85142375136
85,142,375,136 is an even composite number composed of eight prime numbers multiplied together.
85142375136 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 85142375136:
25 × 32 × 7 × 13 × 17 × 41 × 59 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 41 × 59 × 79)See below for interesting mathematical facts about the number 85142375136 from the Numbermatics database.
Names of 85142375136
- Cardinal: 85142375136 can be written as Eighty-five billion, one hundred forty-two million, three hundred seventy-five thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 8.5142375136 × 1010
Factors of 85142375136
Divisors of 85142375136
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 41 42 48 51 52 56 59 63 68 72 78 79 82 84 91 96 102 104 112 117 118 119 123 126 136 144 153 156 158 164 168 177 182 204 208 221 224 234 236 237 238 246 252 272 273 287 288 306 312 316 328 336 354 357 364 369 408 413 416 442 468 472 474 476 492 504 531 533 544 546 553 574 612 624 632 656 663 672 697 708 711 714 728 738 767 816 819 826 861 884 936 944 948 952 984 1003 1008 1027 1062 1066 1071 1092 1106 1148 1224 1239 1248 1264 1312 1326 1343 1394 1416 1422 1428 1456 1476 1534 1547 1599 1632 1638 1652 1659 1722 1768 1872 1888 1896 1904 1968 1989 2006 2016 2054 2091 2124 2132 2142 2184 2212 2296 2301 2419 2448 2478 2528 2583 2652 2686 2788 2832 2844 2856 2912 2952 3009 3068 3081 3094 3198 3239 3276 3304 3318 3444 3536 3717 3731 3744 3792 3808 3936 3978 4012 4029 4108 4182 4248 4264 4284 4368 4424 4592 4602 4641 4661 4797 4838 4879 4896 4956 4977 5166 5304 5369 5372 5576 5664 5688 5712 5904 6018 6136 6162 6188 6273 6396 6478 6552 6608 6636 6888 6903 7021 7072 7189 7257 7434 7462 7584 7956 8024 8058 8216 8364 8496 8528 8568 8736 8848 9027 9061 9184 9204 9243 9282 9322 9401 9594 9676 9717 9758 9912 9954 10332 10608 10738 10744 11152 11193 11376 11424 11808 12036 12087 12272 12324 12376 12546 12792 12956 13039 13104 13216 13272 13776 13806 13923 13983 14042 14378 14514 14637 14868 14924 15912 16048 16107 16116 16432 16728 16933 16992 17056 17136 17459 17696 18054 18122 18408 18486 18564 18644 18802 19188 19352 19434 19516 19824 19908 20664 21063 21216 21476 21488 21567 21771 22304 22386 22673 22752 24072 24174 24544 24648 24752 25092 25584 25912 26078 26208 26544 27183 27552 27612 27846 27966 28084 28203 28756 29028 29151 29274 29736 29848 31447 31824 32096 32214 32232 32627 32864 33456 33579 33866 34272 34918 36108 36244 36816 36972 37128 37288 37604 38376 38704 38868 39032 39117 39648 39816 41123 41328 41949 42107 42126 42952 42976 43134 43542 43911 44772 45346 48144 48321 48348 49296 49504 50184 50799 51168 51824 52156 52377 53088 54366 55063 55224 55692 55932 56168 56406 57512 58056 58302 58548 59472 59696 60593 62894 63189 63427 63648 64428 64464 64701 65254 66912 67158 67732 68019 69836 72216 72488 73632 73944 74256 74576 75208 76752 77408 77736 78064 78234 79237 79632 81549 82246 82656 83898 84214 84252 84609 85904 86268 87084 87822 89544 90692 91273 94341 96288 96642 96696 97881 98592 100368 101598 103648 104312 104754 108732 110126 110448 111384 111864 112336 112812 115024 116112 116604 117096 117351 118944 119392 121186 122213 123369 125788 126321 126378 126854 128856 128928 129402 130508 134316 135464 136038 139672 144432 144976 147888 148512 149152 150416 152397 153504 155472 156128 156468 157131 158474 159264 163098 164492 165189 167796 168428 168504 169218 171808 172536 174168 175644 179088 181384 181779 182546 188682 190281 191101 193284 193392 195762 200736 203196 204057 208624 209508 217464 220129 220252 220896 222768 223728 224672 225624 230048 232224 233208 234192 234702 237711 242372 244426 246738 251576 252642 252756 253708 257712 258804 261016 268632 270928 272076 273819 279344 283023 287861 288864 289952 293643 294749 295776 300832 304794 310944 312936 314262 316948 326196 328984 330378 335592 336856 337008 338436 345072 348336 351288 358176 362768 363558 365092 366639 370107 377364 378963 380562 382202 385441 386568 386784 391524 406392 408114 417248 419016 424151 434928 440258 440504 445536 447456 451248 466416 468384 469404 475422 484744 488852 493476 495567 503152 505284 505512 507416 515424 517608 522032 534599 537264 541856 544152 545337 547638 554659 558688 566046 570843 573303 575722 587286 589498 609588 625872 628524 633896 652392 657968 660387 660756 671184 673712 674016 676872 690144 696672 702576 713133 715819 725536 727116 730184 733278 740214 754728 757926 761124 764404 770882 773136 783048 812784 816228 821457 838032 848302 863583 869856 880516 881008 884247 902496 932832 938808 950844 969488 977704 986952 991134 1006304 1010568 1011024 1014832 1030081 1035216 1044064 1069198 1074528 1088304 1090674 1095276 1099917 1109318 1132092 1141686 1146606 1151444 1156323 1174572 1178996 1219176 1251744 1257048 1267792 1272453 1304784 1315936 1320774 1321512 1337707 1342368 1347424 1353744 1405152 1426266 1431638 1454232 1460368 1466556 1480428 1509456 1515852 1522248 1528808 1541764 1546272 1566096 1603797 1625568 1632456 1642914 1663977 1676064 1696604 1719909 1727166 1761032 1762016 1768494 1877616 1901688 1938976 1955408 1973904 1981161 1982268 2021136 2022048 2029664 2060162 2070432 2138396 2147457 2176608 2181348 2190552 2199834 2218636 2264184 2283372 2293212 2302888 2312646 2349144 2357992 2438352 2484313 2514096 2535584 2544906 2590749 2609568 2641548 2643024 2652741 2675414 2707488 2852532 2863276 2908464 2920736 2933112 2960856 3018912 3031704 3044496 3057616 3083528 3090243 3132192 3207594 3248717 3264912 3285828 3327954 3393208 3439818 3454332 3468969 3522064 3536988 3742193 3755232 3803376 3817359 3910816 3947808 3962322 3964536 4013121 4042272 4120324 4276792 4294914 4362696 4381104 4399668 4437272 4528368 4566744 4586424 4605776 4625292 4698288 4715984 4811391 4876704 4968626 4991931 5010733 5028192 5089812 5181498 5283096 5286048 5305482 5350828 5705064 5726552 5816928 5866224 5921712 6063408 6088992 6115232 6167056 6180486 6415188 6442371 6497434 6529824 6571656 6655908 6786416 6879636 6908664 6937938 7044128 7073976 7210567 7452939 7484386 7606752 7634718 7924644 7929072 8026242 8240648 8553584 8589828 8725392 8762208 8799336 8874544 9056736 9133488 9172848 9211552 9250584 9270729 9396576 9431968 9622782 9746151 9937252 9983862 10021466 10179624 10362996 10566192 10610964 10701656 11226579 11410128 11453104 11732448 11843424 12039363 12126816 12334112 12360972 12830376 12884742 12994868 13143312 13311816 13572832 13759272 13817328 13875876 14147952 14421134 14905878 14968772 15032199 15269436 15849288 15858144 16052484 16481296 17107168 17179656 17390191 17450784 17598672 17749088 18266976 18345696 18501168 18541458 19245564 19492302 19874504 19967724 20042932 20359248 20725992 21132384 21221928 21403312 21631701 22358817 22453158 22741019 22820256 22906208 24078726 24721944 25660752 25769484 25989736 26286624 26623632 27518544 27634656 27751752 28295904 28842268 29238453 29811756 29937544 30064398 30538872 31698576 32104968 32962592 33679737 34359312 34780382 35197344 37002336 37082916 38491128 38984604 39749008 39935448 40085864 40718496 41451984 42233321 42443856 42806624 43263402 44717634 44906316 45096597 45482038 48157452 49443888 51321504 51538968 51979472 52170573 53247264 55037088 55503504 57684536 58476906 59623512 59875088 60128796 61077744 63397152 64209936 64895103 67359474 68223057 68718624 69560764 74165832 76982256 77969208 79498016 79870896 80171728 82903968 84466642 84887712 86526804 89435268 89812632 90193194 90964076 96314904 98887776 103077936 103958944 104341146 111007008 115369072 116953812 119247024 119750176 120257592 122155488 126699963 128419872 129790206 134718948 136446114 139121528 148331664 153964512 155938416 156511719 159741792 160343456 168933284 173053608 178870536 179625264 180386388 181928152 192629808 204669171 206155872 208682292 230738144 233907624 238494048 240515184 253399926 259580412 269437896 272892228 278243056 295633247 296663328 311876832 313023438 337866568 346107216 357741072 359250528 360772776 363856304 380099889 385259616 409338342 417364584 467815248 481030368 506799852 519160824 538875792 545784456 556486112 591266494 626046876 675733136 692214432 715482144 721545552 727712608 760199778 818676684 834729168 886899741 935630496 1013599704 1038321648 1077751584 1091568912 1182532988 1252093752 1351466272 1443091104 1520399556 1637353368 1669458336 1773799482 2027199408 2076643296 2183137824 2365065976 2504187504 2660699223 3040799112 3274706736 3547598964 4054398816 4730131952 5008375008 5321398446 6081598224 6549413472 7095197928 9460263904 10642796892 12163196448 14190395856 21285593784 28380791712 42571187568 85142375136
- Sum of all divisors σ(n): 332862566400
- Sum of proper divisors (its aliquot sum) s(n): 247720191264
- 85142375136 is an abundant number, because the sum of its proper divisors (247720191264) is greater than itself. Its abundance is 162577816128
Bases of 85142375136
- Binary: 10011110100101110000110001010111000002
- Hexadecimal: 0x13D2E18AE0
- Base-36: 1343KL40
Squares and roots of 85142375136
- 85142375136 squared (851423751362) is 7249224043799351018496
- 85142375136 cubed (851423751363) is 617216152982075239130130106515456
-
The
square root of 85142375136 is 291791.6639247941 -
The
cube root of 85142375136 is 4399.2832016909
Scales and comparisons
How big is 85142375136?- 85,142,375,136 seconds is equal to 2,707 years, 13 weeks, 5 days, 3 hours, 45 minutes, 36 seconds.
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To count from 1 to 85,142,375,136 would take you about five thousand, four hundred fourteen 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 85142375136 cubic inches would be around 366.6 feet tall.
Recreational maths with 85142375136
- 85142375136 backwards is 63157324158
- The number of decimal digits it has is: 11
- The sum of 85142375136's digits is 45
- More coming soon!
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The information we have on file for 85142375136 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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