31996765132800

Names of 31996765132800

• Cardinal: 31996765132800 can be written as Thirty-one trillion, nine hundred ninety-six billion, seven hundred sixty-five million, one hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 3.19967651328 × 10¹³

Factors of 31996765132800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1232640

Divisors of 31996765132800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 240 256 260 300 312 320 325 338 384 390 400 416 480 507 512 520 600 624 640 650 676 768 780 800 832 845 960 975 1014 1024 1040 1200 1248 1280 1300 1352 1536 1560 1600 1664 1690 1920 1950 2028 2048 2080 2400 2496 2535 2560 2600 2704 3072 3120 3200 3328 3380 3840 3900 4056 4160 4225 4800 4992 5070 5120 5200 5408 6144 6240 6400 6656 6760 7680 7800 8112 8320 8450 9600 9984 10140 10240 10400 10816 12480 12675 12800 13312 13520 15360 15600 16224 16640 16900 19200 19968 20280 20800 21632 24960 25350 25600 26624 27040 30720 31200 32448 33280 33800 38400 39936 40560 41600 43264 49920 50700 51200 54080 62400 64896 66560 67600 76800 79872 81120 83200 86528 99840 101400 108160 124800 129792 133120 135200 153600 162240 166400 173056 199680 202800 216320 249600 259584 270400 324480 332800 346112 399360 405600 432640 499200 519168 540800 648960 665600 811200 865280 998400 1038336 1081600 1232617 1297920 1622400 1730560 1996800 2163200 2465234 2595840 3244800 3697851 4326400 4930468 5191680 6163085 6489600 7395702 8652800 9860936 12326170 12979200 14791404 16024021 18489255 19721872 24652340 25958400 29582808 30815425 32048042 36978510 39443744 48072063 49304680 59165616 61630850 64096084 73957020 78887488 80120105 92446275 96144126 98609360 118331232 123261700 128192168 147914040 157774976 160240210 184892550 192288252 197218720 208312273 236662464 240360315 246523400 256384336 295828080 315549952 320480420 369785100 384576504 394437440 400600525 416624546 473324928 480720630 493046800 512768672 591656160 624936819 631099904 640960840 739570200 769153008 788874880 801201050 833249092 946649856 961441260 986093600 1025537344 1041561365 1183312320 1201801575 1249873638 1262199808 1281921680 1479140400 1538306016 1577749760 1602402100 1666498184 1893299712 1922882520 1972187200 2051074688 2083122730 2366624640 2403603150 2499747276 2524399616 2563843360 2958280800 3076612032 3124684095 3155499520 3204804200 3332996368 3786599424 3845765040 3944374400 4102149376 4166245460 4733249280 4807206300 4999494552 5127686720 5207806825 5916561600 6153224064 6249368190 6310999040 6409608400 6665992736 7573198848 7691530080 7888748800 8204298752 8332490920 9466498560 9614412600 9998989104 10255373440 10415613650 11833123200 12306448128 12498736380 12621998080 12819216800 13331985472 15383060160 15623420475 15777497600 16408597504 16664981840 18932997120 19228825200 19997978208 20510746880 20831227300 23666246400 24612896256 24997472760 25638433600 26663970944 30766120320 31246840950 31554995200 32817195008 33329963680 37865994240 38457650400 39995956416 41021493760 41662454600 47332492800 49225792512 49994945520 51276867200 53327941888 61532240640 62493681900 63109990400 66659927360 76915300800 79991912832 82042987520 83324909200 94664985600 98451585024 99989891040 102553734400 106655883776 123064481280 124987363800 133319854720 153830601600 159983825664 164085975040 166649818400 189329971200 199979782080 205107468800 213311767552 246128962560 249974727600 266639709440 307661203200 319967651328 333299636800 399959564160 410214937600 426623535104 492257925120 499949455200 533279418880 615322406400 639935302656 666599273600 799919128320 820429875200 999898910400 1066558837760 1230644812800 1279870605312 1333198547200 1599838256640 1999797820800 2133117675520 2461289625600 2666397094400 3199676513280 3999595641600 5332794188800 6399353026560 7999191283200 10665588377600 15998382566400 31996765132800
• Sum of all divisors σ(n): 114539474551320
• Sum of proper divisors (its aliquot sum) s(n): 82542709418520
• 31996765132800 is an abundant number, because the sum of its proper divisors (82542709418520) is greater than itself. Its abundance is 50545944285720

Bases of 31996765132800

• Binary: 111010001100111010011110100011101100000000000₂
• Hexadecimal: 0x1D19D3D1D800
• Base-36: BCB3ZTT6O

Squares and roots of 31996765132800

• 31996765132800 squared (31996765132800²) is 1023792978963565801635840000
• 31996765132800 cubed (31996765132800³) is 32758063492506866123340126514839552000000
• The square root of 31996765132800 is 5656568.3176993451
• The cube root of 31996765132800 is 31746.9512050643

Scales and comparisons

• 31,996,765,132,800 seconds is equal to 1,017,398 years, 8 weeks, 1 day, 18 hours, 40 minutes.
• To count from 1 to 31,996,765,132,800 would take you about two million, five hundred forty-three thousand, four hundred ninety-five 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 31996765132800 cubic inches would be around 2645.6 feet tall.

Recreational maths with 31996765132800

• 31996765132800 backwards is 00823156769913
• 31996765132800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31996765132800's digits is 60
• More coming soon!