148053965144064000

Names of 148053965144064000

• Cardinal: 148053965144064000 can be written as One hundred forty-eight quadrillion, fifty-three trillion, nine hundred sixty-five billion, one hundred forty-four million, sixty-four thousand.

Scientific notation

• Scientific notation: 1.48053965144064 × 10¹⁷

Factors of 148053965144064000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 42
• Sum of prime factors: 84

Divisors of 148053965144064000

• Number of divisors d(n): 2240
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 67 70 75 80 84 96 98 100 105 112 120 125 128 134 140 147 150 160 168 175 192 196 200 201 210 224 240 245 250 256 268 280 294 300 320 335 336 343 350 375 384 392 400 402 420 448 469 480 490 500 512 525 536 560 588 600 640 670 672 686 700 735 750 768 784 800 804 840 875 896 938 960 980 1000 1005 1024 1029 1050 1072 1120 1176 1200 1225 1280 1340 1344 1372 1400 1407 1470 1500 1536 1568 1600 1608 1675 1680 1715 1750 1792 1876 1920 1960 2000 2010 2048 2058 2100 2144 2240 2345 2352 2400 2450 2560 2625 2680 2688 2744 2800 2814 2940 3000 3072 3136 3200 3216 3283 3350 3360 3430 3500 3584 3675 3752 3840 3920 4000 4020 4096 4116 4200 4288 4480 4690 4704 4800 4900 5025 5120 5145 5250 5360 5376 5488 5600 5628 5880 6000 6125 6144 6272 6400 6432 6566 6700 6720 6860 7000 7035 7168 7350 7504 7680 7840 8000 8040 8192 8232 8375 8400 8575 8576 8960 9380 9408 9600 9800 9849 10050 10240 10290 10500 10720 10752 10976 11200 11256 11725 11760 12000 12250 12288 12544 12800 12864 13132 13400 13440 13720 14000 14070 14336 14700 15008 15360 15680 16000 16080 16384 16415 16464 16750 16800 17150 17152 17920 18375 18760 18816 19200 19600 19698 20100 20480 20580 21000 21440 21504 21952 22400 22512 22981 23450 23520 24000 24500 24576 25088 25125 25600 25725 25728 26264 26800 26880 27440 28000 28140 28672 29400 30016 30720 31360 32000 32160 32768 32830 32928 33500 33600 34300 34304 35175 35840 36750 37520 37632 38400 39200 39396 40200 40960 41160 42000 42875 42880 43008 43904 44800 45024 45962 46900 47040 48000 49000 49152 49245 50176 50250 51200 51450 51456 52528 53600 53760 54880 56000 56280 57344 58625 58800 60032 61440 62720 64000 64320 65536 65660 65856 67000 67200 68600 68608 68943 70350 71680 73500 75040 75264 76800 78400 78792 80400 81920 82075 82320 84000 85750 85760 86016 87808 89600 90048 91924 93800 94080 96000 98000 98304 98490 100352 100500 102400 102900 102912 105056 107200 107520 109760 112000 112560 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37768868659200 38555720089600 39460012032000 40286793236480 41309700096000 42301132898304 43164421324800 44063680102400 44195213475840 45097156608000 46036680704000 46266864107520 47211085824000 48194650112000 49351321714688 50358491545600 52613349376000 52876416122880 53955526656000 55079600128000 55244016844800 56401510531072 57833580134400 60430189854720 61689152143360 62948114432000 63136019251200 66095520153600 69055021056000 70501888163840 71940702208000 72291975168000 73658689126400 74026982572032 75537737318400 77111440179200 78920024064000 82619400192000 84602265796608 86328842649600 88127360204800 88390426951680 92073361408000 92533728215040 94422171648000 96389300224000 98702643429376 100716983091200 105226698752000 105752832245760 107911053312000 110159200256000 110488033689600 115667160268800 120860379709440 123378304286720 125896228864000 132191040307200 138110042112000 141003776327680 143881404416000 144583950336000 147317378252800 148053965144064 151075474636800 154222880358400 157840048128000 165238800384000 169204531593216 176254720409600 184146722816000 185067456430080 188844343296000 192778600448000 197405286858752 201433966182400 211505664491520 215822106624000 220318400512000 220976067379200 231334320537600 246756608573440 251792457728000 264382080614400 276220084224000 282007552655360 289167900672000 296107930288128 302150949273600 308445760716800 315680096256000 330477600768000 352509440819200 368293445632000 370134912860160 377688686592000 385557200896000 394810573717504 423011328983040 431644213248000 440636801024000 441952134758400 462668641075200 493513217146880 503584915456000 528764161228800 552440168448000 578335801344000 592215860576256 604301898547200 616891521433600 660955201536000 705018881638400 736586891264000 740269825720320 755377373184000 771114401792000 846022657966080 881273602048000 925337282150400 987026434293760 1007169830912000 1057528322457600 1104880336896000 1156671602688000 1184431721152512 1233783042867200 1321910403072000 1410037763276800 1480539651440640 1510754746368000 1542228803584000 1762547204096000 1850674564300800 1974052868587520 2115056644915200 2209760673792000 2313343205376000 2467566085734400 2643820806144000 2961079302881280 3021509492736000 3084457607168000 3525094408192000 3701349128601600 4230113289830400 4626686410752000 4935132171468800 5287641612288000 5922158605762560 6168915214336000 7050188816384000 7402698257203200 9253372821504000 9870264342937600 10575283224576000 12337830428672000 14805396514406400 18506745643008000 21150566449152000 24675660857344000 29610793028812800 37013491286016000 49351321714688000 74026982572032000 148053965144064000
• Sum of all divisors σ(n): 583180967355417600
• Sum of proper divisors (its aliquot sum) s(n): 435127002211353600
• 148053965144064000 is an abundant number, because the sum of its proper divisors (435127002211353600) is greater than itself. Its abundance is 287073037067289600

Bases of 148053965144064000

• Binary: 1000001101111111100100110000000000000000000000000000000000₂
• Hexadecimal: 0x20DFE4C00000000
• Base-36: 14HSR0MMOBUO

Squares and roots of 148053965144064000

• 148053965144064000 squared (148053965144064000²) is 21919976594879717848274436096000000
• 148053965144064000 cubed (148053965144064000³) is 3245339450737020433683050344245729001734144000000000
• The square root of 148053965144064000 is 384777812.6972292045
• The cube root of 148053965144064000 is 529021.5305695921

Scales and comparisons

• 148,053,965,144,064,000 seconds is equal to 4,707,658,130 years, 31 weeks, 18 hours, 40 minutes.
• To count from 1 to 148,053,965,144,064,000 would take you about fourteen billion, one hundred twenty-two million, nine hundred seventy-four thousand, three hundred ninety-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 148053965144064000 cubic inches would be around 44085.1 feet tall.

Recreational maths with 148053965144064000

• 148053965144064000 backwards is 000460441569350841
• 148053965144064000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 148053965144064000's digits is 60
• More coming soon!