138392216934400
138,392,216,934,400 is an even composite number composed of seven prime numbers multiplied together.
138392216934400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138392216934400:
211 × 52 × 11 × 132 × 17 × 312 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 17 × 31 × 31 × 89)See below for interesting mathematical facts about the number 138392216934400 from the Numbermatics database.
Names of 138392216934400
- Cardinal: 138392216934400 can be written as One hundred thirty-eight trillion, three hundred ninety-two billion, two hundred sixteen million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.383922169344 × 1014
Factors of 138392216934400
Divisors of 138392216934400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 31 32 34 40 44 50 52 55 62 64 65 68 80 85 88 89 100 104 110 124 128 130 136 143 155 160 169 170 176 178 187 200 208 220 221 248 256 260 272 275 286 310 320 325 338 340 341 352 356 374 400 403 416 425 440 442 445 496 512 520 527 544 550 572 620 640 650 676 680 682 704 712 715 748 775 800 806 832 845 850 880 884 890 935 961 979 992 1024 1040 1054 1088 1100 1105 1144 1157 1240 1280 1300 1352 1360 1364 1408 1424 1430 1496 1513 1550 1600 1612 1664 1690 1700 1705 1760 1768 1780 1859 1870 1922 1958 1984 2015 2048 2080 2108 2176 2200 2210 2225 2288 2314 2431 2480 2560 2600 2635 2704 2720 2728 2759 2816 2848 2860 2873 2992 3026 3100 3200 3224 3328 3380 3400 3410 3520 3536 3560 3575 3718 3740 3844 3916 3968 4030 4160 4216 4225 4352 4400 4420 4433 4450 4576 4628 4675 4805 4862 4895 4960 5120 5200 5239 5270 5408 5440 5456 5518 5525 5632 5696 5720 5746 5785 5797 5984 6052 6200 6400 6448 6656 6760 6800 6820 6851 7040 7072 7120 7150 7436 7480 7565 7688 7832 7936 8060 8320 8432 8450 8525 8704 8800 8840 8866 8900 9152 9256 9295 9350 9610 9724 9790 9920 10075 10240 10400 10478 10540 10571 10816 10880 10912 11036 11050 11264 11392 11440 11492 11570 11594 11968 12104 12155 12400 12493 12727 12800 12896 13175 13312 13520 13600 13640 13702 13795 14080 14144 14240 14300 14365 14872 14960 15041 15130 15376 15664 15872 16120 16337 16640 16643 16864 16900 17050 17408 17600 17680 17732 17800 18304 18512 18590 18700 19220 19448 19580 19669 19840 20150 20800 20956 21080 21142 21632 21760 21824 22072 22100 22165 22528 22784 22880 22984 23140 23188 23936 24025 24208 24310 24475 24800 24986 25454 25600 25792 26195 26350 26624 27040 27200 27280 27404 27590 28160 28288 28480 28600 28730 28925 28985 29744 29920 30082 30260 30349 30752 31328 31603 31744 32240 32674 33280 33286 33728 33800 34100 34255 34816 35200 35360 35464 35600 35867 36608 37024 37180 37400 37825 38440 38896 39160 39338 39680 40300 41600 41912 42160 42284 43264 43520 43648 44144 44200 44330 45568 45760 45968 46280 46376 46475 46903 47872 48050 48416 48620 48950 49600 49972 50908 51200 51584 52390 52700 52855 54080 54400 54560 54808 55180 56320 56576 56960 57200 57460 57629 57850 57970 59488 59840 60164 60520 60698 60775 61504 62465 62656 63206 63488 63635 64480 65348 66560 66572 67456 67600 68200 68510 68975 70400 70720 70928 71200 71734 71825 73216 74048 74360 74800 75205 75361 75650 76880 77792 78320 78676 79360 80600 81685 83200 83215 83824 84320 84568 85529 86528 87040 87296 88288 88400 88660 89063 91136 91520 91936 92560 92752 92950 93806 95744 96100 96832 97240 97900 98345 99200 99944 101816 103168 104780 105400 105710 108160 108800 109120 109616 110360 110825 112640 113152 113920 114400 114920 115258 115700 115940 118976 119680 120328 121040 121396 121550 123008 124930 125312 126412 127270 128960 130696 130975 133120 133144 134912 135200 136400 137020 137423 137950 140800 141440 141856 142400 143468 143650 144925 146432 148096 148720 149600 150410 150722 151300 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36002137600 37003266560 37222220800 38711109632 38874218240 39138070400 39315970720 40584227840 40703593216 40944442880 41584199800 42925625600 43247567792 44642650624 45734374400 46254083200 48169932800 48388887040 48592772800 49144963400 50160281600 50730284800 50879491520 51180553600 52520765440 53227775744 54059459740 55803313280 56928102400 59806489600 60486108800 62198749184 62620912640 62905553152 63599364400 65650956800 66534719680 67574324675 68681000960 69754141600 70680396800 72004275200 74006533120 74444441600 77748436480 78276140800 78631941440 81168455680 81407186432 81888885760 83168399600 85851251200 86495135584 89285301248 91468748800 92508166400 96777774080 97185545600 98289926800 101460569600 101758983040 102361107200 106455551488 108118919480 111606626560 119612979200 120972217600 125241825280 125811106304 127198728800 131301913600 133069439360 135148649350 139508283200 141360793600 144008550400 148013066240 155496872960 156552281600 157263882880 162814372864 163777771520 166336799200 171702502400 172990271168 178570602496 185016332800 193555548160 194371091200 196579853600 202921139200 203517966080 204722214400 212911102976 216237838960 223213253120 241944435200 251622212608 254397457600 262603827200 266138878720 270297298700 279016566400 310993745920 313104563200 314527765760 325628745728 332673598400 343405004800 345980542336 370032665600 388742182400 393159707200 405842278400 407035932160 409444428800 425822205952 432475677920 446426506240 483888870400 503244425216 508794915200 532277757440 540594597400 558033132800 626209126400 629055531520 665347196800 691961084672 740065331200 777484364800 786319414400 814071864320 818888857600 864951355840 892853012480 967777740800 1017589830400 1064555514880 1081189194800 1116066265600 1258111063040 1330694393600 1383922169344 1554968729600 1572638828800 1628143728640 1729902711680 2035179660800 2129111029760 2162378389600 2232132531200 2516222126080 2661388787200 2767844338688 3145277657600 3459805423360 4070359321600 4324756779200 4464265062400 5322777574400 5535688677376 6290555315200 6919610846720 8140718643200 8649513558400 10645555148800 12581110630400 13839221693440 17299027116800 27678443386880 34598054233600 69196108467200 138392216934400
- Sum of all divisors σ(n): 448448110765200
- Sum of proper divisors (its aliquot sum) s(n): 310055893830800
- 138392216934400 is an abundant number, because the sum of its proper divisors (310055893830800) is greater than itself. Its abundance is 171663676896400
Bases of 138392216934400
- Binary: 111110111011101111100101110111000011000000000002
- Hexadecimal: 0x7DDDF2EE1800
- Base-36: 1D20I8S4XS
Squares and roots of 138392216934400
- 138392216934400 squared (1383922169344002) is 19152405708018030133903360000
- 138392216934400 cubed (1383922169344003) is 2650543885559672051757710077365059584000000
-
The
square root of 138392216934400 is 11764022.1410196267 -
The
cube root of 138392216934400 is 51725.4036922079
Scales and comparisons
How big is 138392216934400?- 138,392,216,934,400 seconds is equal to 4,400,444 years, 22 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,392,216,934,400 would take you about eleven million, one thousand, one hundred eleven 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 138392216934400 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138392216934400
- 138392216934400 backwards is 004439612293831
- 138392216934400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138392216934400's digits is 55
- More coming soon!
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"Number 138392216934400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138392216934400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138392216934400/
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The information we have on file for 138392216934400 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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