13398136012800
13,398,136,012,800 is an even composite number composed of six prime numbers multiplied together.
13398136012800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 13398136012800:
214 × 32 × 52 × 72 × 112 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 613)See below for interesting mathematical facts about the number 13398136012800 from the Numbermatics database.
Names of 13398136012800
- Cardinal: 13398136012800 can be written as Thirteen trillion, three hundred ninety-eight billion, one hundred thirty-six million, twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33981360128 × 1013
Factors of 13398136012800
Divisors of 13398136012800
- Number of divisors d(n): 2430
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 121 126 128 132 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 242 245 252 256 264 275 280 288 294 300 308 315 320 330 336 350 352 360 363 384 385 392 396 400 420 440 441 448 450 462 480 484 490 495 504 512 525 528 539 550 560 576 588 600 605 613 616 630 640 660 672 693 700 704 720 726 735 768 770 784 792 800 825 840 847 880 882 896 900 924 960 968 980 990 1008 1024 1050 1056 1078 1089 1100 1120 1152 1155 1176 1200 1210 1225 1226 1232 1260 1280 1320 1344 1386 1400 1408 1440 1452 1470 1536 1540 1568 1575 1584 1600 1617 1650 1680 1694 1760 1764 1792 1800 1815 1839 1848 1920 1925 1936 1960 1980 2016 2048 2100 2112 2156 2178 2200 2205 2240 2304 2310 2352 2400 2420 2450 2452 2464 2475 2520 2541 2560 2640 2688 2695 2772 2800 2816 2880 2904 2940 3025 3065 3072 3080 3136 3150 3168 3200 3234 3300 3360 3388 3465 3520 3528 3584 3600 3630 3675 3678 3696 3840 3850 3872 3920 3960 4032 4096 4200 4224 4235 4291 4312 4356 4400 4410 4480 4608 4620 4704 4800 4840 4851 4900 4904 4928 4950 5040 5082 5120 5280 5376 5390 5445 5517 5544 5600 5632 5760 5775 5808 5880 5929 6050 6130 6144 6160 6272 6300 6336 6400 6468 6600 6720 6743 6776 6930 7040 7056 7168 7200 7260 7350 7356 7392 7623 7680 7700 7744 7840 7920 8064 8085 8192 8400 8448 8470 8582 8624 8712 8800 8820 8960 9075 9195 9216 9240 9408 9600 9680 9702 9800 9808 9856 9900 10080 10164 10240 10560 10752 10780 10890 11025 11034 11088 11200 11264 11520 11550 11616 11760 11858 12100 12260 12288 12320 12544 12600 12672 12705 12800 12873 12936 13200 13440 13475 13486 13552 13860 14080 14112 14336 14400 14520 14700 14712 14784 15246 15325 15360 15400 15488 15680 15840 16128 16170 16384 16800 16896 16940 17164 17248 17325 17424 17600 17640 17787 17920 18150 18390 18432 18480 18816 19200 19360 19404 19600 19616 19712 19800 20160 20229 20328 20480 21120 21175 21455 21504 21560 21780 22050 22068 22176 22400 22528 23040 23100 23232 23520 23716 24200 24255 24520 24576 24640 25088 25200 25344 25410 25600 25746 25872 26400 26880 26950 26972 27104 27225 27585 27720 28160 28224 28672 28800 29040 29400 29424 29568 29645 30037 30492 30650 30720 30800 30976 31360 31680 32256 32340 33600 33715 33792 33880 34328 34496 34650 34848 35200 35280 35574 35840 36300 36780 36864 36960 37632 38115 38400 38619 38720 38808 39200 39232 39424 39600 40320 40425 40458 40656 40960 42240 42350 42910 43008 43120 43560 44100 44136 44352 44800 45056 45975 46080 46200 46464 47040 47201 47432 48400 48510 49040 49152 49280 50176 50400 50688 50820 51200 51492 51744 52800 53361 53760 53900 53944 54208 54450 55170 55440 56320 56448 57344 57600 58080 58800 58848 59136 59290 60074 60687 60984 61300 61440 61600 61952 62720 63360 63525 64365 64512 64680 67200 67430 67584 67760 68656 68992 69300 69696 70400 70560 71148 71680 72600 73560 73728 73920 74173 75264 76230 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830737600 845841920 854472960 865065600 870008832 872274480 874266624 878796800 906259200 910694400 911437824 922736640 930426112 934579800 949414400 951572160 966676480 988646400 993484800 994295808 996885120 1015010304 1035724800 1040793600 1046729376 1054556160 1057302400 1063344128 1068091200 1087511040 1090343100 1092833280 1107283968 1129881600 1139297280 1153420800 1160011776 1163032640 1189465200 1196262144 1208345600 1214259200 1215250432 1230315520 1242869760 1246106400 1268762880 1308411720 1318195200 1329180160 1353347072 1359388800 1366041600 1367156736 1380966400 1384104960 1395639168 1424121600 1450014720 1453790800 1457111040 1476378624 1495327680 1519063040 1522515456 1537894400 1553587200 1561190400 1581834240 1585953600 1595016192 1635514650 1657159680 1661475200 1691683840 1708945920 1730131200 1740017664 1744548960 1757593600 1812518400 1821388800 1822875648 1845473280 1860852224 1869159600 1898828800 1903144320 1933352960 1977292800 1986969600 1993770240 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21266882560 21750220800 21856665600 22145679360 22330226688 22785945600 23260652800 23925242880 24360247296 24857395200 25375257600 25520259072 26168234400 26583603200 27066941440 27343134720 27682099200 27912783360 29000294400 29773635584 29906553600 30381260800 30450309120 31900323840 33495340032 33833676800 34178918400 34800353280 34890979200 36909465600 37217044480 38062886400 38280388608 39875404800 40600412160 41869175040 42533765120 43500441600 44660453376 45571891200 46521305600 47850485760 48720494592 50750515200 52336468800 53167206400 54686269440 55364198400 55825566720 58000588800 59547271168 59813107200 60900618240 63800647680 66990680064 67667353600 68357836800 69781958400 74434088960 76125772800 76560777216 79750809600 81200824320 83738350080 87000883200 89320906752 91143782400 93042611200 95700971520 101501030400 104672937600 106334412800 110728396800 111651133440 119626214400 121801236480 127601295360 133981360128 135334707200 136715673600 139563916800 148868177920 152251545600 159501619200 167476700160 174001766400 178641813504 186085222400 191401943040 203002060800 209345875200 212668825600 223302266880 239252428800 243602472960 267962720256 273431347200 279127833600 297736355840 304503091200 319003238400 334953400320 372170444800 382803886080 406004121600 418691750400 446604533760 478504857600 535925440512 558255667200 609006182400 638006476800 669906800640 744340889600 837383500800 893209067520 957009715200 1116511334400 1218012364800 1339813601280 1488681779200 1674767001600 1914019430400 2233022668800 2679627202560 3349534003200 4466045337600 6699068006400 13398136012800
- Sum of all divisors σ(n): 61466232598134
- Sum of proper divisors (its aliquot sum) s(n): 48068096585334
- 13398136012800 is an abundant number, because the sum of its proper divisors (48068096585334) is greater than itself. Its abundance is 34669960572534
Bases of 13398136012800
- Binary: 110000101111011111110010001101000000000000002
- Hexadecimal: 0xC2F7F234000
- Base-36: 4QZ0O9340
Squares and roots of 13398136012800
- 13398136012800 squared (133981360128002) is 179510048617488281763840000
- 13398136012800 cubed (133981360128003) is 2405100047041448599782098208817152000000
-
The
square root of 13398136012800 is 3660346.4334404195 -
The
cube root of 13398136012800 is 23750.9759970029
Scales and comparisons
How big is 13398136012800?- 13,398,136,012,800 seconds is equal to 426,019 years, 14 weeks, 4 days, 16 hours.
-
To count from 1 to 13,398,136,012,800 would take you about one million, sixty-five thousand and 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 13398136012800 cubic inches would be around 1979.2 feet tall.
Recreational maths with 13398136012800
- 13398136012800 backwards is 00821063189331
- 13398136012800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13398136012800's digits is 45
- More coming soon!
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The information we have on file for 13398136012800 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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