 33696 34704 34944 35152 36288 36504 37596 37856 37908 39042 39312 39546 40488 40729 40824 41067 42588 43862 44226 44928 45549 46137 46272 46656 48672 50128 50544 52056 52416 52728 53984 54432 54756 56394 56784 58563 58968 59319 60732 61516 63882 64896 65793 66339 67392 69408 70304 72576 73008 75192 75712 75816 78084 78624 79092 80976 81458 81648 82134 84591 85176 87724 88452 91098 92274 92544 93312 95823 97344 100256 101088 104112 104832 105456 107968 108864 109512 112788 113568 117126 117936 118638 121464 122187 123032 123201 127764 131586 132678 134784 136647 138411 138816 140608 146016 150384 151424 151632 156168 157248 158184 161952 162916 163296 164268 169182 170352 175448 175689 176904 177957 182196 184548 191646 194688 197379 200512 202176 208224 210912 215936 217728 219024 225576 227136 234252 235872 237276 242928 244374 246064 246402 253773 255528 263172 265356 273294 276822 277632 281216 285103 287469 292032 300768 303264 312336 314496 316368 323904 325832 326592 328536 338364 340704 350896 351378 353808 355914 364392 366561 369096 383292 394758 401024 404352 409941 415233 416448 421824 438048 451152 454272 468504 471744 474552 485856 488748 492128 492804 507546 511056 526344 529477 530712 533871 546588 553644 570206 574938 584064 592137 601536 606528 624672 632736 647808 651664 653184 657072 676728 681408 701792 702756 707616 711828 728784 733122 738192 761319 766584 789516 819882 830466 832896 843648 855309 862407 876096 902304 937008 943488 949104 971712 977496 984256 985608 1015092 1022112 1052688 1058954 1061424 1067742 1093176 1099683 1107288 1140412 1149876 1184274 1203072 1213056 1229823 1245699 1249344 1265472 1303328 1314144 1353456 1362816 1403584 1405512 1415232 1423656 1457568 1466244 1476384 1522638 1533168 1579032 1588431 1601613 1639764 1660932 1710618 1724814 1752192 1776411 1804608 1874016 1898208 1943424 1954992 1968512 1971216 2030184 2044224 2105376 2117908 2122848 2135484 2186352 2199366 2214576 2280824 2283957 2299752 2368548 2459646 2491398 2498688 2530944 2565927 2606656 2628288 2706912 2807168 2811024 2830464 2847312 2915136 2932488 2952768 3045276 3066336 3158064 3176862 3203226 3279528 3299049 3321864 3421236 3449628 3552822 3609216 3706339 3737097 3748032 3796416 3909984 3942432 4060368 4088448 4210752 4235816 4245696 4270968 4372704 4398732 4429152 4561648 4567914 4599504 4737096 4765293 4919292 4982796 5131854 5213312 5256576 5329233 5413824 5622048 5694624 5830272 5864976 5905536 6090552 6132672 6316128 6353724 6406452 6559056 6598098 6643728 6842472 6899256 7105644 7412678 7474194 7496064 7592832 7697781 7819968 7884864 8120736 8421504 8471632 8491392 8541936 8745408 8797464 8858304 9123296 9135828 9199008 9474192 9530586 9838584 9897147 9965592 10263708 10658466 10827648 11119017 11211291 11244096 11389248 11729952 12181104 12265344 12632256 12707448 12812904 13118112 13196196 13287456 13684944 13798512 14211288 14295879 14825356 14948388 15395562 15639936 15769728 15987699 16241472 16943264 17083872 17490816 17594928 17716608 18246592 18271656 18398016 18948384 19061172 19677168 19794294 19931184 20527416 21316932 22238034 22422582 22488192 22778496 23093343 23459904 24362208 25264512 25414896 25625808 26236224 26392392 26574912 27369888 27597024 28422576 28591758 29650712 29691441 29896776 30791124 31975398 32482944 33357051 33886528 34167744 35189856 36493184 36543312 36796032 37896768 38122344 39354336 39588588 39862368 41054832 42633864 42887637 44476068 44845164 46186686 46919808 48724416 50829792 51251616 52472448 52784784 53149824 54739776 55194048 56845152 57183516 59301424 59382882 59793552 61582248 63950796 66714102 67773056 68335488 69280029 70379712 73086624 75793536 76244688 78708672 79177176 79724736 82109664 85267728 85775274 88952136 89690328 92373372 97448832 100071153 101659584 102503232 105569568 109479552 110388096 113690304 114367032 118602848 118765764 119587104 123164496 127901592 128662911 133428204 138560058 140759424 146173248 152489376 157417344 158354352 159449472 164219328 170535456 171550548 177904272 179380656 184746744 200142306 203319168 205006464 207840087 211139136 227380608 228734064 237205696 237531528 239174208 246328992 255803184 257325822 266856408 277120116 292346496 300213459 304978752 316708704 328438656 341070912 343101096 355808544 358761312 369493488 385988733 400284612 415680174 422278272 457468128 474411392 475063056 478348416 492657984 511606368 514651644 533712816 554240232 600426918 609957504 633417408 682141824 686202192 711617088 717522624 738986976 771977466 800569224 831360348 900640377 914936256 950126112 985315968 1023212736 1029303288 1067425632 1108480464 1200853836 1266834816 1372404384 1423234176 1435045248 1477973952 1543954932 1601138448 1662720696 1801280754 1829872512 1900252224 2046425472 2058606576 2134851264 2216960928 2401707672 2701921131 2744808768 2955947904 3087909864 3202276896 3325441392 3602561508 3800504448 4117213152 4269702528 4433921856 4803415344 5403842262 5489617536 6175819728 6404553792 6650882784 7205123016 8234426304 8867843712 9606830688 10807684524 12351639456 12809107584 13301765568 14410246032 16468852608 19213661376 21615369048 24703278912 26603531136 28820492064 38427322752 43230738096 49406557824 57640984128 86461476192 115281968256 172922952384 345845904768
• Sum of all divisors σ(n): 1284229531200
• Sum of proper divisors (its aliquot sum) s(n): 938383626432
• 345845904768 is an abundant number, because the sum of its proper divisors (938383626432) is greater than itself. Its abundance is 592537721664

Bases of 345845904768

• Binary: 101000010000110000001011011010110000000₂
• Hexadecimal: 0x508605B580
• Base-36: 4EVNQ000

Squares and roots of 345845904768

• 345845904768 squared (345845904768²) is 119609389844796525133824
• 345845904768 cubed (345845904768³) is 41366417649622085331769813559672832
• The square root of 345845904768 is 588086.6473301363
• The cube root of 345845904768 is 7019.3065981781

Scales and comparisons

• 345,845,904,768 seconds is equal to 10,996 years, 43 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 345,845,904,768 would take you about twenty-one thousand, nine hundred ninety-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 345845904768 cubic inches would be around 584.9 feet tall.

Recreational maths with 345845904768

• 345845904768 backwards is 867409548543
• 345845904768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345845904768's digits is 63
• More coming soon!