464431947275632128

Names of 464431947275632128

• Cardinal: 464431947275632128 can be written as Four hundred sixty-four quadrillion, four hundred thirty-one trillion, nine hundred forty-seven billion, two hundred seventy-five million, six hundred thirty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.64431947275632128 × 10¹⁷

Factors of 464431947275632128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 6102

Divisors of 464431947275632128

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 937 1248 1536 1664 1874 2496 2811 3328 3748 4992 5147 5622 6656 7496 9984 10294 11244 12181 14992 15441 19968 20588 22488 24362 29984 30882 36543 41176 44976 48724 59968 61764 66911 73086 82352 89952 97448 119936 123528 133822 146172 164704 179904 194896 200733 239872 247056 267644 292344 329408 359808 389792 401466 479744 494112 535288 584688 658816 719616 779584 802932 877969 988224 1070576 1169376 1317632 1439232 1559168 1605864 1755938 1976448 2141152 2338752 2633907 2635264 3118336 3211728 3511876 3952896 4282304 4677504 4822739 5267814 6236672 6423456 7023752 7905792 8564608 9355008 9645478 10535628 11413597 12846912 14047504 14468217 17129216 18710016 19290956 21071256 22827194 25693824 26491609 28095008 28936434 34240791 34258432 38581912 42142512 45654388 51387648 52983218 56190016 57872868 62695607 68481582 77163824 79474827 84285024 91308776 102775296 105966436 112380032 115745736 125391214 136963164 154327648 158949654 168570048 182617552 188086821 211932872 224760064 231491472 250782428 273926328 308655296 317899308 337140096 344390917 365235104 376173642 423865744 449520128 462982944 501564856 547852656 617310592 635798616 674280192 688781834 730470208 752347284 847731488 925965888 1003129712 1033172751 1095705312 1234621184 1271597232 1348560384 1377563668 1460940416 1504694568 1695462976 1851931776 2006259424 2066345502 2191410624 2469242368 2543194464 2755127336 2921880832 3009389136 3390925952 3703863552 4012518848 4132691004 4382821248 4518906443 5086388928 5510254672 5843761664 6018778272 6781851904 7407727104 8025037696 8265382008 8765642496 9037812886 10172777856 11020509344 12037556544 13556719329 13563703808 16050075392 16530764016 17531284992 18075625772 20345555712 22041018688 24075113088 24822637633 27113438658 32100150784 33061528032 36151251544 40691111424 44082037376 48150226176 49645275266 54226877316 58745783759 66123056064 72302503088 74467912899 88164074752 96300452352 99290550532 108453754632 117491567518 132246112128 144605006176 148935825798 176237351277 176328149504 198581101064 216907509264 234983135036 264492224256 289210012352 297871651596 322694289229 352474702554 397162202128 433815018528 469966270072 528984448512 578420024704 595743303192 645388578458 704949405108 794324404256 867630037056 939932540144 968082867687 1156840049408 1191486606384 1290777156916 1409898810216 1588648808512 1735260074112 1879865080288 1936165735374 2313680098816 2382973212768 2581554313832 2819797620432 3177297617024 3470520148224 3759730160576 3872331470748 4765946425536 5163108627664 5639595240864 6354595234048 6941040296448 7519460321152 7744662941496 9531892851072 10326217255328 11279190481728 12709190468096 15038920642304 15489325882992 19063785702144 20652434510656 22558380963456 23258811462121 30077841284608 30978651765984 38127571404288 41304869021312 45116761926912 46517622924242 61957303531968 69776434386363 82609738042624 90233523853824 93035245848484 123914607063936 139552868772726 165219476085248 186070491696968 247829214127872 279105737545452 302364549007573 372140983393936 495658428255744 558211475090904 604729098015146 744281966787872 907093647022719 1116422950181808 1209458196030292 1488563933575744 1814187294045438 2232845900363616 2418916392060584 2977127867151488 3628374588090876 4465691800727232 4837832784121168 5954255734302976 7256749176181752 8931383601454464 9675665568242336 11908511468605952 14513498352363504 17862767202908928 19351331136484672 29026996704727008 35725534405817856 38702662272969344 58053993409454016 77405324545938688 116107986818908032 154810649091877376 232215973637816064 464431947275632128
• Sum of all divisors σ(n): 1334133554001067512
• Sum of proper divisors (its aliquot sum) s(n): 869701606725435384
• 464431947275632128 is an abundant number, because the sum of its proper divisors (869701606725435384) is greater than itself. Its abundance is 405269659449803256

Bases of 464431947275632128

• Binary: 11001110001111111100110010100110111101101001111111000000000₂
• Hexadecimal: 0x671FE6537B4FE00
• Base-36: 3J0ZDV5EDREO

Squares and roots of 464431947275632128

• 464431947275632128 squared (464431947275632128²) is 215697033650235540801559501985808384
• 464431947275632128 cubed (464431947275632128³) is 100176593359756441611368249955984025401012238682161152
• The square root of 464431947275632128 is 681492441.0994095009
• The cube root of 464431947275632128 is 774415.4856039551

Scales and comparisons

• 464,431,947,275,632,128 seconds is equal to 14,767,499,341 years, 1 week, 3 days, 15 hours, 8 minutes, 48 seconds.
• To count from 1 to 464,431,947,275,632,128 would take you about forty-four billion, three hundred two million, four hundred ninety-eight thousand and twenty-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 464431947275632128 cubic inches would be around 64534.6 feet tall.

Recreational maths with 464431947275632128

• 464431947275632128 backwards is 821236572749134464
• 464431947275632128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 464431947275632128's digits is 78
• More coming soon!