34315985664

Names of 34315985664

• Cardinal: 34315985664 can be written as Thirty-four billion, three hundred fifteen million, nine hundred eighty-five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.4315985664 × 10¹⁰

Factors of 34315985664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 936

Divisors of 34315985664

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 37 48 51 54 64 68 72 74 81 96 102 108 111 128 136 144 148 153 162 192 204 216 222 243 256 272 288 296 306 324 333 384 408 432 444 459 486 544 576 592 612 629 648 666 768 816 864 877 888 918 972 999 1088 1152 1184 1224 1258 1296 1332 1377 1632 1728 1754 1776 1836 1887 1944 1998 2176 2304 2368 2448 2516 2592 2631 2664 2754 2997 3264 3456 3508 3552 3672 3774 3888 3996 4131 4352 4736 4896 5032 5184 5262 5328 5508 5661 5994 6528 6912 7016 7104 7344 7548 7776 7893 7992 8262 8991 9472 9792 10064 10368 10524 10656 11016 11322 11988 13056 14032 14208 14688 14909 15096 15552 15786 15984 16524 16983 17982 19584 20128 20736 21048 21312 22032 22644 23679 23976 28064 28416 29376 29818 30192 31104 31572 31968 32449 33048 33966 35964 39168 40256 42096 42624 44064 44727 45288 47358 47952 50949 56128 58752 59636 60384 62208 63144 63936 64898 66096 67932 71037 71928 80512 84192 85248 88128 89454 90576 94716 95904 97347 101898 112256 117504 119272 120768 126288 127872 129796 132192 134181 135864 142074 143856 152847 161024 168384 176256 178908 181152 189432 191808 194694 203796 213111 224512 238544 241536 252576 255744 259592 264384 268362 271728 284148 287712 292041 305694 336768 352512 357816 362304 378864 383616 389388 402543 407592 426222 477088 483072 505152 519184 528768 536724 543456 551633 568296 575424 584082 611388 673536 715632 724608 757728 767232 778776 805086 815184 852444 876123 954176 1010304 1038368 1057536 1073448 1086912 1103266 1136592 1150848 1168164 1207629 1222776 1431264 1449216 1515456 1557552 1610172 1630368 1654899 1704888 1752246 1908352 2020608 2076736 2146896 2173824 2206532 2273184 2301696 2336328 2415258 2445552 2628369 2862528 3030912 3115104 3220344 3260736 3309798 3409776 3504492 3622887 3816704 4153472 4293792 4347648 4413064 4546368 4672656 4830516 4891104 4964697 5256738 5725056 6061824 6230208 6440688 6521472 6619596 6819552 7008984 7245774 7885107 8306944 8587584 8826128 9092736 9345312 9661032 9782208 9929394 10513476 11450112 12460416 12881376 13042944 13239192 13639104 14017968 14491548 14894091 15770214 17175168 17652256 18185472 18690624 19322064 19564416 19858788 21026952 24920832 25762752 26478384 27278208 28035936 28983096 29788182 31540428 34350336 35304512 37381248 38644128 39128832 39717576 42053904 44682273 51525504 52956768 54556416 56071872 57966192 59576364 63080856 70609024 74762496 77288256 79435152 84107808 89364546 103051008 105913536 112143744 115932384 119152728 126161712 134046819 141218048 154576512 158870304 168215616 178729092 211827072 224287488 231864768 238305456 252323424 268093638 309153024 317740608 336431232 357458184 423654144 463729536 476610912 504646848 536187276 635481216 672862464 714916368 927459072 953221824 1009293696 1072374552 1270962432 1429832736 1906443648 2018587392 2144749104 2859665472 3812887296 4289498208 5719330944 8578996416 11438661888 17157992832 34315985664
• Sum of all divisors σ(n): 111705074208
• Sum of proper divisors (its aliquot sum) s(n): 77389088544
• 34315985664 is an abundant number, because the sum of its proper divisors (77389088544) is greater than itself. Its abundance is 43073102880

Bases of 34315985664

• Binary: 11111111101011001000110001100000000₂
• Hexadecimal: 0x7FD646300
• Base-36: FRIUO00

Squares and roots of 34315985664

• 34315985664 squared (34315985664²) is 1177586872091853520896
• 34315985664 cubed (34315985664³) is 40410054220818647114255060434944
• The square root of 34315985664 is 185245.7439834989
• The cube root of 34315985664 is 3249.6168594175

Scales and comparisons

• 34,315,985,664 seconds is equal to 1,091 years, 7 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 34,315,985,664 would take you about two thousand, one hundred eighty-two 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 34315985664 cubic inches would be around 270.8 feet tall.

Recreational maths with 34315985664

• 34315985664 backwards is 46658951343
• 34315985664 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34315985664's digits is 54
• More coming soon!