137142688972800
137,142,688,972,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137142688972800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
137142688972800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137142688972800:
215 × 3 × 52 × 72 × 17 × 31 × 2161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 31 × 2161)See below for interesting mathematical facts about the number 137142688972800 from the Numbermatics database.
Names of 137142688972800
- Cardinal: 137142688972800 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, six hundred eighty-eight million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.371426889728 × 1014
Factors of 137142688972800
Divisors of 137142688972800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 31 32 34 35 40 42 48 49 50 51 56 60 62 64 68 70 75 80 84 85 93 96 98 100 102 105 112 119 120 124 128 136 140 147 150 155 160 168 170 175 186 192 196 200 204 210 217 224 238 240 245 248 255 256 272 280 294 300 310 320 336 340 350 357 372 384 392 400 408 420 425 434 448 465 476 480 490 496 510 512 525 527 544 560 588 595 600 620 640 651 672 680 700 714 735 744 768 775 784 800 816 833 840 850 868 896 930 952 960 980 992 1020 1024 1050 1054 1085 1088 1120 1176 1190 1200 1225 1240 1275 1280 1302 1344 1360 1400 1428 1470 1488 1519 1536 1550 1568 1581 1600 1632 1666 1680 1700 1736 1785 1792 1860 1904 1920 1960 1984 2040 2048 2100 2108 2161 2170 2176 2240 2325 2352 2380 2400 2450 2480 2499 2550 2560 2604 2635 2688 2720 2800 2856 2940 2975 2976 3038 3072 3100 3136 3162 3200 3255 3264 3332 3360 3400 3472 3570 3584 3675 3689 3720 3808 3840 3920 3968 4080 4096 4165 4200 4216 4322 4340 4352 4480 4557 4650 4704 4760 4800 4900 4960 4998 5100 5120 5208 5270 5376 5425 5440 5600 5712 5880 5950 5952 6076 6144 6200 6272 6324 6400 6483 6510 6528 6664 6720 6800 6944 7140 7168 7350 7378 7440 7595 7616 7680 7840 7905 7936 8160 8192 8330 8400 8432 8644 8680 8704 8925 8960 9114 9300 9408 9520 9600 9800 9920 9996 10200 10240 10416 10540 10752 10805 10850 10880 11067 11200 11424 11760 11900 11904 12152 12288 12400 12495 12544 12648 12800 12966 13020 13056 13175 13328 13440 13600 13888 14280 14336 14700 14756 14880 15127 15190 15232 15360 15680 15810 15872 16275 16320 16384 16660 16800 16864 17288 17360 17408 17850 17920 18228 18445 18600 18816 19040 19200 19600 19840 19992 20400 20480 20825 20832 21080 21504 21610 21700 21760 22134 22400 22785 22848 23520 23800 23808 24304 24576 24800 24990 25088 25296 25600 25823 25932 26040 26112 26350 26656 26880 27200 27776 28560 28672 29400 29512 29760 30254 30380 30464 30720 31360 31620 31744 32415 32550 32640 32768 33320 33600 33728 34576 34720 34816 35700 35840 36456 36737 36890 37200 37632 37975 38080 38400 39200 39525 39680 39984 40800 40960 41650 41664 42160 43008 43220 43400 43520 44268 44800 45381 45570 45696 47040 47600 47616 48608 49152 49600 49980 50176 50592 51200 51646 51864 52080 52224 52700 53312 53760 54025 54400 55335 55552 57120 57344 58800 59024 59520 60508 60760 60928 61440 62475 62720 63240 63488 64830 65100 65280 66640 66991 67200 67456 69152 69440 69632 71400 71680 72912 73474 73780 74400 75264 75635 75950 76160 76800 77469 78400 79050 79360 79968 81600 81920 83300 83328 84320 86016 86440 86800 87040 88536 89600 90762 91140 91392 92225 94080 95200 95232 97216 98304 99200 99960 100352 101184 102400 103292 103728 104160 104448 105400 105889 106624 107520 108050 108800 110211 110670 111104 113925 114240 114688 117600 118048 119040 121016 121520 121856 122880 124950 125440 126480 126976 129115 129660 130200 130560 133280 133982 134400 134912 138304 138880 139264 142800 143360 145824 146948 147560 148800 150528 151270 151900 152320 153600 154938 156800 158100 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134453616640 138248678400 139941519360 142856967680 144057446400 147465256960 153061036800 157998489600 161344339968 163265105920 164637081600 168067020800 171428361216 174926899200 176958308352 178571209600 184331571200 186588692480 192076595200 195918127104 201680424960 204081382400 210664652800 214285451520 221197885440 228571148288 230491914240 233235865600 244897658880 252100531200 260232806400 261224169472 267856814400 268907233280 276497356800 279883038720 285713935360 288114892800 294930513920 306122073600 315996979200 322688679936 326530211840 336134041600 342856722432 349853798400 357142419200 368663142400 384153190400 391836254208 403360849920 408162764800 428570903040 442395770880 457142296576 466471731200 489795317760 504201062400 535713628800 537814466560 552994713600 559766077440 571427870720 576229785600 612244147200 631993958400 653060423680 672268083200 685713444864 699707596800 714284838400 737326284800 783672508416 806721699840 816325529600 857141806080 884791541760 914284593152 932943462400 979590635520 1008402124800 1071427257600 1105989427200 1142855741440 1152459571200 1224488294400 1306120847360 1344536166400 1371426889728 1399415193600 1428569676800 1474652569600 1613443399680 1632651059200 1714283612160 1828569186304 1959181271040 2016804249600 2142854515200 2211978854400 2285711482880 2448976588800 2689072332800 2742853779456 2798830387200 2857139353600 3265302118400 3428567224320 3918362542080 4033608499200 4285709030400 4423957708800 4571422965760 4897953177600 5485707558912 5714278707200 6530604236800 6857134448640 8067216998400 8571418060800 9142845931520 9795906355200 11428557414400 13714268897280 17142836121600 19591812710400 22857114828800 27428537794560 34285672243200 45714229657600 68571344486400 137142688972800
- Sum of all divisors σ(n): 576830236930560
- Sum of proper divisors (its aliquot sum) s(n): 439687547957760
- 137142688972800 is an abundant number, because the sum of its proper divisors (439687547957760) is greater than itself. Its abundance is 302544858984960
Bases of 137142688972800
- Binary: 111110010111011000001010100001010000000000000002
- Hexadecimal: 0x7CBB05428000
- Base-36: 1CM2HC3F9C
Squares and roots of 137142688972800
- 137142688972800 squared (1371426889728002) is 18808117138690158719139840000
- 137142688972800 cubed (1371426889728003) is 2579395758915373518407261107469156352000000
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The
square root of 137142688972800 is 11710793.6952539643 -
The
cube root of 137142688972800 is 51569.2584967921
Scales and comparisons
How big is 137142688972800?- 137,142,688,972,800 seconds is equal to 4,360,713 years, 15 weeks, 3 days, 21 hours, 20 minutes.
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To count from 1 to 137,142,688,972,800 would take you about ten million, nine hundred one thousand, seven 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 137142688972800 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142688972800
- 137142688972800 backwards is 008279886241731
- The number of decimal digits it has is: 15
- The sum of 137142688972800's digits is 66
- More coming soon!
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The information we have on file for 137142688972800 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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