968429948928000
968,429,948,928,000 is an even composite number composed of seven prime numbers multiplied together.
968429948928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 968429948928000:
215 × 3 × 53 × 13 × 17 × 19 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 19 × 137 × 137)See below for interesting mathematical facts about the number 968429948928000 from the Numbermatics database.
Names of 968429948928000
- Cardinal: 968429948928000 can be written as Nine hundred sixty-eight trillion, four hundred twenty-nine billion, nine hundred forty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.68429948928 × 1014
Factors of 968429948928000
Divisors of 968429948928000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 19 20 24 25 26 30 32 34 38 39 40 48 50 51 52 57 60 64 65 68 75 76 78 80 85 95 96 100 102 104 114 120 125 128 130 136 137 150 152 156 160 170 190 192 195 200 204 208 221 228 240 247 250 255 256 260 272 274 285 300 304 312 320 323 325 340 375 380 384 390 400 408 411 416 425 442 456 475 480 494 500 510 512 520 544 548 570 600 608 624 640 646 650 663 680 685 741 750 760 768 780 800 816 822 832 850 884 912 950 960 969 975 988 1000 1020 1024 1040 1088 1096 1105 1140 1200 1216 1235 1248 1275 1280 1292 1300 1326 1360 1370 1425 1482 1500 1520 1536 1560 1600 1615 1625 1632 1644 1664 1700 1768 1781 1824 1900 1920 1938 1950 1976 2000 2040 2048 2055 2080 2125 2176 2192 2210 2280 2329 2375 2400 2432 2470 2496 2550 2560 2584 2600 2603 2652 2720 2740 2850 2964 3000 3040 3072 3120 3200 3230 3250 3264 3288 3315 3328 3400 3425 3536 3562 3648 3705 3800 3840 3876 3900 3952 4000 4080 4096 4110 4160 4199 4250 4352 4384 4420 4560 4658 4750 4800 4845 4864 4875 4940 4992 5100 5120 5168 5200 5206 5304 5343 5440 5480 5525 5700 5928 6000 6080 6144 6175 6240 6375 6400 6460 6500 6528 6576 6630 6656 6800 6850 6987 7072 7124 7125 7296 7410 7600 7680 7752 7800 7809 7904 8000 8075 8160 8192 8220 8320 8398 8500 8704 8768 8840 8905 9120 9316 9500 9600 9690 9728 9750 9880 9984 10200 10240 10275 10336 10400 10412 10608 10686 10880 10960 11050 11400 11645 11856 12000 12160 12288 12350 12480 12597 12750 12800 12920 13000 13015 13056 13152 13260 13312 13600 13700 13974 14144 14248 14250 14592 14820 15200 15360 15504 15600 15618 15808 16000 16150 16320 16384 16440 16575 16640 16796 17000 17125 17408 17536 17680 17810 18240 18525 18632 18769 19000 19200 19380 19456 19500 19760 19968 20400 20480 20550 20672 20800 20824 20995 21216 21372 21760 21920 22100 22800 23290 23712 24000 24225 24320 24576 24700 24960 25194 25500 25600 25840 26000 26030 26112 26304 26520 26624 26715 27200 27400 27625 27948 28288 28496 28500 29184 29640 30277 30400 30720 30875 31008 31200 31236 31616 32000 32300 32640 32768 32880 33150 33280 33592 33839 34000 34250 34816 34935 35072 35360 35620 36480 37050 37264 37538 38000 38400 38760 38912 39000 39045 39520 39936 40375 40800 40960 41100 41344 41600 41648 41990 42432 42744 43520 43840 44200 44251 44525 45600 46580 47424 48000 48450 48640 49152 49400 49920 50388 51000 51200 51375 51680 52000 52060 52224 52608 53040 53248 53430 54400 54800 55250 55896 56307 56576 56992 57000 58225 58368 59280 60554 60800 61440 61750 62016 62400 62472 62985 63232 64000 64600 65075 65280 65760 66300 66560 67184 67678 68000 68500 69632 69870 70144 70720 71240 72960 74100 74528 75076 76000 76800 77520 77824 78000 78090 79040 79872 80750 81600 81920 82200 82688 82875 83200 83296 83980 84864 85488 87040 87680 88400 88502 89050 90831 91200 92625 93160 93845 94848 96000 96900 97280 98304 98800 99840 100776 101517 102000 102400 102750 103360 104000 104120 104448 104975 105216 106080 106496 106860 108800 109600 110500 111792 112614 113152 113984 114000 116450 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1210537436160 1241576857600 1260976496000 1274249932800 1291239931904 1306923008000 1413766348800 1424161689600 1460678656000 1489892229120 1499117568000 1513171795200 1551971072000 1592812416000 1614049914880 1698999910400 1767207936000 1780202112000 1862365286400 1891464744000 1898882252800 1936859897856 1960384512000 2017562393600 2038799892480 2123749888000 2191017984000 2278658703360 2327956608000 2356277248000 2373602816000 2421074872320 2483153715200 2521952992000 2548499865600 2582479863808 2848323379200 2979784458240 2998235136000 3026343590400 3103942144000 3185624832000 3228099829760 3397999820800 3534415872000 3560404224000 3724730572800 3782929488000 3797764505600 3873719795712 3920769024000 4035124787200 4247499776000 4382035968000 4655913216000 4747205632000 4842149744640 4966307430400 5043905984000 5096999731200 5696646758400 6052687180800 6207884288000 6371249664000 6456199659520 7068831744000 7120808448000 7449461145600 7565858976000 7747439591424 8070249574400 8494999552000 9311826432000 9494411264000 9684299489280 10087811968000 10193999462400 11393293516800 12105374361600 12415768576000 12742499328000 12912399319040 14241616896000 14898922291200 15131717952000 16140499148800 16989999104000 18623652864000 18988822528000 19368598978560 20175623936000 24210748723200 24831537152000 25484998656000 28483233792000 30263435904000 32280998297600 37247305728000 38737197957120 40351247872000 48421497446400 50969997312000 56966467584000 60526871808000 64561996595200 74494611456000 80702495744000 96842994892800 121053743616000 161404991488000 193685989785600 242107487232000 322809982976000 484214974464000 968429948928000
- Sum of all divisors σ(n): 3896826357715200
- Sum of proper divisors (its aliquot sum) s(n): 2928396408787200
- 968429948928000 is an abundant number, because the sum of its proper divisors (2928396408787200) is greater than itself. Its abundance is 1959966459859200
Bases of 968429948928000
- Binary: 110111000011001000001010110001100010000000000000002
- Hexadecimal: 0x370C82B188000
- Base-36: 9JA2KRGYYO
Squares and roots of 968429948928000
- 968429948928000 squared (9684299489280002) is 937856565980688688349184000000
- 968429948928000 cubed (9684299489280003) is 908248386294467808692267569750474752000000000
-
The
square root of 968429948928000 is 31119607.1461064559 -
The
cube root of 968429948928000 is 98936.3924615659
Scales and comparisons
How big is 968429948928000?- 968,429,948,928,000 seconds is equal to 30,793,076 years, 42 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 968,429,948,928,000 would take you about seventy-six million, nine hundred eighty-two thousand, six hundred ninety-two 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 968429948928000 cubic inches would be around 8244.7 feet tall.
Recreational maths with 968429948928000
- 968429948928000 backwards is 000829849924869
- 968429948928000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 968429948928000's digits is 78
- More coming soon!
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"Number 968429948928000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 968429948928000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/968429948928000/
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The information we have on file for 968429948928000 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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