138311010294912
138,311,010,294,912 is an even composite number composed of six prime numbers multiplied together.
What does the number 138311010294912 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138311010294912 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138311010294912:
27 × 32 × 72 × 13 × 373 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 37 × 37 × 37 × 61 × 61)See below for interesting mathematical facts about the number 138311010294912 from the Numbermatics database.
Names of 138311010294912
- Cardinal: 138311010294912 can be written as One hundred thirty-eight trillion, three hundred eleven billion, ten million, two hundred ninety-four thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.38311010294912 × 1014
Factors of 138311010294912
Divisors of 138311010294912
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 42 48 49 52 56 61 63 64 72 74 78 84 91 96 98 104 111 112 117 122 126 128 144 147 148 156 168 182 183 192 196 208 222 224 234 244 252 259 273 288 294 296 312 333 336 364 366 384 392 416 427 441 444 448 468 481 488 504 518 546 549 576 588 592 624 637 666 672 728 732 777 784 793 819 832 854 882 888 896 936 962 976 1008 1036 1092 1098 1152 1176 1184 1248 1274 1281 1332 1344 1369 1443 1456 1464 1554 1568 1586 1638 1664 1708 1764 1776 1813 1872 1911 1924 1952 2016 2072 2184 2196 2257 2331 2352 2368 2379 2496 2548 2562 2664 2688 2738 2886 2912 2928 2989 3108 3136 3172 3276 3367 3416 3528 3552 3626 3721 3744 3822 3843 3848 3904 4032 4107 4144 4329 4368 4392 4514 4662 4704 4736 4758 4992 5096 5124 5328 5439 5476 5551 5733 5772 5824 5856 5978 6216 6272 6344 6552 6734 6771 6832 7056 7104 7137 7252 7442 7488 7644 7686 7696 7808 8064 8214 8288 8658 8736 8784 8967 9028 9324 9408 9516 9583 10101 10192 10248 10656 10878 10952 11102 11163 11466 11544 11648 11712 11956 12321 12432 12688 13104 13468 13542 13664 14112 14208 14274 14504 14884 14976 15288 15372 15392 15799 16317 16428 16576 16653 17316 17472 17568 17797 17934 18056 18648 18816 19032 19166 20202 20313 20384 20496 21312 21756 21904 22204 22326 22932 23088 23424 23569 23912 24642 24864 25376 26047 26208 26901 26936 27084 27328 28224 28548 28749 29008 29341 29768 30303 30576 30744 30784 31598 32634 32856 33152 33306 33489 34632 34944 35136 35594 35868 36112 37296 38064 38332 38857 40404 40626 40768 40992 42624 43512 43808 44408 44652 45864 46176 47138 47397 47824 48373 49284 49728 49959 50653 50752 52094 52416 53391 53802 53872 54168 54656 56448 57096 57498 58016 58682 59536 60606 61152 61488 61568 63196 65268 65712 66612 66978 67081 69264 70272 70707 71188 71736 72224 74592 76128 76664 77714 78141 80808 81252 81536 81984 83509 86247 87024 87616 88023 88816 89304 91728 92352 94276 94794 95648 96746 98568 99456 99918 101306 101504 104188 104832 106782 107604 107744 108336 110593 114192 114996 116032 116571 117364 119072 121212 122304 122976 124579 126392 130536 131424 133224 133956 134162 137677 138528 141414 142191 142376 143472 144448 145119 149184 151959 152256 153328 155428 156282 160173 161616 162504 163968 167018 172494 174048 175232 176046 177632 178608 182329 183456 184704 188552 189588 191296 193492 197136 199836 201243 202612 205387 208376 212121 213564 215208 215488 216672 221186 228384 229992 232064 233142 234423 234728 238144 242424 244608 245952 249158 250527 252784 261072 262848 264069 266448 267912 268324 275354 277056 282828 284382 284752 286944 288896 290238 298368 303918 304512 306656 310856 312564 320346 323232 325008 331779 334036 338611 344988 348096 349713 352092 354571 355264 357216 364658 366912 373737 377104 379176 382592 386984 394272 399672 402486 405224 410774 413031 416752 424242 427128 430416 430976 433344 435357 442372 455877 456768 459984 466284 468846 469456 476288 484848 491904 498316 501054 505568 522144 525696 528138 532896 535824 536648 546987 550708 554112 565656 568764 569504 573888 580476 584563 603729 607836 613312 616161 621712 625128 640692 646464 650016 658489 663558 668072 677222 689976 696192 699426 704184 709142 710528 714432 729316 733824 747474 751581 754208 758352 773968 788544 799344 804972 810448 821548 826062 833504 848484 854256 860832 866688 870714 872053 884744 911754 913536 919968 932568 937692 938912 963739 969696 995337 996632 1002108 1011136 1015833 1044288 1056276 1063713 1065792 1071648 1073296 1085617 1093974 1101416 1121211 1131312 1137528 1139008 1147776 1160952 1169126 1207458 1215672 1226624 1232322 1239093 1243424 1250256 1281384 1292928 1300032 1316978 1327116 1336144 1354444 1379952 1398852 1408368 1418284 1428864 1437709 1458632 1494948 1503162 1508416 1516704 1547936 1577088 1598688 1609944 1620896 1640961 1643096 1652124 1667008 1696968 1708512 1721664 1741428 1744106 1753689 1769488 1789801 1823508 1839936 1848483 1865136 1875384 1877824 1927478 1939392 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506633737344 534019344768 548853215456 566848402848 591072693568 617459867388 623022568896 664956780264 705668419872 720369845286 755797870464 759950606016 823279823184 886609040352 934533853344 940891226496 960493127048 1080554767929 1097706430912 1133696805696 1182145387136 1234919734776 1246045137792 1329913560528 1411336839744 1440739690572 1519901212032 1646559646368 1773218080704 1869067706688 1920986254096 2161109535858 2195412861824 2267393611392 2469839469552 2659827121056 2822673679488 2881479381144 3293119292736 3546436161408 3738135413376 3841972508192 4322219071716 4939678939104 5319654242112 5762958762288 6586238585472 7683945016384 8644438143432 9879357878208 10639308484224 11525917524576 15367890032768 17288876286864 19758715756416 23051835049152 34577752573728 46103670098304 69155505147456 138311010294912
- Sum of all divisors σ(n): 520987051002600
- Sum of proper divisors (its aliquot sum) s(n): 382676040707688
- 138311010294912 is an abundant number, because the sum of its proper divisors (382676040707688) is greater than itself. Its abundance is 244365030412776
Bases of 138311010294912
- Binary: 111110111001011000010101010001100011100100000002
- Hexadecimal: 0x7DCB0AA31C80
- Base-36: 1D0Z78G0W0
Squares and roots of 138311010294912
- 138311010294912 squared (1383110102949122) is 19129935568799253249213087744
- 138311010294912 cubed (1383110102949123) is 2645880715397196762610169245323191572758528
-
The
square root of 138311010294912 is 11760570.1517788669 -
The
cube root of 138311010294912 is 51715.2844620977
Scales and comparisons
How big is 138311010294912?- 138,311,010,294,912 seconds is equal to 4,397,862 years, 15 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,311,010,294,912 would take you about ten million, nine hundred ninety-four thousand, six hundred fifty-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 138311010294912 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138311010294912
- 138311010294912 backwards is 219492010113831
- The number of decimal digits it has is: 15
- The sum of 138311010294912's digits is 45
- More coming soon!
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"Number 138311010294912 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138311010294912 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138311010294912/
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The information we have on file for 138311010294912 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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