138512331072
138,512,331,072 is an even composite number composed of seven prime numbers multiplied together.
138512331072 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138512331072:
26 × 33 × 19 × 23 × 31 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 23 × 31 × 61 × 97)See below for interesting mathematical facts about the number 138512331072 from the Numbermatics database.
Names of 138512331072
- Cardinal: 138512331072 can be written as One hundred thirty-eight billion, five hundred twelve million, three hundred thirty-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38512331072 × 1011
Factors of 138512331072
Divisors of 138512331072
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 31 32 36 38 46 48 54 57 61 62 64 69 72 76 92 93 96 97 108 114 122 124 138 144 152 171 183 184 186 192 194 207 216 228 244 248 276 279 288 291 304 342 366 368 372 388 414 432 437 456 488 496 513 549 552 558 576 582 589 608 621 684 713 732 736 744 776 828 837 864 873 874 912 976 992 1026 1098 1104 1116 1159 1164 1178 1216 1242 1311 1368 1403 1426 1464 1472 1488 1552 1647 1656 1674 1728 1746 1748 1767 1824 1843 1891 1952 1984 2052 2139 2196 2208 2231 2232 2318 2328 2356 2484 2619 2622 2736 2806 2852 2928 2976 3007 3104 3294 3312 3348 3477 3492 3496 3534 3648 3686 3782 3904 3933 4104 4209 4278 4392 4416 4462 4464 4636 4656 4712 4968 5238 5244 5301 5472 5529 5612 5673 5704 5856 5917 5952 6014 6208 6417 6588 6624 6693 6696 6954 6984 6992 7068 7372 7564 7866 8208 8418 8556 8784 8924 8928 9021 9272 9312 9424 9936 10431 10476 10488 10602 10944 11058 11224 11346 11408 11712 11799 11834 12028 12627 12834 13176 13248 13386 13392 13547 13908 13968 13984 14136 14744 15128 15732 15903 16416 16587 16836 17019 17112 17568 17751 17848 17856 18042 18544 18624 18848 19251 19872 20079 20862 20952 20976 21204 22116 22448 22692 22816 23598 23668 24056 25254 25668 26352 26657 26772 26784 27063 27094 27816 27936 27968 28272 29488 30256 31293 31464 31806 32832 33174 33672 34038 34224 35136 35502 35696 35929 36084 37088 37696 37881 38502 39744 40158 40641 41724 41904 41952 42389 42408 43493 44232 44896 45384 45632 47196 47336 48112 49761 50508 51057 51336 52704 53253 53314 53544 53568 54126 54188 55632 55872 56544 57133 58976 60237 60512 62586 62928 63612 66348 67344 68076 68448 69161 71004 71392 71858 72168 74176 75762 77004 79971 80316 81189 81282 83448 83808 83904 84778 84816 86986 88464 89792 90768 94392 94672 96224 99522 101016 102114 102672 105408 106506 106628 107088 107787 108252 108376 111264 112423 113088 114266 117952 120474 121024 121923 125172 125856 127167 127224 130479 132696 134688 136091 136152 136896 138322 142008 142784 143716 144336 151524 154008 159759 159942 160632 162378 162564 166896 167616 169556 169632 171399 173972 176928 181536 183427 188784 189344 192448 199044 202032 204228 205344 207483 213012 213256 214176 215574 216504 216752 222528 224846 228532 239913 240948 243846 250344 251712 254334 254448 260958 265392 269376 272182 272304 276644 284016 287432 288672 303048 308016 319518 319884 321264 323361 324756 325128 333792 337269 339112 339264 342798 347944 353856 363072 365769 366854 377568 378688 381501 391437 398088 404064 408273 408456 410688 414966 426024 426512 428352 431148 433008 433504 449692 457064 479826 481896 487692 500688 508668 508896 514197 521916 530784 544364 544608 550281 553288 568032 574864 577344 606096 616032 622449 639036 639768 642528 646722 649512 650256 667584 674538 678224 685596 695888 719739 731538 733708 755136 763002 782874 796176 808128 816546 816912 826367 829932 852048 853024 862296 866016 867008 899384 914128 959652 963792 970083 975384 1001376 1011807 1017336 1017792 1028394 1043832 1061568 1088728 1089216 1100562 1106576 1136064 1144503 1149728 1174311 1212192 1224819 1232064 1244898 1278072 1279536 1285056 1293444 1299024 1300512 1314059 1349076 1356448 1371192 1391776 1439478 1463076 1467416 1526004 1542591 1565748 1592352 1633092 1633824 1650843 1652734 1659864 1704096 1706048 1724592 1732032 1798768 1828256 1867347 1919304 1927584 1940166 1950768 2002752 2023614 2034672 2056788 2087664 2177456 2201124 2213152 2289006 2299456 2348622 2424384 2449638 2479101 2489796 2556144 2559072 2585729 2586888 2598048 2601024 2628118 2698152 2712896 2742384 2783552 2878956 2926152 2934832 3035421 3052008 3085182 3131496 3184704 3266184 3267648 3301686 3305468 3319728 3408192 3449184 3485113 3597536 3656512 3674457 3734694 3838608 3855168 3880332 3901536 3942177 4047228 4069344 4113576 4175328 4218821 4354912 4402248 4426304 4578012 4697244 4899276 4952529 4958202 4979592 5112288 5118144 5171458 5173776 5196096 5256236 5396304 5484768 5757912 5852304 5869664 6070842 6104016 6170364 6262992 6532368 6603372 6610936 6639456 6898368 6970226 7195072 7348914 7437303 7469388 7677216 7757187 7760664 7803072 7884354 8094456 8138688 8227152 8350656 8437642 8709824 8804496 9156024 9394488 9798552 9905058 9916404 9959184 10224576 10342916 10347552 10455339 10512472 10792608 10969536 11515824 11704608 11739328 11826531 12141684 12208032 12340728 12525984 12656463 13064736 13206744 13221872 13278912 13940452 14697828 14874606 14938776 15354432 15514374 15521328 15768708 16188912 16454304 16875284 17608992 18312048 18788976 19597104 19810116 19832808 19918368 20685832 20695104 20910678 21024944 21585216 22311909 23031648 23271561 23409216 23653062 24283368 24416064 24681456 25051968 25312926 26129472 26413488 26443744 27880904 29395656 29749212 29877552 31028748 31042656 31366017 31537416 32377824 32908608 33750568 35217984 35479593 36624096 37577952 37969389 39194208 39620232 39665616 39836736 41371664 41821356 42049888 44623818 46063296 46543122 47306124 48566736 49362912 50625852 52826976 52887488 55761808 58791312 59498424 59755104 62057496 62085312 62732034 63074832 64755648 67501136 69814683 70959186 73248192 75155904 75938778 78388416 79240464 79331232 80157599 82743328 83642712 84099776 89247636 93086244 94098051 94612248 97133472 98725824 101251704 105653952 111523616 113908167 117582624 118996848 119510208 124114992 125464068 126149664 135002272 139629366 141918372 151877556 158480928 158662464 160315198 165486656 167285424 178495272 186172488 188196102 189224496 194266944 202503408 223047232 227816334 235165248 237993696 240472797 248229984 250928136 252299328 270004544 279258732 283836744 303755112 316961856 320630396 334570848 356990544 372344976 376392204 378448992 405006816 455632668 475987392 480945594 496459968 501856272 558517464 567673488 607510224 641260792 669141696 713981088 721418391 744689952 752784408 756897984 810013632 911265336 961891188 1003712544 1117034928 1135346976 1215020448 1282521584 1427962176 1442836782 1489379904 1505568816 1822530672 1923782376 2007425088 2164255173 2234069856 2270693952 2430040896 2565043168 2885673564 3011137632 3645061344 3847564752 4328510346 4468139712 5130086336 5771347128 6022275264 7290122688 7695129504 8657020692 11542694256 15390259008 17314041384 23085388512 34628082768 46170777024 69256165536 138512331072
- Sum of all divisors σ(n): 474102988800
- Sum of proper divisors (its aliquot sum) s(n): 335590657728
- 138512331072 is an abundant number, because the sum of its proper divisors (335590657728) is greater than itself. Its abundance is 197078326656
Bases of 138512331072
- Binary: 100000001111111111101001110001010000002
- Hexadecimal: 0x203FFA7140
- Base-36: 1RMQNYO0
Squares and roots of 138512331072
- 138512331072 squared (1385123310722) is 19185665858999336669184
- 138512331072 cubed (1385123310723) is 2657451301298483391350403948085248
-
The
square root of 138512331072 is 372172.4480291361 -
The
cube root of 138512331072 is 5174.0363964301
Scales and comparisons
How big is 138512331072?- 138,512,331,072 seconds is equal to 4,404 years, 13 weeks, 4 days, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,512,331,072 would take you about eight thousand, eight hundred eight 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 138512331072 cubic inches would be around 431.2 feet tall.
Recreational maths with 138512331072
- 138512331072 backwards is 270133215831
- 138512331072 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138512331072's digits is 36
- More coming soon!
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The information we have on file for 138512331072 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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