131968242092359680

Names of 131968242092359680

• Cardinal: 131968242092359680 can be written as One hundred thirty-one quadrillion, nine hundred sixty-eight trillion, two hundred forty-two billion, ninety-two million, three hundred fifty-nine thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3196824209235968 × 10¹⁷

Factors of 131968242092359680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 624

Divisors of 131968242092359680

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 343 384 392 420 448 480 490 512 560 588 607 640 672 686 735 768 784 840 896 960 980 1024 1029 1120 1176 1214 1280 1344 1372 1470 1536 1568 1680 1715 1792 1821 1920 1960 2048 2058 2240 2352 2401 2428 2560 2688 2744 2940 3035 3072 3136 3360 3430 3584 3642 3840 3920 4096 4116 4249 4480 4704 4802 4856 5120 5145 5376 5488 5880 6070 6144 6272 6720 6860 7168 7203 7284 7680 7840 8192 8232 8498 8960 9105 9408 9604 9712 10240 10290 10752 10976 11760 12005 12140 12288 12544 12747 13440 13720 14336 14406 14568 15360 15680 16384 16464 16996 17920 18210 18816 19208 19424 20480 20580 21245 21504 21952 23520 24010 24280 24576 25088 25494 26880 27440 28672 28812 29136 29743 30720 31360 32928 33992 35840 36015 36420 37632 38416 38848 40960 41160 42490 43008 43904 47040 48020 48560 49152 50176 50988 53760 54880 57344 57624 58272 59486 61440 62720 63735 65856 67984 71680 72030 72840 75264 76832 77696 81920 82320 84980 86016 87808 89229 94080 96040 97120 100352 101976 107520 109760 114688 115248 116544 118972 122880 125440 127470 131712 135968 143360 144060 145680 148715 150528 153664 155392 164640 169960 172032 175616 178458 188160 192080 194240 200704 203952 208201 215040 219520 230496 233088 237944 245760 250880 254940 263424 271936 286720 288120 291360 297430 301056 307328 310784 329280 339920 344064 351232 356916 368449 376320 384160 388480 401408 407904 416402 430080 439040 446145 460992 466176 475888 501760 509880 526848 543872 573440 576240 582720 594860 602112 614656 621568 624603 658560 679840 702464 713832 736898 752640 768320 776960 802816 815808 832804 860160 878080 892290 921984 932352 951776 1003520 1019760 1041005 1053696 1087744 1105347 1152480 1165440 1189720 1204224 1229312 1243136 1249206 1317120 1359680 1404928 1427664 1457407 1473796 1505280 1536640 1553920 1631616 1665608 1720320 1756160 1784580 1842245 1843968 1864704 1903552 2007040 2039520 2082010 2107392 2175488 2210694 2304960 2330880 2379440 2408448 2458624 2486272 2498412 2579143 2634240 2719360 2809856 2855328 2914814 2947592 3010560 3073280 3107840 3123015 3263232 3331216 3512320 3569160 3684490 3687936 3729408 3807104 4014080 4079040 4164020 4214784 4350976 4372221 4421388 4609920 4661760 4758880 4917248 4972544 4996824 5158286 5268480 5438720 5526735 5619712 5710656 5829628 5895184 6021120 6146560 6215680 6246030 6526464 6662432 7024640 7138320 7287035 7368980 7375872 7458816 7614208 7737429 8158080 8328040 8429568 8701952 8744442 8842776 9219840 9323520 9517760 9834496 9945088 9993648 10316572 10536960 10877440 11053470 11421312 11659256 11790368 12042240 12293120 12431360 12492060 12895715 13052928 13324864 14049280 14276640 14574070 14737960 14751744 14917632 15228416 15474858 16316160 16656080 16859136 17403904 17488884 17685552 18054001 18439680 18647040 19035520 19668992 19987296 20633144 21073920 21754880 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16031127562240 16109404552290 16832683940352 17183364855776 18117551083520 18321288642560 18410748059760 19237353074688 19638131263744 21040854925440 21479206069720 21741061300224 22443578587136 24046691343360 24547664079680 25649804099584 25775047283664 27176326625280 27481932963840 28054473233920 29457196895616 31058659000320 32062255124480 32218809104580 33665367880704 34366729711552 36235102167040 36821496119520 38474706149376 39276262527488 42081709850880 42958412139440 43482122600448 44887157174272 48093382686720 49095328159360 51550094567328 54352653250560 54963865927680 56108946467840 58914393791232 64124510248960 64437618209160 67330735761408 68733459423104 72470204334080 73642992239040 76949412298752 78552525054976 84163419701760 85916824278880 89774314348544 96186765373440 98190656318720 103100189134656 108705306501120 112217892935680 117828787582464 128249020497920 128875236418320 134661471522816 137466918846208 147285984478080 157105050109952 168326839403520 171833648557760 179548628697088 192373530746880 196381312637440 206200378269312 217410613002240 224435785871360 235657575164928 257750472836640 269322943045632 274933837692416 294571968956160 314210100219904 336653678807040 343667297115520 384747061493760 392762625274880 412400756538624 448871571742720 471315150329856 515500945673280 538645886091264 549867675384832 589143937912320 628420200439808 673307357614080 687334594231040 785525250549760 824801513077248 897743143485440 942630300659712 1031001891346560 1099735350769664 1178287875824640 1256840400879616 1346614715228160 1374669188462080 1571050501099520 1649603026154496 1885260601319424 2062003782693120 2199470701539328 2356575751649280 2693229430456320 2749338376924160 3142101002199040 3299206052308992 3770521202638848 4124007565386240 4398941403078656 4713151503298560 5498676753848320 6284202004398080 6598412104617984 8248015130772480 8797882806157312 9426303006597120 10997353507696640 13196824209235968 16496030261544960 18852606013194240 21994707015393280 26393648418471936 32992060523089920 43989414030786560 65984121046179840 131968242092359680
• Sum of all divisors σ(n): 493450021019020800
• Sum of proper divisors (its aliquot sum) s(n): 361481778926661120
• 131968242092359680 is an abundant number, because the sum of its proper divisors (361481778926661120) is greater than itself. Its abundance is 229513536834301440

Bases of 131968242092359680

• Binary: 111010100110110000110101010111111100011000100000000000000₂
• Hexadecimal: 0x1D4D86ABF8C4000
• Base-36: 103EU5H2R3EO

Squares and roots of 131968242092359680

• 131968242092359680 squared (131968242092359680²) is 17415616920947653211095430489702400
• 131968242092359680 cubed (131968242092359680³) is 2298308350011415574115229403286971240671956959232000
• The square root of 131968242092359680 is 363274334.4806506971
• The cube root of 131968242092359680 is 509123.5003726629

Scales and comparisons

• 131,968,242,092,359,680 seconds is equal to 4,196,181,893 years, 50 weeks, 7 hours, 28 minutes.
• To count from 1 to 131,968,242,092,359,680 would take you about twelve billion, five hundred eighty-eight million, five hundred forty-five thousand, six hundred eighty-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 131968242092359680 cubic inches would be around 42427 feet tall.

Recreational maths with 131968242092359680

• 131968242092359680 backwards is 086953290242869131
• The number of decimal digits it has is: 18
• The sum of 131968242092359680's digits is 78
• More coming soon!