31945008000

Names of 31945008000

• Cardinal: 31945008000 can be written as Thirty-one billion, nine hundred forty-five million, eight thousand.

Scientific notation

• Scientific notation: 3.1945008 × 10¹⁰

Factors of 31945008000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 525

Divisors of 31945008000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 53 58 60 64 75 80 87 96 100 106 116 120 125 128 145 150 159 160 174 192 200 212 232 240 250 265 290 300 318 320 348 375 384 400 424 433 435 464 480 500 530 580 600 636 640 696 725 750 795 800 848 866 870 928 960 1000 1060 1160 1200 1272 1299 1325 1392 1450 1500 1537 1590 1600 1696 1732 1740 1856 1920 2000 2120 2165 2175 2320 2400 2544 2598 2650 2784 2900 3000 3074 3180 3200 3392 3464 3480 3625 3712 3975 4000 4240 4330 4350 4611 4640 4800 5088 5196 5300 5568 5800 6000 6148 6360 6495 6625 6784 6928 6960 7250 7685 7950 8000 8480 8660 8700 9222 9280 9600 10176 10392 10600 10825 10875 11136 11600 12000 12296 12557 12720 12990 13250 13856 13920 14500 15370 15900 16000 16960 17320 17400 18444 18560 19875 20352 20784 21200 21650 21750 22949 23055 23200 24000 24592 25114 25440 25980 26500 27712 27840 29000 30740 31800 32475 33920 34640 34800 36888 37671 38425 39750 41568 42400 43300 43500 45898 46110 46400 48000 49184 50228 50880 51960 53000 54125 55424 55680 58000 61480 62785 63600 64950 68847 69280 69600 73776 75342 76850 79500 83136 84800 86600 87000 91796 92220 92800 98368 100456 101760 103920 106000 108250 114745 115275 116000 122960 125570 127200 129900 137694 138560 139200 147552 150684 153700 159000 162375 166272 169600 173200 174000 183592 184440 188355 192125 196736 200912 207840 212000 216500 229490 230550 232000 245920 251140 254400 259800 275388 277120 278400 295104 301368 307400 313925 318000 324750 344235 346400 348000 367184 368880 376710 384250 401824 415680 424000 433000 458980 461100 464000 491840 502280 508800 519600 550776 573725 576375 590208 602736 614800 627850 636000 649500 665521 688470 692800 696000 734368 737760 753420 768500 803648 831360 848000 866000 917960 922200 941775 983680 1004560 1039200 1101552 1147450 1152750 1205472 1229600 1255700 1272000 1299000 1331042 1376940 1385600 1392000 1468736 1475520 1506840 1537000 1569625 1607296 1721175 1732000 1835920 1844400 1883550 1996563 2009120 2078400 2203104 2294900 2305500 2410944 2459200 2511400 2544000 2598000 2662084 2753880 2868625 2937472 2951040 3013680 3074000 3139250 3327605 3442350 3464000 3671840 3688800 3767100 3993126 4018240 4156800 4406208 4589800 4611000 4708875 4821888 4918400 5022800 5196000 5324168 5507760 5737250 6027360 6148000 6278500 6655210 6884700 6928000 7343680 7377600 7534200 7986252 8036480 8605875 8812416 9179600 9222000 9417750 9982815 10045600 10392000 10648336 11015520 11474500 12054720 12296000 12557000 13310420 13769400 14687360 14755200 15068400 15972504 16638025 17211750 18359200 18444000 18835500 19965630 20091200 20784000 21296672 22031040 22949000 24109440 24592000 25114000 26620840 27538800 30136800 31945008 33276050 34423500 36718400 36888000 37671000 39931260 40182400 42593344 44062080 45898000 49914075 50228000 53241680 55077600 60273600 63890016 66552100 68847000 73436800 73776000 75342000 79862520 83190125 85186688 91796000 99828150 100456000 106483360 110155200 120547200 127780032 133104200 137694000 150684000 159725040 166380250 183592000 199656300 200912000 212966720 220310400 249570375 255560064 266208400 275388000 301368000 319450080 332760500 367184000 399312600 425933440 499140750 532416800 550776000 602736000 638900160 665521000 798625200 998281500 1064833600 1101552000 1277800320 1331042000 1597250400 1996563000 2129667200 2662084000 3194500800 3993126000 5324168000 6389001600 7986252000 10648336000 15972504000 31945008000
• Sum of all divisors σ(n): 111874089600
• Sum of proper divisors (its aliquot sum) s(n): 79929081600
• 31945008000 is an abundant number, because the sum of its proper divisors (79929081600) is greater than itself. Its abundance is 47984073600

Bases of 31945008000

• Binary: 11101110000000100100010001110000000₂
• Hexadecimal: 0x770122380
• Base-36: EOB8DXC

Squares and roots of 31945008000

• 31945008000 squared (31945008000²) is 1020483536120064000000
• 31945008000 cubed (31945008000³) is 32599354725223733440512000000000
• The square root of 31945008000 is 178731.6647939027
• The cube root of 31945008000 is 3172.9824286955

Scales and comparisons

• 31,945,008,000 seconds is equal to 1,015 years, 39 weeks, 21 hours, 20 minutes.
• To count from 1 to 31,945,008,000 would take you about two thousand and thirty-one 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 31945008000 cubic inches would be around 264.4 feet tall.

Recreational maths with 31945008000

• 31945008000 backwards is 00080054913
• 31945008000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 31945008000's digits is 30
• More coming soon!