83520714946164480

Names of 83520714946164480

• Cardinal: 83520714946164480 can be written as Eighty-three quadrillion, five hundred twenty trillion, seven hundred fourteen billion, nine hundred forty-six million, one hundred sixty-four thousand, four hundred eighty.

Scientific notation

• Scientific notation: 8.352071494616448 × 10¹⁶

Factors of 83520714946164480

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 73051

Divisors of 83520714946164480

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 8191 11520 16382 19531 24573 32764 39062 40955 45319 49146 58593 65528 73719 78124 81910 90638 97655 98292 117186 122865 131056 135957 147438 156248 163820 175779 181276 195310 196584 226595 234372 245730 262112 271914 292965 294876 312496 327640 351558 362552 368595 390620 393168 407871 453190 468744 491460 524224 543828 585930 589752 624992 655280 679785 703116 725104 737190 781240 786336 815742 878895 906380 937488 982920 1048448 1087656 1171860 1179504 1249984 1310560 1359570 1406232 1450208 1474380 1562480 1572672 1631484 1757790 1812760 1874976 1965840 2039355 2096896 2175312 2343720 2359008 2499968 2621120 2719140 2812464 2900416 2948760 3124960 3145344 3262968 3515580 3625520 3749952 3931680 4078710 4350624 4687440 4718016 4999936 5242240 5438280 5624928 5800832 5897520 6249920 6290688 6525936 7031160 7251040 7499904 7863360 8157420 8701248 9374880 9436032 10484480 10876560 11249856 11601664 11795040 12499840 13051872 14062320 14502080 14999808 15726720 16314840 17402496 18749760 18872064 21753120 22499712 23590080 24999680 26103744 28124640 29004160 31453440 32629680 34804992 37499520 43506240 44999424 47180160 52207488 56249280 58008320 65259360 74999040 87012480 94360320 104414976 112498560 130518720 159978421 174024960 224997120 261037440 319956842 371207929 479935263 522074880 639913684 742415858 799892105 885125389 959870526 1113623787 1279827368 1439805789 1484831716 1599784210 1770250778 1856039645 1919741052 2227247574 2399676315 2559654736 2655376167 2879611578 2969663432 3199568420 3340871361 3540501556 3712079290 3839482104 4425626945 4454495148 4799352630 5119309472 5310752334 5568118935 5759223156 5939326864 6399136840 6681742722 7081003112 7199028945 7424158580 7678964208 7966128501 8851253890 8908990296 9598705260 10238618944 10621504668 11136237870 11518446312 11878653728 12798273680 13276880835 13363485444 14162006224 14398057890 14848317160 15357928416 15932257002 16704356805 17702507780 17817980592 19197410520 20477237888 21243009336 22272475740 23036892624 23757307456 25596547360 26553761670 26726970888 28324012448 28796115780 29696634320 30715856832 31864514004 33408713610 35405015560 35635961184 38394821040 39830642505 40954475776 42486018672 44544951480 46073785248 47514614912 51193094720 53107523340 53453941776 56648024896 57592231560 59393268640 61431713664 63729028008 66817427220 70810031120 71271922368 76789642080 79661285010 84972037344 89089902960 92147570496 95029229824 102386189440 106215046680 106907883552 113296049792 115184463120 118786537280 122863427328 127458056016 133634854440 141620062240 142543844736 153579284160 159322570020 169944074688 178179805920 184295140992 204772378880 212430093360 213815767104 226592099584 230368926240 237573074560 254916112032 267269708880 283240124480 285087689472 307158568320 318645140040 339888149376 356359611840 368590281984 424860186720 427631534208 460737852480 475146149120 509832224064 534539417760 566480248960 614317136640 637290280080 679776298752 712719223680 849720373440 855263068416 921475704960 1019664448128 1069078835520 1132960497920 1274580560160 1425438447360 1699440746880 1842951409920 2039328896256 2138157671040 2549161120320 3398881493760 4276315342080 5098322240640 7250062061299 10196644481280 14500124122598 21750186183897 29000248245196 36250310306495 43500372367794 58000496490392 65250558551691 72500620612990 87000744735588 108750930919485 116000992980784 130501117103382 145001241225980 174001489471176 217501861838970 232001985961568 261002234206764 290002482451960 326252792758455 348002978942352 435003723677940 464003971923136 522004468413528 580004964903920 652505585516910 696005957884704 870007447355880 928007943846272 1044008936827056 1160009929807840 1305011171033820 1392011915769408 1740014894711760 1856015887692544 2088017873654112 2320019859615680 2610022342067640 2784023831538816 3480029789423520 4176035747308224 4640039719231360 5220044684135280 5568047663077632 6960059578847040 8352071494616448 9280079438462720 10440089368270560 13920119157694080 16704142989232896 20880178736541120 27840238315388160 41760357473082240 83520714946164480
• Sum of all divisors σ(n): 289029427903856640
• Sum of proper divisors (its aliquot sum) s(n): 205508712957692160
• 83520714946164480 is an abundant number, because the sum of its proper divisors (205508712957692160) is greater than itself. Its abundance is 121987998011527680

Bases of 83520714946164480

• Binary: 100101000101110011010010111010001110000001011011100000000₂
• Hexadecimal: 0x128B9A5D1C0B700
• Base-36: MUDMER9ZNK0

Squares and roots of 83520714946164480

• 83520714946164480 squared (83520714946164480²) is 6975709825118462757304663213670400
• 83520714946164480 cubed (83520714946164480³) is 582616271850878003386595440299819239803182907392000
• The square root of 83520714946164480 is 288999506.8268533915
• The cube root of 83520714946164480 is 437117.3731227261

Scales and comparisons

• 83,520,714,946,164,480 seconds is equal to 2,655,700,388 years, 39 weeks, 1 day, 12 hours, 48 minutes.
• To count from 1 to 83,520,714,946,164,480 would take you about seven billion, nine hundred sixty-seven million, one hundred one thousand, one hundred sixty-six 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 83520714946164480 cubic inches would be around 36426.4 feet tall.

Recreational maths with 83520714946164480

• 83520714946164480 backwards is 08446164941702538
• 83520714946164480 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 83520714946164480's digits is 72
• More coming soon!