34446943400064

Names of 34446943400064

• Cardinal: 34446943400064 can be written as Thirty-four trillion, four hundred forty-six billion, nine hundred forty-three million, four hundred thousand and sixty-four.

Scientific notation

• Scientific notation: 3.4446943400064 × 10¹³

Factors of 34446943400064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 315

Divisors of 34446943400064

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 19 24 26 32 37 38 39 48 52 57 64 74 76 78 96 104 111 114 128 148 152 156 169 192 208 222 228 241 247 296 304 312 338 384 416 444 456 481 482 494 507 592 608 624 676 703 723 741 832 888 912 962 964 988 1014 1184 1216 1248 1352 1406 1443 1446 1482 1664 1776 1824 1924 1928 1976 2028 2109 2197 2368 2432 2496 2704 2812 2886 2892 2964 3133 3211 3552 3648 3848 3856 3952 4056 4218 4394 4579 4736 4992 5408 5624 5772 5784 5928 6253 6266 6422 6591 7104 7296 7696 7712 7904 8112 8436 8788 8917 9139 9158 9399 9633 10816 11248 11544 11568 11856 12506 12532 12844 13182 13737 14208 15392 15424 15808 16224 16872 17576 17834 18278 18316 18759 18798 19266 21632 22496 23088 23136 23712 25012 25064 25688 26364 26751 27417 27474 30784 30848 31616 32448 33744 35152 35668 36556 36632 37518 37596 38532 40729 41743 44992 46176 46272 47424 50024 50128 51376 52728 53502 54834 54948 58081 59527 61568 64896 67488 70304 71336 73112 73264 75036 75192 77064 81289 81458 83486 89984 92352 92544 94848 100048 100256 102752 105456 107004 109668 109896 115921 116162 118807 119054 122187 125229 134976 140608 142672 146224 146528 150072 150384 154128 162578 162916 166972 169423 174243 178581 184704 200096 200512 205504 210912 214008 219336 219792 231842 232324 237614 238108 243867 244374 250458 269952 281216 285344 292448 293056 300144 300768 308256 325156 325832 333944 338846 347763 348486 356421 357162 400192 401024 411008 421824 428016 438672 439584 463684 464648 475228 476216 487734 488748 500916 508269 529477 570688 584896 586112 600288 601536 616512 650312 651664 667888 677692 695526 696972 712842 714324 755053 773851 800384 843648 856032 877344 879168 927368 929296 950456 952432 975468 977496 1001832 1016538 1058954 1103539 1141376 1169792 1200576 1203072 1233024 1300624 1303328 1335776 1355384 1391052 1393944 1425684 1428648 1506973 1510106 1544491 1547702 1588431 1712064 1754688 1758336 1854736 1858592 1900912 1904864 1950936 1954992 2003664 2033076 2117908 2148997 2202499 2207078 2265159 2321553 2401152 2601248 2606656 2671552 2710768 2782104 2787888 2851368 2857296 3013946 3020212 3088982 3095404 3176862 3310617 3424128 3509376 3709472 3717184 3801824 3809728 3901872 3909984 4007328 4066152 4235816 4297994 4404998 4414156 4520919 4530318 4633473 4643106 5202496 5213312 5343104 5421536 5564208 5575776 5702736 5714592 6027892 6040424 6177964 6190808 6353724 6446991 6607497 6621234 7418944 7434368 7603648 7619456 7803744 7819968 8014656 8132304 8471632 8595988 8809996 8828312 9041838 9060636 9266946 9286212 9815689 10060063 10404992 10843072 11128416 11151552 11405472 11429184 12055784 12080848 12355928 12381616 12707448 12893982 13214994 13242468 14346007 14837888 15207296 15607488 15639936 16029312 16264608 16943264 17191976 17619992 17656624 18083676 18121272 18533892 18572424 19590649 19631378 20120126 21686144 22256832 22303104 22810944 22858368 24111568 24161696 24711856 24763232 25414896 25787964 26429988 26484936 27936961 28632487 28692014 29447067 30180189 31214976 32529216 33886528 34383952 35239984 35313248 36167352 36242544 37067784 37144848 39181298 39262756 40240252 40830943 43038021 44513664 45621888 48223136 48323392 49423712 49526464 50829792 51575928 52859976 52969872 55873922 57264974 57384028 58771947 58894134 60360378 65058432 67773056 68767904 70479968 70626496 72334704 72485088 74135568 74289696 78362596 78525512 80480504 81661886 83810883 85897461 86076042 96446272 96646784 98847424 99052928 101659584 103151856 105719952 105939744 111747844 114529948 114768056 117543894 117788268 120720756 122492829 127603957 137535808 140959936 141252992 144669408 144970176 148271136 148579392 156725192 157051024 160961008 163323772 167621766 171794922 172152084 186498091 192892544 197694848 203319168 206303712 211439904 211879488 223495688 229059896 229536112 235087788 235576536 241441512 244985658 255207914 275071616 281919872 289338816 289940352 296542272 297158784 313450384 314102048 321922016 326647544 335243532 343589844 344304168 363180493 372222331 372996182 382811871 412607424 422879808 423758976 446991376 458119792 459072224 470175576 471153072 482883024 489971316 510415828 530802259 559494273 578677632 593084544 626900768 628204096 643844032 653295088 670487064 687179688 688608336 726360986 744444662 745992364 765623742 825214848 845759616 893982752 916239584 918144448 940351152 942306144 965766048 979942632 1020831656 1061604518 1089541479 1116666993 1118988546 1253801536 1256408192 1287688064 1306590176 1340974128 1374359376 1377216672 1452721972 1488889324 1491984728 1531247484 1592406777 1787965504 1832479168 1836288896 1880702304 1884612288 1931532096 1959885264 2041663312 2123209036 2179082958 2233333986 2237977092 2424475183 2507603072 2613180352 2681948256 2748718752 2754433344 2905443944 2977778648 2983969456 3062494968 3184813554 3575931008 3664958336 3761404608 3769224576 3863064192 3919770528 4083326624 4246418072 4358165916 4466667972 4475954184 4721346409 4848950366 5226360704 5363896512 5497437504 5508866688 5810887888 5955557296 5967938912 6124989936 6369627108 6900429367 7273425549 7522809216 7839541056 8166653248 8492836144 8716331832 8933335944 8951908368 9442692818 9697900732 10727793024 10994875008 11621775776 11911114592 11935877824 12249979872 12739254216 13800858734 14164039227 14546851098 15679082112 16333306496 16985672288 17432663664 17866671888 17903816736 18885385636 19395801464 20701288101 23243551552 23822229184 23871755648 24499959744 25478508432 27601717468 28328078454 29093702196 33971344576 34865327328 35733343776 35807633472 37770771272 38791602928 41402576202 46487103104 47644458368 48999919488 50957016864 55203434936 56656156908 58187404392 67942689152 69730654656 71466687552 71615266944 75541542544 77583205856 82805152404 89705581771 101914033728 110406869872 113312313816 116374808784 139461309312 142933375104 151083085088 155166411712 165610304808 179411163542 203828067456 220813739744 226624627632 232749617568 269116745313 302166170176 310332823424 331220609616 358822327084 441627479488 453249255264 465499235136 538233490626 604332340352 662441219232 717644654168 883254958976 906498510528 930998470272 1076466981252 1324882438464 1435289308336 1812997021056 2152933962504 2649764876928 2870578616672 4305867925008 5741157233344 8611735850016 11482314466688 17223471700032 34446943400064
• Sum of all divisors σ(n): 107604535248000
• Sum of proper divisors (its aliquot sum) s(n): 73157591847936
• 34446943400064 is an abundant number, because the sum of its proper divisors (73157591847936) is greater than itself. Its abundance is 38710648447872

Bases of 34446943400064

• Binary: 111110101010001001101110100110011000010000000₂
• Hexadecimal: 0x1F544DD33080
• Base-36: C7KPGPFUO

Squares and roots of 34446943400064

• 34446943400064 squared (34446943400064²) is 1186591909607212768755204096
• 34446943400064 cubed (34446943400064³) is 40874464349213516359282665567560499462144
• The square root of 34446943400064 is 5869151.8467376525
• The cube root of 34446943400064 is 32537.4537518361

Scales and comparisons

• 34,446,943,400,064 seconds is equal to 1,095,306 years, 12 weeks, 6 days, 12 hours, 54 minutes, 24 seconds.
• To count from 1 to 34,446,943,400,064 would take you about two million, seven hundred thirty-eight thousand, two hundred sixty-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 34446943400064 cubic inches would be around 2711.5 feet tall.

Recreational maths with 34446943400064

• 34446943400064 backwards is 46000434964443
• The number of decimal digits it has is: 14
• The sum of 34446943400064's digits is 51
• More coming soon!