138957015303475200
138,957,015,303,475,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138957015303475200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 468 divisors.
138957015303475200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixty-eight divisors.
Prime factorization of 138957015303475200:
212 × 32 × 52 × 13 × 11598308569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 11598308569)See below for interesting mathematical facts about the number 138957015303475200 from the Numbermatics database.
Names of 138957015303475200
- Cardinal: 138957015303475200 can be written as One hundred thirty-eight quadrillion, nine hundred fifty-seven trillion, fifteen billion, three hundred three million, four hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.389570153034752 × 1017
Factors of 138957015303475200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 11598308592
Divisors of 138957015303475200
- Number of divisors d(n): 468
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 360 384 390 400 416 450 468 480 512 520 576 585 600 624 640 650 720 768 780 800 832 900 936 960 975 1024 1040 1152 1170 1200 1248 1280 1300 1440 1536 1560 1600 1664 1800 1872 1920 1950 2048 2080 2304 2340 2400 2496 2560 2600 2880 2925 3072 3120 3200 3328 3600 3744 3840 3900 4096 4160 4608 4680 4800 4992 5120 5200 5760 5850 6144 6240 6400 6656 7200 7488 7680 7800 8320 9216 9360 9600 9984 10240 10400 11520 11700 12288 12480 12800 13312 14400 14976 15360 15600 16640 18432 18720 19200 19968 20480 20800 23040 23400 24960 25600 26624 28800 29952 30720 31200 33280 36864 37440 38400 39936 41600 46080 46800 49920 51200 53248 57600 59904 61440 62400 66560 74880 76800 79872 83200 92160 93600 99840 102400 115200 119808 124800 133120 149760 153600 159744 166400 184320 187200 199680 230400 239616 249600 266240 299520 307200 332800 374400 399360 460800 479232 499200 599040 665600 748800 798720 921600 998400 1198080 1331200 1497600 1996800 2396160 2995200 3993600 5990400 11980800 11598308569 23196617138 34794925707 46393234276 57991542845 69589851414 92786468552 104384777121 115983085690 139179702828 150778011397 173974628535 185572937104 208769554242 231966171380 278359405656 289957714225 301556022794 347949257070 371145874208 417539108484 452334034191 463932342760 521923885605 556718811312 579915428450 603112045588 695898514140 742291748416 753890056985 835078216968 869873142675 904668068382 927864685520 1043847771210 1113437622624 1159830856900 1206224091176 1357002102573 1391797028280 1484583496832 1507780113970 1670156433936 1739746285350 1809336136764 1855729371040 2087695542420 2226875245248 2261670170955 2319661713800 2412448182352 2609619428025 2714004205146 2783594056560 2969166993664 3015560227940 3340312867872 3479492570700 3618672273528 3711458742080 3769450284925 4175391084840 4453750490496 4523340341910 4639323427600 4824896364704 5219238856050 5428008410292 5567188113120 5938333987328 6031120455880 6680625735744 6785010512865 6958985141400 7237344547056 7422917484160 7538900569850 8350782169680 8907500980992 9046680683820 9278646855200 9649792729408 10438477712100 10856016820584 11134376226240 11308350854775 11876667974656 12062240911760 13361251471488 13570021025730 13917970282800 14474689094112 14845834968320 15077801139700 16701564339360 17815001961984 18093361367640 18557293710400 19299585458816 20876955424200 21712033641168 22268752452480 22616701709550 23753335949312 24124481823520 26722502942976 27140042051460 27835940565600 28949378188224 29691669936640 30155602279400 33403128678720 33925052564325 35630003923968 36186722735280 37114587420800 38599170917632 41753910848400 43424067282336 44537504904960 45233403419100 47506671898624 48248963647040 53445005885952 54280084102920 55671881131200 57898756376448 59383339873280 60311204558800 66806257357440 67850105128650 71260007847936 72373445470560 74229174841600 77198341835264 83507821696800 86848134564672 89075009809920 90466806838200 96497927294080 106890011771904 108560168205840 111343762262400 115797512752896 118766679746560 120622409117600 133612514714880 135700210257300 142520015695872 144746890941120 148458349683200 154396683670528 167015643393600 173696269129344 178150019619840 180933613676400 192995854588160 213780023543808 217120336411680 222687524524800 231595025505792 237533359493120 241244818235200 267225029429760 271400420514600 289493781882240 296916699366400 308793367341056 334031286787200 347392538258688 356300039239680 361867227352800 385991709176320 427560047087616 434240672823360 445375049049600 463190051011584 482489636470400 534450058859520 542800841029200 578987563764480 593833398732800 617586734682112 668062573574400 694785076517376 712600078479360 723734454705600 771983418352640 868481345646720 890750098099200 926380102023168 964979272940800 1068900117719040 1085601682058400 1157975127528960 1187666797465600 1336125147148800 1389570153034752 1447468909411200 1543966836705280 1736962691293440 1781500196198400 1852760204046336 1929958545881600 2137800235438080 2171203364116800 2315950255057920 2672250294297600 2779140306069504 2894937818822400 3087933673410560 3473925382586880 3563000392396800 3859917091763200 4342406728233600 4631900510115840 5344500588595200 5558280612139008 5789875637644800 6947850765173760 7719834183526400 8684813456467200 9263801020231680 10689001177190400 11579751275289600 13895701530347520 15439668367052800 17369626912934400 23159502550579200 27791403060695040 34739253825868800 46319005101158400 69478507651737600 138957015303475200
- Sum of all divisors σ(n): 535999848093340540
- Sum of proper divisors (its aliquot sum) s(n): 397042832789865340
- 138957015303475200 is an abundant number, because the sum of its proper divisors (397042832789865340) is greater than itself. Its abundance is 258085817486390140
Bases of 138957015303475200
- Binary: 1111011011010110010101011010100000011011001010000000000002
- Hexadecimal: 0x1EDACAB50365000
- Base-36: 12085FKBVGG0
Squares and roots of 138957015303475200
- 138957015303475200 squared (1389570153034752002) is 19309052102050240929153197015040000
- 138957015303475200 cubed (1389570153034752003) is 2683128248440195308026072010939820800378667008000000
-
The
square root of 138957015303475200 is 372769386.2208580025 -
The
cube root of 138957015303475200 is 517956.7443289203
Scales and comparisons
How big is 138957015303475200?- 138,957,015,303,475,200 seconds is equal to 4,418,403,264 years, 19 weeks, 5 days, 16 hours.
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To count from 1 to 138,957,015,303,475,200 would take you about thirteen billion, two hundred fifty-five million, two hundred nine thousand, seven hundred ninety-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 138957015303475200 cubic inches would be around 43163.1 feet tall.
Recreational maths with 138957015303475200
- 138957015303475200 backwards is 002574303510759831
- The number of decimal digits it has is: 18
- The sum of 138957015303475200's digits is 63
- More coming soon!
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The information we have on file for 138957015303475200 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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