968473428832000
968,473,428,832,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 968473428832000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 4608 divisors.
968473428832000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 968473428832000:
28 × 53 × 7 × 13 × 19 × 23 × 37 × 67 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 19 × 23 × 37 × 67 × 307)See below for interesting mathematical facts about the number 968473428832000 from the Numbermatics database.
Names of 968473428832000
- Cardinal: 968473428832000 can be written as Nine hundred sixty-eight trillion, four hundred seventy-three billion, four hundred twenty-eight million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 9.68473428832 × 1014
Factors of 968473428832000
Divisors of 968473428832000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 23 25 26 28 32 35 37 38 40 46 50 52 56 64 65 67 70 74 76 80 91 92 95 100 104 112 115 125 128 130 133 134 140 148 152 160 161 175 182 184 185 190 200 208 224 230 247 250 256 259 260 266 268 280 296 299 304 307 320 322 325 335 350 364 368 370 380 400 416 437 448 455 460 469 475 481 494 500 518 520 532 536 560 575 592 598 608 614 640 644 650 665 670 700 703 728 736 740 760 800 805 832 851 871 874 875 896 910 920 925 938 950 962 988 1000 1036 1040 1064 1072 1120 1150 1184 1196 1216 1228 1235 1273 1280 1288 1295 1300 1330 1340 1400 1406 1456 1472 1480 1495 1520 1535 1541 1600 1610 1625 1664 1675 1702 1729 1742 1748 1750 1792 1820 1840 1850 1876 1900 1924 1976 2000 2072 2080 2093 2128 2144 2149 2185 2240 2275 2300 2345 2368 2375 2392 2405 2432 2456 2470 2479 2546 2576 2590 2600 2660 2680 2800 2812 2875 2912 2944 2960 2990 3040 3059 3070 3082 3200 3220 3250 3325 3328 3350 3367 3404 3458 3484 3496 3500 3515 3640 3680 3700 3752 3800 3848 3952 3991 4000 4025 4144 4160 4186 4255 4256 4288 4298 4355 4370 4480 4550 4600 4625 4690 4736 4750 4784 4810 4864 4912 4921 4940 4958 5092 5152 5180 5200 5320 5360 5600 5624 5681 5750 5824 5833 5888 5920 5957 5980 6080 6097 6118 6140 6164 6175 6365 6400 6440 6475 6500 6650 6700 6734 6808 6916 6968 6992 7000 7030 7061 7280 7360 7400 7475 7504 7600 7675 7696 7705 7904 7982 8000 8050 8288 8320 8372 8375 8510 8512 8576 8596 8645 8710 8740 8911 8960 9100 9139 9200 9250 9380 9472 9500 9568 9620 9824 9842 9880 9916 10184 10304 10360 10400 10465 10640 10720 10745 10787 10925 11063 11200 11248 11359 11362 11375 11500 11648 11666 11725 11840 11914 11960 12025 12160 12194 12236 12280 12328 12350 12395 12730 12880 12950 13000 13300 13400 13468 13616 13832 13936 13984 14000 14060 14122 14560 14720 14800 14950 15008 15200 15295 15350 15392 15410 15808 15964 16000 16100 16169 16549 16576 16625 16640 16744 16750 16835 17020 17024 17152 17192 17290 17353 17420 17480 17575 17822 18200 18278 18400 18500 18760 19000 19136 19240 19648 19684 19760 19832 19955 20033 20125 20368 20569 20608 20720 20800 20930 21275 21280 21440 21490 21574 21775 21850 22126 22400 22496 22718 22724 22750 23000 23296 23332 23450 23680 23828 23920 24050 24320 24388 24472 24560 24605 24656 24700 24790 25460 25760 25900 26000 26600 26800 26936 27232 27664 27872 27937 27968 28000 28120 28244 28405 29120 29165 29279 29440 29600 29785 29900 30016 30400 30485 30590 30700 30784 30820 30875 31616 31825 31928 32000 32200 32227 32338 32375 33098 33152 33250 33488 33500 33670 34040 34048 34384 34580 34706 34840 34960 35150 35305 35644 36400 36556 36800 37000 37375 37520 38000 38272 38375 38480 38525 39296 39368 39520 39664 39767 39910 40066 40250 40736 40831 41138 41216 41440 41600 41860 42550 42560 42880 42980 43148 43225 43550 43700 44252 44555 44800 44992 45436 45448 45500 45695 46000 46664 46900 47101 47360 47656 47840 48100 48776 48944 49120 49210 49312 49400 49427 49580 50920 51520 51800 52000 52325 53200 53600 53725 53872 53935 54464 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455109694000 462720224000 465612225400 467409956000 484236714416 490118132000 503364568000 509722857280 516243832000 523499150720 526344254800 532128257600 540442761625 553413387904 554046584000 555954896000 560135008000 569020816000 578193091840 582015281750 595983648512 601536291200 605295893020 628470752000 630927315200 637153571600 647808313600 654373938400 657930318500 665160322000 688814672000 691766734880 722741364800 728175510400 744979560640 747855929600 751920364000 756619866275 760780384000 784189011200 788659144000 796441964500 809760392000 817967423000 842150807680 864708418600 903426706000 910219388000 931224450800 934819912000 968473428832 980236264000 1006729136000 1019445714560 1032487664000 1046998301440 1052688509600 1064256515200 1080885523250 1106826775808 1108093168000 1111909792000 1138041632000 1164030563500 1203072582400 1210591786040 1274307143200 1308747876800 1315860637000 1330320644000 1377629344000 1383533469760 1445482729600 1456351020800 1489959121280 1503840728000 1513239732550 1577318288000 1592883929000 1619520784000 1635934846000 1684301615360 1729416837200 1806853412000 1820438776000 1862448901600 1869639824000 1936946857664 1960472528000 2013458272000 2038891429120 2064975328000 2105377019200 2128513030400 2161771046500 2216186336000 2328061127000 2421183572080 2548614286400 2617495753600 2631721274000 2660641288000 2767066939520 2890965459200 2979918242560 3007681456000 3026479465100 3154636576000 3185767858000 3239041568000 3271869692000 3458833674400 3613706824000 3640877552000 3724897803200 3739279648000 3783099331375 3873893715328 3920945056000 4210754038400 4323542093000 4656122254000 4842367144160 5097228572800 5234991507200 5263442548000 5321282576000 5534133879040 6015362912000 6052958930200 6371535716000 6543739384000 6917667348800 7227413648000 7281755104000 7449795606400 7566198662750 7747787430656 8421508076800 8647084186000 9312244508000 9684734288320 10194457145600 10526885096000 10642565152000 12105917860400 12743071432000 13087478768000 13835334697600 14454827296000 14899591212800 15132397325500 17294168372000 18624489016000 19369468576640 21053770192000 24211835720800 25486142864000 26174957536000 27670669395200 30264794651000 34588336744000 37248978032000 38738937153280 42107540384000 48423671441600 50972285728000 60529589302000 69176673488000 74497956064000 96847342883200 121059178604000 138353346976000 193694685766400 242118357208000 484236714416000 968473428832000
- Sum of all divisors σ(n): 3410735051243520
- Sum of proper divisors (its aliquot sum) s(n): 2442261622411520
- 968473428832000 is an abundant number, because the sum of its proper divisors (2442261622411520) is greater than itself. Its abundance is 1473788193579520
Bases of 968473428832000
- Binary: 110111000011010010010010101011001100101111000000002
- Hexadecimal: 0x370D24AB32F00
- Base-36: 9JAMJUA7LS
Squares and roots of 968473428832000
- 968473428832000 squared (9684734288320002) is 937940782353610968884224000000
- 968473428832000 cubed (9684734288320003) is 908370725527370254131910078511546368000000000
-
The
square root of 968473428832000 is 31120305.7316601567 -
The
cube root of 968473428832000 is 98937.8730988507
Scales and comparisons
How big is 968473428832000?- 968,473,428,832,000 seconds is equal to 30,794,459 years, 18 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 968,473,428,832,000 would take you about seventy-six million, nine hundred eighty-six thousand, one hundred forty-eight 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 968473428832000 cubic inches would be around 8244.8 feet tall.
Recreational maths with 968473428832000
- 968473428832000 backwards is 000238824374869
- 968473428832000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 968473428832000's digits is 64
- More coming soon!
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The information we have on file for 968473428832000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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