138726922813440
138,726,922,813,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138726922813440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
138726922813440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138726922813440:
215 × 3 × 5 × 132 × 17 × 31 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 17 × 31 × 3169)See below for interesting mathematical facts about the number 138726922813440 from the Numbermatics database.
Names of 138726922813440
- Cardinal: 138726922813440 can be written as One hundred thirty-eight trillion, seven hundred twenty-six billion, nine hundred twenty-two million, eight hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3872692281344 × 1014
Factors of 138726922813440
Divisors of 138726922813440
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 31 32 34 39 40 48 51 52 60 62 64 65 68 78 80 85 93 96 102 104 120 124 128 130 136 155 156 160 169 170 186 192 195 204 208 221 240 248 255 256 260 272 310 312 320 338 340 372 384 390 403 408 416 442 465 480 496 507 510 512 520 527 544 620 624 640 663 676 680 744 768 780 806 816 832 845 884 930 960 992 1014 1020 1024 1040 1054 1088 1105 1209 1240 1248 1280 1326 1352 1360 1488 1536 1560 1581 1612 1632 1664 1690 1768 1860 1920 1984 2015 2028 2040 2048 2080 2108 2176 2210 2418 2480 2496 2535 2560 2635 2652 2704 2720 2873 2976 3072 3120 3162 3169 3224 3264 3315 3328 3380 3536 3720 3840 3968 4030 4056 4080 4096 4160 4216 4352 4420 4836 4960 4992 5070 5120 5239 5270 5304 5408 5440 5746 5952 6045 6144 6240 6324 6338 6448 6528 6630 6656 6760 6851 7072 7440 7680 7905 7936 8060 8112 8160 8192 8320 8432 8619 8704 8840 9507 9672 9920 9984 10140 10240 10478 10540 10608 10816 10880 11492 11904 12090 12288 12480 12648 12676 12896 13056 13260 13312 13520 13702 14144 14365 14880 15360 15717 15810 15845 15872 16120 16224 16320 16384 16640 16864 17238 17408 17680 19014 19344 19840 19968 20280 20480 20553 20956 21080 21216 21632 21760 22984 23808 24180 24576 24960 25296 25352 25792 26112 26195 26520 26624 27040 27404 28288 28730 29760 30720 31434 31620 31690 31744 32240 32448 32640 32768 33280 33728 34255 34476 34816 35360 38028 38688 39680 39936 40560 40960 41106 41197 41912 42160 42432 43095 43264 43520 45968 47535 47616 48360 49152 49920 50592 50704 51584 52224 52390 53040 53248 53873 54080 54808 56576 57460 59520 61440 62868 63240 63380 63488 64480 64896 65280 66560 67456 68510 68952 69632 70720 76056 77376 78585 79360 79872 81120 81920 82212 82394 83824 84320 84864 86190 86528 87040 89063 91936 95070 95232 96720 98239 98304 99840 101184 101408 102765 103168 104448 104780 106080 106496 107746 108160 109616 113152 114920 119040 122880 123591 125736 126480 126760 126976 128960 129792 130560 133120 134912 137020 137904 139264 141440 152112 154752 157170 158720 159744 161619 162240 163840 164424 164788 167648 168640 169728 172380 173056 174080 178126 183872 190140 190464 193440 196478 199680 202368 202816 205530 205985 206336 208896 209560 212160 212992 215492 216320 219232 226304 229840 238080 245760 247182 251472 252960 253520 253952 257920 259584 261120 266240 267189 269365 269824 274040 275808 278528 282880 294717 304224 309504 314340 317440 319488 323238 324480 328848 329576 335296 337280 339456 344760 346112 348160 356252 367744 380280 380928 386880 392956 399360 404736 405632 411060 411970 412672 417792 419120 424320 425984 430984 432640 438464 445315 452608 459680 476160 491195 491520 494364 502944 505920 507040 507904 515840 519168 522240 532480 534378 535561 538730 539648 548080 551616 557056 565760 589434 608448 617955 619008 628680 634880 638976 646476 648960 657696 659152 670592 674560 678912 689520 692224 696320 700349 712504 735488 760560 761856 773760 785912 798720 808095 809472 811264 822120 823940 825344 835584 838240 848640 861968 865280 876928 890630 905216 919360 952320 982390 988728 1005888 1011840 1014080 1015808 1031680 1038336 1044480 1064960 1068756 1071122 1077460 1079296 1096160 1103232 1131520 1178868 1216896 1235910 1238016 1257360 1269760 1277107 1277952 1292952 1297920 1315392 1318304 1335945 1341184 1349120 1357824 1379040 1384448 1392640 1400698 1425008 1470976 1473585 1521120 1523712 1547520 1571824 1597440 1606683 1616190 1618944 1622528 1644240 1647880 1650688 1670063 1671168 1676480 1697280 1723936 1730560 1753856 1781260 1810432 1838720 1904640 1964780 1977456 2011776 2023680 2028160 2063360 2076672 2088960 2101047 2129920 2137512 2142244 2154920 2158592 2192320 2206464 2263040 2357736 2433792 2471820 2476032 2514720 2539520 2554214 2585904 2595840 2630784 2636608 2671890 2677805 2682368 2698240 2715648 2758080 2768896 2785280 2801396 2850016 2941952 2947170 3042240 3047424 3095040 3143648 3194880 3213366 3232380 3237888 3245056 3288480 3295760 3301376 3340126 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26479656960 27095102112 27362312192 27789848320 27969137664 28686295040 31386181632 31876590720 32904867840 33347817984 33868877640 34001696768 34202890240 34423554048 34961422080 36126802816 37292183552 39232727040 41043468288 41684772480 41848242176 42502120960 43029442560 43776245760 43873157120 44463757312 45158503520 46615229440 48286433280 51002545152 51304335360 52310302720 52647788544 54190204224 54724624384 55579696640 55938275328 57372590080 62772363264 63753181440 65809735680 66695635968 67737755280 68003393536 68405780480 68847108096 69922844160 72253605632 74584367104 78465454080 82086936576 83369544960 85004241920 86058885120 87746314240 88927514624 90317007040 93230458880 102005090304 102608670720 104620605440 108380408448 111159393280 111876550656 114745180160 125544726528 127506362880 131619471360 133391271936 135475510560 136006787072 136811560960 139845688320 144507211264 149168734208 156930908160 164173873152 166739089920 170008483840 172117770240 177855029248 180634014080 186460917760 204010180608 205217341440 209241210880 216760816896 222318786560 223753101312 255012725760 263238942720 266782543872 270951021120 272013574144 273623121920 279691376640 289014422528 298337468416 313861816320 333478179840 340016967680 344235540480 355710058496 361268028160 372921835520 408020361216 410434682880 433521633792 444637573120 447506202624 510025451520 533565087744 541902042240 544027148288 559382753280 578028845056 627723632640 666956359680 680033935360 711420116992 722536056320 745843671040 816040722432 820869365760 867043267584 889275146240 895012405248 1020050903040 1067130175488 1083804084480 1118765506560 1156057690112 1333912719360 1360067870720 1445072112640 1491687342080 1632081444864 1734086535168 1778550292480 2040101806080 2134260350976 2167608168960 2237531013120 2312115380224 2667825438720 2720135741440 2890144225280 3468173070336 3557100584960 4080203612160 4335216337920 4475062026240 4624230760448 5335650877440 5780288450560 6936346140672 8160407224320 8670432675840 9248461520896 10671301754880 11560576901120 13872692281344 17340865351680 23121153802240 27745384562688 34681730703360 46242307604480 69363461406720 138726922813440
- Sum of all divisors σ(n): 525554042342400
- Sum of proper divisors (its aliquot sum) s(n): 386827119528960
- 138726922813440 is an abundant number, because the sum of its proper divisors (386827119528960) is greater than itself. Its abundance is 248100196715520
Bases of 138726922813440
- Binary: 111111000101011111000001111010010000000000000002
- Hexadecimal: 0x7E2BE0F48000
- Base-36: 1D6A9O0Q2O
Squares and roots of 138726922813440
- 138726922813440 squared (1387269228134402) is 19245159113286139525044633600
- 138726922813440 cubed (1387269228134403) is 2669821702841217670683461267198085955584000
-
The
square root of 138726922813440 is 11778239.3766402965 -
The
cube root of 138726922813440 is 51767.0699521531
Scales and comparisons
How big is 138726922813440?- 138,726,922,813,440 seconds is equal to 4,411,087 years, 1 week, 5 days, 17 hours, 4 minutes.
-
To count from 1 to 138,726,922,813,440 would take you about eleven million, twenty-seven thousand, seven hundred seventeen 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 138726922813440 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138726922813440
- 138726922813440 backwards is 044318229627831
- 138726922813440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138726922813440's digits is 60
- More coming soon!
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"Number 138726922813440 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138726922813440 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138726922813440/
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Numbermatics. 2024. "Number 138726922813440 - Facts about the integer". https://numbermatics.com/n/138726922813440/
The information we have on file for 138726922813440 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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