138326348547200
138,326,348,547,200 is an even composite number composed of five prime numbers multiplied together.
138326348547200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138326348547200:
27 × 52 × 112 × 412 × 4612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 41 × 41 × 461 × 461)See below for interesting mathematical facts about the number 138326348547200 from the Numbermatics database.
Names of 138326348547200
- Cardinal: 138326348547200 can be written as One hundred thirty-eight trillion, three hundred twenty-six billion, three hundred forty-eight million, five hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.383263485472 × 1014
Factors of 138326348547200
Divisors of 138326348547200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 121 128 160 164 176 200 205 220 242 275 320 328 352 400 410 440 451 461 484 550 605 640 656 704 800 820 880 902 922 968 1025 1100 1210 1312 1408 1600 1640 1681 1760 1804 1844 1936 2050 2200 2255 2305 2420 2624 3025 3200 3280 3362 3520 3608 3688 3872 4100 4400 4510 4610 4840 4961 5071 5248 6050 6560 6724 7040 7216 7376 7744 8200 8405 8800 9020 9220 9680 9922 10142 11275 11525 12100 13120 13448 14432 14752 15488 16400 16810 17600 18040 18440 18491 18901 19360 19844 20284 22550 23050 24200 24805 25355 26240 26896 28864 29504 32800 33620 35200 36080 36880 36982 37802 38720 39688 40568 42025 45100 46100 48400 49610 50710 53792 55781 57728 59008 65600 67240 72160 73760 73964 75604 77440 79376 81136 84050 90200 92200 92455 94505 96800 99220 101420 107584 111562 124025 126775 131200 134480 144320 147520 147928 151208 158752 162272 168100 180400 184400 184910 189010 193600 198440 202840 203401 207911 212521 215168 223124 248050 253550 268960 278905 288640 295040 295856 302416 317504 324544 336200 360800 368800 369820 378020 387200 396880 405680 406802 415822 425042 446248 462275 472525 496100 507100 537920 557810 591712 604832 635008 649088 672400 721600 737600 739640 756040 774941 793760 811360 813604 831644 850084 892496 924550 945050 992200 1014200 1017005 1039555 1062605 1075840 1115620 1183424 1209664 1344800 1394525 1443200 1475200 1479280 1512080 1549882 1587520 1622720 1627208 1663288 1700168 1784992 1849100 1890100 1984400 2028400 2034010 2079110 2125210 2231240 2287021 2337731 2366848 2419328 2689600 2789050 2958560 3024160 3099764 3175040 3245440 3254416 3326576 3400336 3569984 3698200 3780200 3874705 3968800 4056800 4068020 4158220 4250420 4462480 4574042 4675462 5085025 5197775 5313025 5379200 5578100 5917120 6048320 6199528 6508832 6653152 6800672 7139968 7396400 7560400 7749410 7937600 8113600 8136040 8316440 8500840 8524351 8713361 8924960 9148084 9350924 10170050 10395550 10626050 11156200 11435105 11688655 11834240 12096640 12399056 13017664 13306304 13601344 14792800 15120800 15498820 15875200 16227200 16272080 16632880 17001680 17048702 17426722 17849920 18296168 18701848 19373525 20340100 20791100 21252100 22312400 22870210 23377310 24798112 25715041 26035328 26612608 27202688 29585600 30241600 30997640 32544160 33265760 34003360 34097404 34853444 35699840 36592336 37403696 38747050 40680200 41582200 42504200 42621755 43566805 44624800 45740420 46754620 49596224 51430082 57175525 58443275 59171200 60483200 61995280 65088320 66531520 68006720 68194808 69706888 73184672 74807392 77494100 81360400 83164400 85008400 85243510 87133610 89249600 91480840 93509240 93767861 95846971 99192448 102860164 114351050 116886550 123990560 128575205 130176640 133063040 136013440 136389616 139413776 146369344 149614784 154988200 162720800 166328800 170016800 170487020 174267220 178499200 182961680 187018480 187535722 191693942 205720328 213108775 217834025 228702100 233773100 247981120 257150410 272779232 278827552 292738688 299229568 309976400 325441600 332657600 340033600 340974040 348534440 357247801 365923360 374036960 375071444 383387884 411440656 426217550 435668050 457404200 467546200 468839305 479234855 495962240 514300820 545558464 557655104 619952800 642876025 650883200 665315200 680067200 681948080 697068880 714495602 731846720 748073920 750142888 766775768 822881312 852435100 871336100 914808400 935092400 937678610 958469710 1028601640 1054316681 1091116928 1115310208 1239905600 1285752050 1363896160 1394137760 1428991204 1463693440 1496147840 1500285776 1533551536 1645762624 1704870200 1742672200 1786239005 1829616800 1870184800 1875357220 1916939420 2057203280 2108633362 2344196525 2396174275 2479811200 2571504100 2727792320 2788275520 2857982408 3000571552 3067103072 3291525248 3409740400 3485344400 3572478010 3659233600 3740369600 3750714440 3833878840 3929725811 4114406560 4217266724 4688393050 4792348550 5143008200 5271583405 5455584640 5576551040 5715964816 6001143104 6134206144 6819480800 6970688800 7144956020 7318467200 7480739200 7501428880 7667757680 7859451622 8228813120 8434533448 8931195025 9376786100 9584697100 10286016400 10543166810 11431929632 12002286208 12268412288 13638961600 13941377600 14289912040 15002857760 15335515360 15718903244 16457626240 16869066896 17862390050 18753572200 19169394200 19648629055 20572032800 21086333620 22863859264 26357917025 27277923200 27882755200 28579824080 30005715520 30671030720 31437806488 33738133792 35724780100 37507144400 38338788400 39297258110 41144065600 42172667240 43226983921 45727718528 52715834050 57159648160 60011431040 61342061440 62875612976 67476267584 71449560200 75014288800 76677576800 78594516220 82288131200 84345334480 86453967842 98243145275 105431668100 114319296320 125751225952 134952535168 142899120400 150028577600 153355153600 157189032440 168690668960 172907935684 196486290550 210863336200 216134919605 228638592640 251502451904 285798240800 300057155200 306710307200 314378064880 337381337920 345815871368 392972581100 421726672400 432269839210 503004903808 571596481600 628756129760 674762675840 691631742736 785945162200 843453344800 864539678420 1080674598025 1143192963200 1257512259520 1383263485472 1571890324400 1686906689600 1729079356840 2161349196050 2515024519040 2766526970944 3143780648800 3373813379200 3458158713680 4322698392100 5533053941888 6287561297600 6916317427360 8645396784200 12575122595200 13832634854720 17290793568400 27665269709440 34581587136800 69163174273600 138326348547200
- Sum of all divisors σ(n): 385819108102785
- Sum of proper divisors (its aliquot sum) s(n): 247492759555585
- 138326348547200 is an abundant number, because the sum of its proper divisors (247492759555585) is greater than itself. Its abundance is 109166411008385
Bases of 138326348547200
- Binary: 111110111001110100111001101111001000100100000002
- Hexadecimal: 0x7DCE9CDE4480
- Base-36: 1D168WG03K
Squares and roots of 138326348547200
- 138326348547200 squared (1383263485472002) is 19134178702401459550627840000
- 138326348547200 cubed (1383263485472003) is 2646761072352795315462148880431874048000000
-
The
square root of 138326348547200 is 11761222.2386621025 -
The
cube root of 138326348547200 is 51717.1960784335
Scales and comparisons
How big is 138326348547200?- 138,326,348,547,200 seconds is equal to 4,398,350 years, 4 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,326,348,547,200 would take you about ten million, nine hundred ninety-five thousand, eight hundred seventy-five 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 138326348547200 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138326348547200
- 138326348547200 backwards is 002745843623831
- The number of decimal digits it has is: 15
- The sum of 138326348547200's digits is 56
- More coming soon!
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The information we have on file for 138326348547200 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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