32814153728000

Names of 32814153728000

• Cardinal: 32814153728000 can be written as Thirty-two trillion, eight hundred fourteen billion, one hundred fifty-three million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 3.2814153728 × 10¹³

Factors of 32814153728000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 114

Divisors of 32814153728000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 53 62 64 80 92 100 106 115 124 125 128 155 160 184 200 212 230 248 250 256 265 310 320 368 400 424 460 496 500 512 530 575 620 640 713 736 775 800 848 920 992 1000 1024 1060 1150 1219 1240 1280 1325 1426 1472 1550 1600 1643 1696 1840 1984 2000 2048 2120 2300 2438 2480 2560 2650 2809 2852 2875 2944 3100 3200 3286 3392 3565 3680 3875 3968 4000 4096 4240 4600 4876 4960 5120 5300 5618 5704 5750 5888 6095 6200 6400 6572 6625 6784 7130 7360 7750 7936 8000 8192 8215 8480 9200 9752 9920 10240 10600 11236 11408 11500 11776 12190 12400 12800 13144 13250 13568 14045 14260 14720 15500 15872 16000 16384 16430 16960 17825 18400 19504 19840 20480 21200 22472 22816 23000 23552 24380 24800 25600 26288 26500 27136 28090 28520 29440 30475 31000 31744 32000 32768 32860 33920 35650 36800 37789 39008 39680 40960 41075 42400 44944 45632 46000 47104 48760 49600 51200 52576 53000 54272 56180 57040 58880 60950 62000 63488 64000 64607 65536 65720 67840 70225 71300 73600 75578 78016 79360 81920 82150 84800 87079 89125 89888 91264 92000 94208 97520 99200 102400 105152 106000 108544 112360 114080 117760 121900 124000 126976 128000 129214 131072 131440 135680 140450 142600 147200 151156 152375 156032 158720 163840 164300 169600 174158 178250 179776 182528 184000 188416 188945 195040 198400 204800 205375 210304 212000 217088 224720 228160 235520 243800 248000 253952 256000 258428 262880 271360 280900 285200 294400 302312 304750 312064 317440 323035 327680 328600 339200 348316 351125 356500 359552 365056 368000 376832 377890 390080 396800 409600 410750 420608 424000 434176 435395 449440 456320 471040 487600 496000 507904 512000 516856 525760 542720 561800 570400 588800 604624 609500 624128 634880 646070 655360 657200 678400 696632 702250 713000 719104 730112 736000 753664 755780 780160 793600 819200 821500 841216 848000 868352 870790 898880 912640 942080 944725 975200 992000 1015808 1024000 1033712 1051520 1085440 1123600 1140800 1177600 1209248 1219000 1248256 1269760 1292140 1314400 1356800 1393264 1404500 1426000 1438208 1460224 1472000 1507328 1511560 1560320 1587200 1615175 1638400 1643000 1682432 1696000 1736704 1741580 1797760 1825280 1884160 1889450 1950400 1984000 2002817 2031616 2048000 2067424 2103040 2170880 2176975 2247200 2281600 2355200 2418496 2438000 2496512 2539520 2584280 2628800 2713600 2786528 2809000 2852000 2876416 2920448 2944000 3014656 3023120 3120640 3174400 3230350 3276800 3286000 3364864 3392000 3473408 3483160 3595520 3650560 3768320 3778900 3900800 3968000 4005634 4063232 4096000 4134848 4206080 4341760 4353950 4494400 4563200 4710400 4723625 4836992 4876000 4993024 5079040 5168560 5257600 5427200 5573056 5618000 5704000 5752832 5840896 5888000 6046240 6241280 6348800 6460700 6572000 6729728 6784000 6946816 6966320 7191040 7301120 7536640 7557800 7801600 7936000 8011268 8075875 8192000 8269696 8412160 8683520 8707900 8988800 9126400 9420800 9447250 9673984 9752000 9986048 10014085 10158080 10337120 10515200 10854400 10884875 11146112 11236000 11408000 11505664 11681792 11776000 12092480 12482560 12697600 12921400 13144000 13459456 13568000 13932640 14382080 14602240 15073280 15115600 15603200 15872000 16022536 16151750 16384000 16539392 16824320 17367040 17415800 17977600 18252800 18841600 18894500 19347968 19504000 19972096 20028170 20316160 20674240 21030400 21708800 21769750 22292224 22472000 22816000 23011328 23363584 23552000 24184960 24965120 25395200 25842800 26288000 26918912 27136000 27865280 28764160 29204480 30231200 31206400 31744000 32045072 32303500 33078784 33648640 34734080 34831600 35955200 36505600 37683200 37789000 38695936 39008000 39944192 40056340 41348480 42060800 43417600 43539500 44584448 44944000 45632000 46022656 46727168 47104000 48369920 49930240 50070425 50790400 51685600 52576000 53837824 54272000 55730560 57528320 58408960 60462400 62412800 63488000 64090144 64607000 66157568 67297280 69663200 71910400 73011200 75366400 75578000 77391872 78016000 79888384 80112680 82696960 84121600 86835200 87079000 89168896 89888000 91264000 92045312 93454336 94208000 96739840 99860480 100140850 101580800 103371200 105152000 107675648 108544000 111461120 115056640 116817920 120924800 124825600 126976000 128180288 129214000 132315136 134594560 139326400 143820800 146022400 151156000 154783744 156032000 159776768 160225360 165393920 168243200 173670400 174158000 178337792 179776000 182528000 184090624 188416000 193479680 199720960 200281700 206742400 210304000 215351296 217088000 222922240 230113280 233635840 241849600 249651200 250352125 253952000 256360576 258428000 264630272 269189120 278652800 287641600 292044800 302312000 309567488 312064000 320450720 330787840 336486400 348316000 356675584 359552000 365056000 368181248 376832000 386959360 399441920 400563400 413484800 420608000 434176000 445844480 460226560 467271680 483699200 499302400 500704250 507904000 512721152 516856000 529260544 538378240 557305600 575283200 584089600 604624000 619134976 624128000 640901440 661575680 672972800 696632000 713351168 719104000 730112000 773918720 798883840 801126800 826969600 841216000 868352000 891688960 920453120 967398400 998604800 1001408500 1025442304 1033712000 1058521088 1076756480 1114611200 1150566400 1168179200 1209248000 1238269952 1248256000 1281802880 1323151360 1345945600 1393264000 1426702336 1438208000 1460224000 1547837440 1602253600 1653939200 1682432000 1783377920 1840906240 1934796800 1997209600 2002817000 2050884608 2067424000 2117042176 2229222400 2301132800 2336358400 2418496000 2476539904 2496512000 2563605760 2646302720 2691891200 2786528000 2853404672 2876416000 2920448000 3095674880 3204507200 3307878400 3364864000 3566755840 3869593600 3994419200 4005634000 4101769216 4134848000 4234084352 4458444800 4602265600 4836992000 4953079808 4993024000 5127211520 5292605440 5383782400 5573056000 5706809344 5752832000 5840896000 6191349760 6409014400 6615756800 6729728000 7133511680 7739187200 8011268000 8203538432 8269696000 8468168704 8916889600 9204531200 9673984000 9986048000 10254423040 10585210880 11146112000 11413618688 11505664000 11681792000 12382699520 12818028800 13231513600 13459456000 14267023360 15478374400 16022536000 16407076864 16539392000 17833779200 19347968000 19972096000 20508846080 21170421760 22292224000 23011328000 24765399040 25636057600 26463027200 26918912000 28534046720 30956748800 32045072000 32814153728 33078784000 35667558400 38695936000 41017692160 42340843520 44584448000 46022656000 51272115200 52926054400 57068093440 61913497600 64090144000 65628307456 66157568000 71335116800 77391872000 82035384320 89168896000 102544230400 105852108800 123826995200 128180288000 131256614912 132315136000 142670233600 154783744000 164070768640 178337792000 205088460800 211704217600 256360576000 262513229824 264630272000 285340467200 309567488000 328141537280 356675584000 410176921600 512721152000 529260544000 619134976000 656283074560 713351168000 820353843200 1025442304000 1058521088000 1312566149120 1426702336000 1640707686400 2050884608000 3281415372800 4101769216000 6562830745600 8203538432000 16407076864000 32814153728000
• Sum of all divisors σ(n): 89917750121472
• Sum of proper divisors (its aliquot sum) s(n): 57103596393472
• 32814153728000 is an abundant number, because the sum of its proper divisors (57103596393472) is greater than itself. Its abundance is 24289442665472

Bases of 32814153728000

• Binary: 111011101100000100011111110100000000000000000₂
• Hexadecimal: 0x1DD823FA0000
• Base-36: BMQM3W5Q8

Squares and roots of 32814153728000

• 32814153728000 squared (32814153728000²) is 1076768684884816297984000000
• 32814153728000 cubed (32814153728000³) is 35333253155306751975086832484352000000000
• The square root of 32814153728000 is 5728363.9660901437
• The cube root of 32814153728000 is 32015.0169517463

Scales and comparisons

• 32,814,153,728,000 seconds is equal to 1,043,388 years, 30 weeks, 3 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 32,814,153,728,000 would take you about two million, six hundred eight thousand, four hundred seventy-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 32814153728000 cubic inches would be around 2667.9 feet tall.

Recreational maths with 32814153728000

• 32814153728000 backwards is 00082735141823
• The number of decimal digits it has is: 14
• The sum of 32814153728000's digits is 44
• More coming soon!