138281707564000
138,281,707,564,000 is an even composite number composed of eight prime numbers multiplied together.
138281707564000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138281707564000:
25 × 53 × 7 × 11 × 132 × 17 × 31 × 712
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 17 × 31 × 71 × 71)See below for interesting mathematical facts about the number 138281707564000 from the Numbermatics database.
Names of 138281707564000
- Cardinal: 138281707564000 can be written as One hundred thirty-eight trillion, two hundred eighty-one billion, seven hundred seven million, five hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38281707564 × 1014
Factors of 138281707564000
Divisors of 138281707564000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 31 32 34 35 40 44 50 52 55 56 62 65 68 70 71 77 80 85 88 91 100 104 110 112 119 124 125 130 136 140 142 143 154 155 160 169 170 175 176 182 187 200 208 217 220 221 224 238 248 250 260 272 275 280 284 286 308 310 325 338 340 341 350 352 355 364 374 385 400 403 416 425 434 440 442 455 476 496 497 500 520 527 544 550 560 568 572 595 616 620 650 676 680 682 700 710 715 728 748 770 775 781 800 806 845 850 868 875 880 884 910 923 935 952 992 994 1000 1001 1040 1054 1085 1100 1105 1120 1136 1144 1183 1190 1207 1232 1240 1300 1309 1352 1360 1364 1375 1400 1420 1430 1456 1496 1540 1547 1550 1562 1612 1625 1690 1700 1705 1736 1750 1760 1768 1775 1820 1846 1859 1870 1904 1925 1988 2000 2002 2015 2080 2108 2125 2170 2200 2201 2210 2272 2275 2288 2366 2380 2387 2414 2431 2464 2480 2485 2600 2618 2635 2704 2720 2728 2750 2800 2821 2840 2860 2873 2912 2975 2992 3080 3094 3100 3124 3224 3250 3380 3400 3410 3472 3500 3536 3550 3575 3640 3689 3692 3718 3740 3808 3850 3875 3905 3976 4000 4004 4030 4216 4225 4250 4340 4400 4402 4420 4433 4550 4576 4615 4675 4732 4760 4774 4828 4862 4960 4970 5005 5041 5200 5236 5239 5270 5408 5425 5456 5467 5500 5525 5600 5642 5680 5720 5746 5797 5915 5950 5984 6035 6160 6188 6200 6248 6448 6461 6500 6545 6760 6800 6820 6851 6944 7000 7072 7100 7150 7280 7378 7384 7436 7480 7700 7735 7750 7810 7952 8008 8060 8432 8449 8450 8500 8525 8680 8800 8804 8840 8866 8875 9100 9230 9295 9350 9464 9520 9548 9625 9656 9724 9940 10010 10075 10082 10153 10400 10472 10478 10540 10850 10912 10934 11000 11005 11050 11284 11360 11375 11440 11492 11594 11830 11900 11935 11999 12070 12155 12320 12376 12400 12425 12496 12896 12922 13000 13013 13090 13175 13277 13520 13600 13640 13702 14000 14105 14200 14300 14365 14560 14756 14768 14872 14875 14960 15400 15407 15470 15500 15620 15691 15904 16016 16120 16864 16898 16900 17000 17017 17050 17360 17608 17680 17732 17750 17875 18200 18445 18460 18590 18700 18928 19040 19096 19250 19312 19448 19525 19880 20020 20111 20150 20164 20306 20944 20956 21080 21125 21700 21868 22000 22010 22100 22165 22568 22750 22880 22984 23075 23188 23375 23660 23800 23870 23998 24140 24211 24310 24752 24800 24850 24992 25025 25205 25844 26000 26026 26180 26195 26350 26554 27040 27125 27280 27335 27404 27625 28000 28210 28400 28600 28613 28730 28985 29512 29536 29575 29744 29750 29920 30175 30800 30814 30940 31000 31031 31240 31382 31603 32032 32240 32305 32725 33796 33800 34000 34034 34100 34255 34720 35216 35287 35360 35464 35500 35750 36400 36673 36890 36920 37180 37400 37417 37856 38192 38500 38624 38675 38896 39050 39760 40040 40222 40300 40328 40579 40612 41888 41912 42160 42245 42250 42625 43400 43736 44000 44020 44200 44330 45136 45500 45968 46150 46376 46475 46750 47320 47600 47740 47957 47996 48280 48422 48620 49504 49700 50050 50375 50410 50765 51688 52000 52052 52360 52390 52700 53108 54250 54560 54670 54808 55025 55250 55451 56420 56800 57200 57226 57460 57629 57970 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51139684750 52478826400 52819598000 53185272140 55646562400 55758753050 56120822875 56882644000 57283226000 57931172000 58101557800 58445354000 60437809250 60783168160 60863427625 62570908400 62826764000 62855321620 63724289200 65073744736 65598533000 66481590175 68626157600 69071782000 69140853782 69558203000 71834653280 72626947250 73947437200 74384996000 74908834000 75978960200 77905187360 78213635500 78569152025 79018118608 79655361500 81103640800 81342180920 81823495600 85096435424 85782697000 88528622000 89214004880 89387012000 89793316600 92434296500 94973700250 96700494800 97381484200 98772648260 100568514592 101379551000 101677726150 102279369500 105639196000 106370544280 111517506100 112241645750 114566452000 116203115600 116890708000 120875618500 121726855250 123465810325 125141816800 125710643240 127448578400 131197066000 132963180350 138143564000 138281707564 139116406000 139396882625 145253894500 147894874400 149817668000 151957920400 156427271000 157138304050 158036237216 159310723000 162684361840 163646991200 171565394000 172852134455 177057244000 178428009760 179586633200 184868593000 189947400500 193400989600 194762968400 197545296520 202759102000 203355452300 204558739000 212741088560 223035012200 224483291500 232406231200 241751237000 243453710500 246931620650 251421286480 254194315375 262394132000 265926360700 276563415128 278232812000 278793765250 290507789000 303915840800 312854542000 314276608100 318621446000 325368723680 332407950875 343130788000 345704268910 359173266400 369737186000 379894801000 389525936800 392845760125 395090593040 405518204000 406710904600 409117478000 425482177120 446070024400 448966583000 483502474000 486907421000 493863241300 502842572960 508388630750 531852721400 553126830256 557587530500 581015578000 617329051625 625709084000 628553216200 637242892000 664815901750 691408537820 739474372000 759789602000 785691520250 790181186080 813421809200 818234956000 864260672275 892140048800 897933166000 967004948000 973814842000 987726482600 1016777261500 1063705442800 1106253660512 1115175061000 1162031156000 1234658103250 1257106432400 1329631803500 1382817075640 1519579204000 1571383040500 1626843618400 1728521344550 1795866332000 1947629684000 1975452965200 2033554523000 2127410885600 2230350122000 2469316206500 2514212864800 2659263607000 2765634151280 3142766081000 3457042689100 3950905930400 4067109046000 4321303361375 4460700244000 4938632413000 5318527214000 5531268302560 6285532162000 6914085378200 8134218092000 8642606722750 9877264826000 10637054428000 12571064324000 13828170756400 17285213445500 19754529652000 27656341512800 34570426891000 69140853782000 138281707564000
- Sum of all divisors σ(n): 508493899210752
- Sum of proper divisors (its aliquot sum) s(n): 370212191646752
- 138281707564000 is an abundant number, because the sum of its proper divisors (370212191646752) is greater than itself. Its abundance is 231930484082752
Bases of 138281707564000
- Binary: 111110111000100001110000000111011101011111000002
- Hexadecimal: 0x7DC4380EEBE0
- Base-36: 1D0LQMCT0G
Squares and roots of 138281707564000
- 138281707564000 squared (1382817075640002) is 19121830646815614814096000000
- 138281707564000 cubed (1382817075640003) is 2644199393591289815551689297022144000000000
-
The
square root of 138281707564000 is 11759324.2817774185 -
The
cube root of 138281707564000 is 51711.6320507867
Scales and comparisons
How big is 138281707564000?- 138,281,707,564,000 seconds is equal to 4,396,930 years, 29 weeks, 3 days, 10 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,281,707,564,000 would take you about ten million, nine hundred ninety-two thousand, three hundred twenty-six 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 138281707564000 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138281707564000
- 138281707564000 backwards is 000465707182831
- 138281707564000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138281707564000's digits is 52
- More coming soon!
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Cite this page
MLA style:
"Number 138281707564000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 138281707564000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138281707564000/
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The information we have on file for 138281707564000 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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