138461937764864000
138,461,937,764,864,000 is an even composite number composed of five prime numbers multiplied together.
138461937764864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 138461937764864000:
212 × 53 × 73 × 1513 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 151 × 151 × 151 × 229)See below for interesting mathematical facts about the number 138461937764864000 from the Numbermatics database.
Names of 138461937764864000
- Cardinal: 138461937764864000 can be written as One hundred thirty-eight quadrillion, four hundred sixty-one trillion, nine hundred thirty-seven billion, seven hundred sixty-four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38461937764864 × 1017
Factors of 138461937764864000
Divisors of 138461937764864000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 151 160 175 196 200 224 229 245 250 256 280 302 320 343 350 392 400 448 458 490 500 512 560 604 640 686 700 755 784 800 875 896 916 980 1000 1024 1057 1120 1145 1208 1225 1280 1372 1400 1510 1568 1600 1603 1715 1750 1792 1832 1960 2000 2048 2114 2240 2290 2416 2450 2560 2744 2800 3020 3136 3200 3206 3430 3500 3584 3664 3775 3920 4000 4096 4228 4480 4580 4832 4900 5120 5285 5488 5600 5725 6040 6125 6272 6400 6412 6860 7000 7168 7328 7399 7550 7840 8000 8015 8456 8575 8960 9160 9664 9800 10240 10570 10976 11200 11221 11450 12080 12250 12544 12800 12824 13720 14000 14336 14656 14798 15100 15680 16000 16030 16912 17150 17920 18320 18875 19328 19600 20480 21140 21952 22400 22442 22801 22900 24160 24500 25088 25600 25648 26425 27440 28000 28625 28672 29312 29596 30200 31360 32000 32060 33824 34300 34579 35840 36640 36995 37750 38656 39200 40075 42280 42875 43904 44800 44884 45602 45800 48320 49000 50176 51200 51296 51793 52850 54880 56000 56105 57250 58624 59192 60400 62720 64000 64120 67648 68600 69158 71680 73280 73990 75500 77312 78400 78547 80150 84560 85750 87808 89600 89768 91204 91600 96640 98000 100352 102400 102592 103586 105700 109760 112000 112210 114005 114500 117248 118384 120800 125440 128000 128240 132125 135296 137200 138316 143360 146560 147980 151000 154624 156800 157094 159607 160300 169120 171500 172895 175616 179200 179536 182408 183200 184975 193280 196000 200375 200704 205184 207172 211400 219520 224000 224420 228010 229000 234496 236768 241600 242053 250880 256000 256480 258965 264250 270592 274400 276632 280525 293120 295960 302000 309248 313600 314188 319214 320600 338240 343000 345790 351232 358400 359072 364816 366400 369950 386560 392000 392735 400750 410368 414344 422800 439040 448000 448840 456020 458000 468992 473536 483200 484106 501760 512000 512960 517930 528500 541184 548800 553264 561050 570025 586240 591920 604000 618496 627200 628376 638428 641200 676480 686000 691580 702464 716800 718144 729632 732800 739900 773120 784000 785470 798035 801500 820736 828688 845600 864475 878080 896000 897680 912040 916000 924875 937984 947072 966400 968212 1003520 1025920 1035860 1057000 1082368 1097600 1106528 1117249 1122100 1140050 1172480 1183840 1208000 1210265 1254400 1256752 1276856 1282400 1294825 1352960 1372000 1383160 1402625 1404928 1436288 1459264 1465600 1479800 1546240 1568000 1570940 1596070 1603000 1641472 1657376 1691200 1694371 1728950 1756160 1792000 1795360 1824080 1832000 1849750 1894144 1932800 1936424 1963675 2051840 2071720 2114000 2164736 2195200 2213056 2234498 2244200 2280100 2344960 2367680 2416000 2420530 2508800 2513504 2553712 2564800 2589650 2705920 2744000 2766320 2805250 2850125 2872576 2918528 2931200 2959600 3092480 3136000 3141880 3192140 3206000 3282944 3314752 3382400 3388742 3442951 3457900 3512320 3584000 3590720 3648160 3664000 3699500 3788288 3865600 3872848 3927350 3990175 4103680 4143440 4228000 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1009197797120 1023400084000 1047961686016 1079709433600 1081733888788 1103810090600 1146208094080 1169600096000 1180932193000 1209274565632 1214525132800 1233953638400 1236267301472 1261497246400 1309952107520 1336685824000 1349636792000 1352167360985 1379762613250 1412876915968 1432760117600 1511593207040 1518156416000 1542442048000 1545334126840 1576871558000 1614716475392 1637440134400 1727535093760 1762790912000 1766096144960 1790950147000 1833932950528 1871360153600 1889491508800 1931667658550 2002110208000 2018395594240 2046800168000 2159418867200 2163467777576 2207620181200 2292416188160 2339200192000 2361864386000 2418549131264 2467907276800 2472534602944 2522994492800 2619904215040 2673371648000 2699273584000 2704334721970 2759525226500 2825753831936 2865520235200 3023186414080 3036312832000 3084884096000 3090668253680 3153743116000 3229432950784 3274880268800 3455070187520 3532192289920 3581900294000 3667865901056 3742720307200 3778983017600 3863335317100 4004220416000 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22076201812000 22606030655488 22924161881600 24185491312640 24725346029440 25229944928000 26199042150400 27043347219700 28257538319360 28655202352000 30231864140800 30906682536800 32748802688000 33804184024625 34615484441216 35321922899200 36678659010560 37789830176000 38633353171000 39560553647104 40367911884800 43188377344000 43269355551520 44152403624000 45848323763200 49450692058880 50459889856000 54086694439400 56515076638720 57310404704000 60463728281600 61813365073600 65497605376000 67608368049250 69230968882432 70643845798400 75579660352000 77266706342000 79121107294208 80735823769600 86376754688000 86538711103040 88304807248000 91696647526400 98901384117760 100919779712000 108173388878800 113030153277440 114620809408000 120927456563200 123626730147200 130995210752000 135216736098500 138461937764864 141287691596800 151159320704000 154533412684000 158242214588416 173077422206080 176609614496000 183393295052800 197802768235520 201839559424000 216346777757600 229241618816000 247253460294400 270433472197000 276923875529728 282575383193600 302318641408000 309066825368000 346154844412160 353219228992000 395605536471040 403679118848000 432693555515200 458483237632000 494506920588800 540866944394000 553847751059456 565150766387200 604637282816000 618133650736000 692309688824320 706438457984000 791211072942080 865387111030400 916966475264000 989013841177600 1081733888788000 1107695502118912 1236267301472000 1384619377648640 1412876915968000 1730774222060800 1978027682355200 2163467777576000 2472534602944000 2769238755297280 2825753831936000 3461548444121600 3956055364710400 4326935555152000 4945069205888000 5538477510594560 6923096888243200 8653871110304000 9890138411776000 13846193776486400 17307742220608000 19780276823552000 27692387552972800 34615484441216000 69230968882432000 138461937764864000
- Sum of all divisors σ(n): 407442080617728000
- Sum of proper divisors (its aliquot sum) s(n): 268980142852864000
- 138461937764864000 is an abundant number, because the sum of its proper divisors (268980142852864000) is greater than itself. Its abundance is 130518205088000000
Bases of 138461937764864000
- Binary: 1111010111110101001100110000101110110001100010000000000002
- Hexadecimal: 0x1EBEA6617631000
- Base-36: 11VCNS2ZWOOW
Squares and roots of 138461937764864000
- 138461937764864000 squared (1384619377648640002) is 19171708209601071548152938496000000
- 138461937764864000 cubed (1384619377648640003) is 2654551868963915791861158625004475901804544000000000
-
The
square root of 138461937764864000 is 372104740.3149602447 -
The
cube root of 138461937764864000 is 517340.8850781525
Scales and comparisons
How big is 138461937764864000?- 138,461,937,764,864,000 seconds is equal to 4,402,661,330 years, 1 week, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,461,937,764,864,000 would take you about thirteen billion, two hundred seven million, nine hundred eighty-three thousand, nine hundred ninety 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 138461937764864000 cubic inches would be around 43111.7 feet tall.
Recreational maths with 138461937764864000
- 138461937764864000 backwards is 000468467739164831
- The number of decimal digits it has is: 18
- The sum of 138461937764864000's digits is 77
- More coming soon!
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"Number 138461937764864000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138461937764864000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138461937764864000/
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The information we have on file for 138461937764864000 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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