138146460087168
138,146,460,087,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 138146460087168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
138146460087168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138146460087168:
27 × 310 × 132 × 372 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 37 × 37 × 79)See below for interesting mathematical facts about the number 138146460087168 from the Numbermatics database.
Names of 138146460087168
- Cardinal: 138146460087168 can be written as One hundred thirty-eight trillion, one hundred forty-six billion, four hundred sixty million, eighty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38146460087168 × 1014
Factors of 138146460087168
Divisors of 138146460087168
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 79 81 96 104 108 111 117 128 144 148 156 158 162 169 192 208 216 222 234 237 243 288 296 312 316 324 333 338 351 384 416 432 444 468 474 481 486 507 576 592 624 632 648 666 676 702 711 729 832 864 888 936 948 962 972 999 1014 1027 1053 1152 1184 1248 1264 1296 1332 1352 1369 1404 1422 1443 1458 1521 1664 1728 1776 1872 1896 1924 1944 1998 2028 2054 2106 2133 2187 2368 2496 2528 2592 2664 2704 2738 2808 2844 2886 2916 2923 2997 3042 3081 3159 3456 3552 3744 3792 3848 3888 3996 4056 4107 4108 4212 4266 4329 4374 4563 4736 4992 5056 5184 5328 5408 5476 5616 5688 5772 5832 5846 5994 6084 6162 6253 6318 6399 6561 7104 7488 7584 7696 7776 7992 8112 8214 8216 8424 8532 8658 8748 8769 8991 9126 9243 9477 10112 10368 10656 10816 10952 11232 11376 11544 11664 11692 11988 12168 12321 12324 12506 12636 12798 12987 13122 13351 13689 14208 14976 15168 15392 15552 15984 16224 16428 16432 16848 17064 17316 17496 17538 17797 17982 18252 18486 18759 18954 19197 19683 21312 21632 21904 22464 22752 23088 23328 23384 23976 24336 24642 24648 25012 25272 25596 25974 26244 26307 26702 26973 27378 27729 28431 30336 30784 31104 31968 32448 32856 32864 33696 34128 34632 34992 35076 35594 35964 36504 36963 36972 37518 37908 37999 38394 38961 39366 40053 41067 42624 43808 44928 45504 46176 46656 46768 47952 48672 49284 49296 50024 50544 51192 51948 52488 52614 53391 53404 53946 54756 55458 56277 56862 57591 59049 61568 63936 64896 65712 65728 67392 68256 69264 69984 70152 71188 71928 73008 73926 73944 75036 75816 75998 76788 77922 78732 78921 80106 80919 82134 83187 85293 87616 91008 92352 93312 93536 95904 97344 98568 98592 100048 101088 102384 103896 104976 105228 106782 106808 107892 108151 109512 110889 110916 112554 113724 113997 115182 116883 118098 120159 123201 127872 131424 131456 134784 136512 138528 139968 140304 142376 143856 146016 147852 147888 150072 151632 151996 153576 155844 157464 157842 160173 160212 161838 164268 166374 168831 170586 172773 175232 184704 187072 191808 194688 197136 197184 200096 202176 204768 207792 209952 210456 213564 213616 215784 216302 219024 221778 221832 225108 227448 227994 230364 231361 233766 236196 236763 240318 242757 246402 249561 255879 262848 273024 277056 279936 280608 284752 287712 292032 295704 295776 300144 303264 303992 307152 311688 314928 315684 320346 320424 323676 324453 328536 332667 332748 337662 341172 341991 345546 350649 360477 369603 374144 383616 394272 394368 400192 404352 409536 415584 419904 420912 427128 427232 431568 432604 438048 443556 443664 450216 454896 455988 460728 462722 467532 472392 473526 480519 480636 485514 492804 493987 499122 506493 511758 518319 525696 554112 561216 569504 575424 584064 591408 591552 600288 606528 607984 614304 623376 629856 631368 640692 640848 647352 648906 657072 665334 665496 675324 682344 683982 691092 694083 701298 710289 720954 728271 739206 748683 767637 788544 800384 819072 831168 839808 841824 854256 854464 863136 865208 876096 887112 887328 900432 909792 911976 921456 925444 935064 944784 947052 961038 961272 971028 973359 985608 987974 998001 998244 1012986 1023516 1025973 1036638 1051947 1081431 1108809 1122432 1139008 1150848 1182816 1183104 1200576 1213056 1215968 1228608 1246752 1259712 1262736 1281384 1281696 1294704 1297812 1314144 1330668 1330992 1350648 1364688 1367964 1382184 1388166 1402596 1405963 1420578 1441557 1441908 1456542 1478412 1481961 1497366 1519479 1535274 1554957 1577088 1662336 1683648 1708512 1708928 1726272 1730416 1752192 1774224 1774656 1800864 1819584 1823952 1842912 1850888 1870128 1889568 1894104 1922076 1922544 1942056 1946718 1971216 1975948 1996002 1996488 2025972 2047032 2051946 2073276 2082249 2103894 2130867 2162862 2184813 2217618 2246049 2278016 2365632 2401152 2431936 2457216 2493504 2519424 2525472 2562768 2563392 2589408 2595624 2628288 2661336 2661984 2701296 2729376 2735928 2764368 2776332 2805192 2811926 2841156 2883114 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8642796552 8882874234 8975211804 9107757126 9224523243 9723146121 10091786112 10347274368 10527850944 10637288064 10794378816 10932768288 11046414528 11209547232 11212276608 11353259376 11523728736 11815468704 11843832312 11966949072 12143676168 12299364324 12613811184 12772416798 12964194828 13324311351 13661635689 14577024384 14946062976 15137679168 15364971648 15753958272 15791776416 15955932096 16191568224 16399152432 16814320848 16818414912 17029889064 17285593104 17765748468 17950423608 18215514252 18449046486 19446292242 21055701888 21588757632 21865536576 22092829056 22419094464 22706518752 23047457472 23630937408 23687664624 23933898144 24287352336 24598728648 25227622368 25544833596 25928389656 26648622702 27323271378 27673569729 29169438363 30275358336 31583552832 31911864192 32383136448 32798304864 33628641696 33636829824 34059778128 34571186208 35531496936 35900847216 36431028504 36898092972 38892584484 39972934053 43731073152 44838188928 45413037504 46094914944 47261874816 47375329248 47867796288 48574704672 49197457296 50455244736 51089667192 51856779312 53297245404 54646542756 55347139458 58338876726 63167105664 64766272896 65596609728 67257283392 68119556256 69142372416 71062993872 71801694432 72862057008 73796185944 77785168968 79945868106 83020709187 90826075008 94750658496 95735592576 97149409344 98394914592 100910489472 102179334384 103713558624 106594490808 109293085512 110694278916 116677753452 119918802159 131193219456 134514566784 136239112512 138284744832 142125987744 143603388864 145724114016 147592371888 155570337936 159891736212 166041418374 189501316992 194298818688 196789829184 204358668768 207427117248 213188981616 218586171024 221388557832 233355506904 239837604318 272478225024 284251975488 287206777728 291448228032 295184743776 311140675872 319783472424 332082836748 359756406477 393579658368 408717337536 414854234496 426377963232 437172342048 442777115664 466711013808 479675208636 568503950976 582896456064 590369487552 622281351744 639566944848 664165673496 719512812954 817434675072 852755926464 874344684096 885554231328 933422027616 959350417272 1079269219431 1180738975104 1244562703488 1279133889696 1328331346992 1439025625908 1705511852928 1748689368192 1771108462656 1866844055232 1918700834544 2158538438862 2558267779392 2656662693984 2878051251816 3542216925312 3733688110464 3837401669088 4317076877724 5116535558784 5313325387968 5756102503632 7674803338176 8634153755448 10626650775936 11512205007264 15349606676352 17268307510896 23024410014528 34536615021792 46048820029056 69073230043584 138146460087168
- Sum of all divisors σ(n): 465239638105200
- Sum of proper divisors (its aliquot sum) s(n): 327093178018032
- 138146460087168 is an abundant number, because the sum of its proper divisors (327093178018032) is greater than itself. Its abundance is 188946717930864
Bases of 138146460087168
- Binary: 111110110100100101110101010111000110011100000002
- Hexadecimal: 0x7DA4BAAE3380
- Base-36: 1CYVLVI000
Squares and roots of 138146460087168
- 138146460087168 squared (1381464600871682) is 19084444434615501258158260224
- 138146460087168 cubed (1381464600871683) is 2636448441372385812416673783375546267205632
-
The
square root of 138146460087168 is 11753572.2266538185 -
The
cube root of 138146460087168 is 51694.7675663083
Scales and comparisons
How big is 138146460087168?- 138,146,460,087,168 seconds is equal to 4,392,630 years, 6 weeks, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,146,460,087,168 would take you about ten million, nine hundred eighty-one thousand, five 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 138146460087168 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138146460087168
- 138146460087168 backwards is 861780064641831
- The number of decimal digits it has is: 15
- The sum of 138146460087168's digits is 63
- More coming soon!
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"Number 138146460087168 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138146460087168 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138146460087168/
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The information we have on file for 138146460087168 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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