1013728768000
1,013,728,768,000 is an even composite number composed of five prime numbers multiplied together.
1013728768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 1013728768000:
212 × 53 × 13 × 173 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 1013728768000 from the Numbermatics database.
Names of 1013728768000
- Cardinal: 1013728768000 can be written as One trillion, thirteen billion, seven hundred twenty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.013728768 × 1012
Factors of 1013728768000
Divisors of 1013728768000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 62 64 65 68 80 85 100 104 124 125 128 130 136 155 160 170 200 208 221 248 250 256 260 272 289 310 320 325 340 400 403 416 425 442 496 500 512 520 527 544 578 620 640 650 680 775 800 806 832 850 884 992 1000 1024 1040 1054 1088 1105 1156 1240 1280 1300 1360 1445 1550 1600 1612 1625 1664 1700 1768 1984 2000 2015 2048 2080 2108 2125 2176 2210 2312 2480 2560 2600 2635 2720 2890 3100 3200 3224 3250 3328 3400 3536 3757 3875 3968 4000 4030 4096 4160 4216 4250 4352 4420 4624 4913 4960 5120 5200 5270 5440 5525 5780 6200 6400 6448 6500 6656 6800 6851 7072 7225 7514 7750 7936 8000 8060 8320 8432 8500 8704 8840 8959 9248 9826 9920 10075 10240 10400 10540 10880 11050 11560 12400 12800 12896 13000 13175 13312 13600 13702 14144 14450 15028 15500 15872 16000 16120 16640 16864 17000 17408 17680 17918 18496 18785 19652 19840 20150 20480 20800 21080 21760 22100 23120 24565 24800 25600 25792 26000 26350 26624 27200 27404 27625 28288 28900 30056 31000 31744 32000 32240 33280 33728 34000 34255 34816 35360 35836 36125 36992 37570 39304 39680 40300 41600 42160 43520 44200 44795 46240 49130 49600 50375 51200 51584 52000 52700 53248 54400 54808 55250 56576 57800 60112 62000 63488 63869 64000 64480 65875 66560 67456 68000 68510 69632 70720 71672 72250 73984 75140 78608 79360 80600 83200 84320 87040 88400 89590 92480 93925 98260 99200 100750 102400 103168 104000 105400 108800 109616 110500 113152 115600 116467 120224 122825 124000 126976 127738 128000 128960 131750 133120 134912 136000 137020 141440 143344 144500 147968 150280 152303 157216 158720 161200 166400 168640 171275 174080 176800 179180 184960 187850 196520 198400 201500 206336 208000 210800 217600 219232 221000 223975 226304 231200 232934 240448 245650 248000 255476 256000 257920 263500 266240 269824 272000 274040 282880 286688 289000 295936 300560 304606 314432 317440 319345 322400 332800 337280 342550 348160 353600 358360 369920 375700 393040 396800 403000 412672 416000 421600 435200 438464 442000 447950 452608 462400 465868 469625 480896 491300 496000 510952 512000 515840 527000 539648 544000 548080 565760 573376 578000 582335 591872 601120 609212 614125 628864 634880 638690 644800 665600 674560 685100 707200 716720 739840 751400 761515 786080 793600 806000 825344 832000 843200 856375 870400 876928 884000 895900 905216 924800 931736 939250 961792 982600 992000 1021904 1031680 1054000 1079296 1088000 1096160 1119875 1131520 1146752 1156000 1164670 1183744 1202240 1218424 1228250 1257728 1277380 1289600 1331200 1349120 1370200 1414400 1433440 1479680 1502800 1523030 1572160 1587200 1596725 1612000 1650688 1664000 1686400 1712750 1740800 1753856 1768000 1791800 1849600 1863472 1878500 1923584 1965200 1979939 1984000 2043808 2063360 2108000 2158592 2176000 2192320 2239750 2263040 2293504 2312000 2329340 2404480 2436848 2456500 2515456 2554760 2579200 2698240 2740400 2828800 2866880 2911675 2959360 3005600 3046060 3144320 3174400 3193450 3224000 3328000 3372800 3425500 3507712 3536000 3583600 3699200 3726944 3757000 3807575 3847168 3930400 3959878 3968000 4087616 4126720 4216000 4352000 4384640 4479500 4526080 4587008 4624000 4658680 4808960 4873696 4913000 5030912 5109520 5158400 5396480 5480800 5657600 5733760 5823350 5918720 6011200 6092120 6288640 6386900 6448000 6656000 6745600 6851000 7015424 7072000 7167200 7398400 7453888 7514000 7615150 7694336 7860800 7919756 7936000 7983625 8175232 8253440 8432000 8704000 8769280 8959000 9174016 9248000 9317360 9617920 9747392 9826000 9899695 10061824 10219040 10316800 10792960 10961600 11315200 11467520 11646700 12022400 12184240 12577280 12773800 12896000 13491200 13702000 14030848 14144000 14334400 14558375 14796800 14907776 15028000 15230300 15388672 15721600 15839512 15872000 15967250 16350464 16864000 17538560 17918000 18348032 18496000 18634720 19037875 19235840 19494784 19652000 19799390 20123648 20438080 20633600 21923200 22630400 22935040 23293400 24044800 24368480 25154560 25547600 25792000 26982400 27404000 28061696 28288000 28668800 29116750 29593600 29815552 30056000 30460600 31443200 31679024 31934500 32700928 33728000 35077120 35836000 36696064 36992000 37269440 38075750 38471680 38989568 39304000 39598780 40876160 41267200 43846400 45870080 46586800 48089600 48736960 49498475 50309120 51095200 51584000 53964800 54808000 56576000 57337600 58233500 59631104 60112000 60921200 62886400 63358048 63869000 65401856 67456000 70154240 71672000 73984000 74538880 76151500 76943360 77979136 78608000 79197560 81752320 87692800 91740160 93173600 96179200 97473920 98996950 100618240 102190400 103168000 109616000 113152000 114675200 116467000 119262208 120224000 121842400 125772800 126716096 127738000 130803712 134912000 140308480 143344000 147968000 149077760 152303000 155958272 157216000 158395120 163504640 175385600 183480320 186347200 192358400 194947840 197993900 204380800 206336000 219232000 229350400 232934000 238524416 240448000 243684800 247492375 251545600 253432192 255476000 261607424 269824000 286688000 298155520 304606000 311916544 314432000 316790240 327009280 350771200 372694400 384716800 389895680 395987800 408761600 438464000 458700800 465868000 477048832 480896000 487369600 494984750 503091200 506864384 510952000 573376000 596311040 609212000 623833088 628864000 633580480 654018560 701542400 745388800 779791360 791975600 817523200 876928000 917401600 931736000 961792000 974739200 989969500 1013728768 1021904000 1146752000 1192622080 1218424000 1257728000 1267160960 1308037120 1490777600 1559582720 1583951200 1635046400 1753856000 1863472000 1923584000 1949478400 1979939000 2027457536 2043808000 2293504000 2385244160 2436848000 2515456000 2534321920 2981555200 3119165440 3167902400 3270092800 3507712000 3726944000 3898956800 3959878000 4054915072 4087616000 4587008000 4873696000 5068643840 5963110400 6335804800 6540185600 7453888000 7797913600 7919756000 8109830144 8175232000 9747392000 10137287680 11926220800 12671609600 14907776000 15595827200 15839512000 16350464000 19494784000 20274575360 25343219200 29815552000 31679024000 32700928000 38989568000 40549150720 50686438400 59631104000 63358048000 77979136000 101372876800 126716096000 202745753600 253432192000 506864384000 1013728768000
- Sum of all divisors σ(n): 2988202613760
- Sum of proper divisors (its aliquot sum) s(n): 1974473845760
- 1013728768000 is an abundant number, because the sum of its proper divisors (1974473845760) is greater than itself. Its abundance is 960745077760
Bases of 1013728768000
- Binary: 11101100000001101111000101110000000000002
- Hexadecimal: 0xEC06F17000
- Base-36: CXP7XNGG
Squares and roots of 1013728768000
- 1013728768000 squared (10137287680002) is 1027646015070797824000000
- 1013728768000 cubed (10137287680003) is 1041754328797829310900600832000000000
-
The
square root of 1013728768000 is 1006840.9844657695 -
The
cube root of 1013728768000 is 10045.5547216117
Scales and comparisons
How big is 1013728768000?- 1,013,728,768,000 seconds is equal to 32,233 years, 22 weeks, 5 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 1,013,728,768,000 would take you about eighty thousand, five hundred eighty-three 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 1013728768000 cubic inches would be around 837.1 feet tall.
Recreational maths with 1013728768000
- 1013728768000 backwards is 0008678273101
- The number of decimal digits it has is: 13
- The sum of 1013728768000's digits is 43
- More coming soon!
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