345624841903968

Names of 345624841903968

• Cardinal: 345624841903968 can be written as Three hundred forty-five trillion, six hundred twenty-four billion, eight hundred forty-one million, nine hundred three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.45624841903968 × 10¹⁴

Factors of 345624841903968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1166

Divisors of 345624841903968

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 557 593 792 1056 1114 1186 1584 1671 1779 2228 2372 3168 3342 3558 4456 4744 5013 5337 6127 6523 6684 7116 8912 9488 10026 10674 12254 13046 13368 14232 17824 18381 18976 19569 20052 21348 24508 26092 26736 28464 36762 39138 40104 42696 49016 52184 53472 55143 56928 58707 73524 78276 80208 85392 98032 104368 110286 117414 147048 156552 160416 170784 196064 208736 220572 234828 294096 310249 313104 330301 351649 441144 469656 588192 620498 626208 660602 703298 882288 930747 939312 990903 1054947 1240996 1321204 1406596 1764576 1861494 1878624 1981806 2109894 2481992 2642408 2792241 2813192 2972709 3164841 3412739 3633311 3722988 3868139 3963612 4219788 4963984 5284816 5584482 5626384 5945418 6329682 6825478 7266622 7445976 7736278 7927224 8439576 9927968 10238217 10569632 10899933 11168964 11252768 11604417 11890836 12659364 13650956 14533244 14891952 15472556 15854448 16879152 20476434 21799866 22337928 23208834 23781672 25318728 27301912 29066488 29783904 30714651 30945112 31708896 32699799 33758304 34813251 40952868 43599732 44675856 46417668 47563344 50637456 54603824 58132976 61429302 61890224 65399598 69626502 81905736 87199464 89351712 92835336 95126688 101274912 109207648 116265952 122858604 123780448 130799196 139253004 163811472 174398928 183977657 185670672 195868493 245717208 261598392 278506008 327622944 348797856 367955314 371341344 391736986 491434416 523196784 551932971 557012016 587605479 735910628 783473972 982868832 1046393568 1103865942 1114024032 1175210958 1471821256 1566947944 1655798913 1762816437 2023754227 2154553423 2207731884 2350421916 2943642512 3133895888 3311597826 3525632874 4047508454 4309106846 4415463768 4700843832 5887285024 6071262681 6267791776 6463660269 6623195652 7051265748 8095016908 8618213692 8830927536 9401687664 12142525362 12927320538 13246391304 14102531496 16190033816 17236427384 17661855072 18213788043 18803375328 19390980807 24285050724 25854641076 26492782608 28205062992 32380067632 34472854768 36427576086 38781961614 48570101448 51709282152 52985565216 56410125984 64760135264 68945709536 72855152172 77563923228 97140202896 103418564304 109098750601 145710304344 155127846456 194280405792 206837128608 218197501202 291420608688 310255692912 327296251803 436395002404 582841217376 620511385824 654592503606 872790004808 981888755409 1200086256611 1309185007212 1745580009616 1963777510818 2400172513222 2618370014424 3491160019232 3600258769833 3927555021636 4800345026444 5236740028848 7200517539666 7855110043272 9600690052888 10473480057696 10800776309499 14401035079332 15710220086544 19201380105776 21601552618998 28802070158664 31420440173088 38402760211552 43203105237996 57604140317328 86406210475992 115208280634656 172812420951984 345624841903968
• Sum of all divisors σ(n): 1075965411512628
• Sum of proper divisors (its aliquot sum) s(n): 730340569608660
• 345624841903968 is an abundant number, because the sum of its proper divisors (730340569608660) is greater than itself. Its abundance is 384715727704692

Bases of 345624841903968

• Binary: 1001110100101100000001101111011010101111101100000₂
• Hexadecimal: 0x13A580DED5F60
• Base-36: 3EIHUZ3MG0

Squares and roots of 345624841903968

• 345624841903968 squared (345624841903968²) is 119456531341142874355334145024
• 345624841903968 cubed (345624841903968³) is 41287144759178904430735583221033637593055232
• The square root of 345624841903968 is 18590988.1906252631
• The cube root of 345624841903968 is 70178.1071158935

Scales and comparisons

• 345,624,841,903,968 seconds is equal to 10,989,800 years, 46 weeks, 52 minutes, 48 seconds.
• To count from 1 to 345,624,841,903,968 would take you about twenty-seven million, four hundred seventy-four thousand, five hundred 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 345624841903968 cubic inches would be around 5848.2 feet tall.

Recreational maths with 345624841903968

• 345624841903968 backwards is 869309148426543
• 345624841903968 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345624841903968's digits is 72
• More coming soon!