146134350672992
146,134,350,672,992 is an even composite number composed of eight prime numbers multiplied together.
146134350672992 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146134350672992:
25 × 11 × 19 × 29 × 31 × 37 × 601 × 1093
(2 × 2 × 2 × 2 × 2 × 11 × 19 × 29 × 31 × 37 × 601 × 1093)See below for interesting mathematical facts about the number 146134350672992 from the Numbermatics database.
Names of 146134350672992
- Cardinal: 146134350672992 can be written as One hundred forty-six trillion, one hundred thirty-four billion, three hundred fifty million, six hundred seventy-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.46134350672992 × 1014
Factors of 146134350672992
Divisors of 146134350672992
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 11 16 19 22 29 31 32 37 38 44 58 62 74 76 88 116 124 148 152 176 209 232 248 296 304 319 341 352 407 418 464 496 551 589 592 601 608 638 682 703 814 836 899 928 992 1073 1093 1102 1147 1178 1184 1202 1276 1364 1406 1628 1672 1798 2146 2186 2204 2294 2356 2404 2552 2728 2812 3256 3344 3596 4292 4372 4408 4588 4712 4808 5104 5456 5624 6061 6479 6512 6611 6688 7192 7733 8584 8744 8816 9176 9424 9616 9889 10208 10912 11248 11419 11803 12023 12122 12617 12958 13024 13222 14384 15466 17081 17168 17429 17488 17632 18352 18631 18848 19232 19778 20387 20767 21793 22237 22496 22838 23606 24046 24244 25234 25916 26444 28768 30932 31697 33263 33883 34162 34336 34858 34976 36704 37262 39556 40441 40774 41534 43586 44474 45676 47212 48092 48488 50468 51832 52888 61864 63394 66526 67766 68324 69716 74524 79112 80882 81548 83068 87172 88948 91352 94424 96184 96976 100936 103664 105776 123728 125609 126788 133052 135532 136648 139432 149048 158224 161764 163096 166136 174344 177896 182704 187891 188848 191719 192368 193952 201872 204941 207328 211552 224257 228437 239723 244607 247456 251218 253576 266104 271064 273296 278864 298096 316448 323528 326192 331151 332272 348667 348688 353989 355792 365408 365893 372713 375782 377696 383438 384736 403744 409882 422503 444851 448514 456874 479446 489214 502436 507152 532208 540299 542128 546592 557728 596192 602243 631997 643777 644873 647056 652384 656893 662302 664544 689347 697334 697376 707978 711584 731786 745426 751564 766876 768379 819764 845006 889702 897028 913748 958892 978428 982607 1004872 1014304 1064416 1080598 1084256 1172789 1204486 1253671 1263994 1287554 1289746 1294112 1313786 1324604 1378694 1394668 1415956 1463572 1490852 1503128 1533752 1536758 1639528 1690012 1779404 1794056 1827496 1917784 1956856 1965214 2009744 2161196 2345578 2408972 2507342 2527988 2575108 2579492 2627572 2649208 2757388 2789336 2831912 2927144 2981704 3006256 3067504 3073516 3279056 3380024 3558808 3588112 3642661 3654992 3835568 3893879 3913712 3930428 4019488 4322392 4647533 4691156 4817944 5014684 5055976 5150216 5158984 5255144 5298416 5514776 5578672 5663824 5854288 5943289 5963408 6012512 6135008 6147032 6558112 6624673 6760048 6951967 7081547 7093603 7117616 7176224 7225823 7285322 7309984 7582817 7671136 7787758 7827424 7860856 8452169 8644784 9295066 9382312 9635888 10029368 10111952 10265681 10300432 10317968 10510288 10596832 10808677 11029552 11157344 11327648 11708576 11886578 11926816 12252587 12294064 12480967 12900679 13097593 13249346 13520096 13790381 13903934 14163094 14187206 14235232 14451646 14570644 15165634 15575516 15721712 16904338 17289568 18590132 18669533 18764624 19049897 19271776 19991063 20058736 20223904 20363683 20531362 20600864 20635936 21020576 21617354 22059104 22282991 23773156 23819749 24305041 24505174 24588128 24961934 25801358 26195186 26498692 27580762 27807868 28326188 28374412 28903292 29141288 30331268 31151032 31443424 33808676 36356459 37180264 37339066 37529248 38099794 39982126 40117472 40727366 41062724 43234708 44565982 47546312 47639498 48610082 49010348 49923868 51602716 52390372 52997384 55161524 55615736 56652376 56748824 57806584 58282576 60662536 62302064 67617352 72712918 74360528 74678132 76199588 79964252 81454732 82125448 86469416 89131964 95092624 95278996 97220164 98020696 99847736 103205432 104780744 105994768 110323048 111231472 112922491 113304752 113497648 115613168 116565152 121325072 124604128 134778457 135234704 137290637 144073523 145425836 148721056 149356264 152399176 159928504 162909464 164250896 172938832 178263928 190185248 190557992 194440328 196041392 199695472 205364863 206410864 209548867 209561488 211989536 219901693 220646096 222462944 224000513 225844982 226609504 226995296 231226336 242650144 245112901 262017239 267355451 269556914 270469408 274581274 288147046 290851672 298712528 304798352 319857008 325818928 328501792 345877664 356527856 361948043 379830197 381115984 386909977 388880656 392082784 399390944 399921049 410729726 412821728 419097734 419122976 439803386 441292192 448001026 451689964 461795779 490225802 524034478 534710902 539113828 549162548 576294092 581703344 590546807 597425056 609596704 639714016 651637856 690772721 704846189 713055712 723896086 753456271 759660394 762231968 773819954 777761312 799842098 821459452 838195468 879606772 896002052 903379928 923591558 980451604 1048068956 1069421804 1078227656 1098325096 1152588184 1163406688 1181093614 1381545442 1409692378 1447792172 1506912542 1519320788 1547639908 1599684196 1642918904 1676390936 1759213544 1792004104 1806759856 1847183116 1960903208 2096137912 2138843608 2156455312 2196650192 2305176368 2362187228 2763090884 2819384756 2895584344 3013825084 3038641576 3095279816 3199368392 3285837808 3352781872 3518427088 3584008208 3613519712 3694366232 3921806416 3981428473 4178132167 4192275824 4256009747 4277687216 4312910624 4393300384 4610352736 4724374456 5079753569 5526181768 5638769512 5791168688 6027650168 6077283152 6190559632 6398736784 6496014877 6571675616 6705563744 7036854176 7168016416 7388732464 7598499931 7753308079 7843612832 7962856946 8288018981 8356264334 8384551648 8512019494 8555374432 9448748912 10159507138 11052363536 11220389333 11277539024 11582337376 12055300336 12154566304 12381119264 12797473568 12992029754 13392077591 14315669149 14777464928 15196999862 15506616158 15925713892 16576037962 16712528668 17024038988 18897497824 20319014276 21850231859 22104727072 22440778666 22555078048 24110600672 25984059508 26784155182 28631338298 30393999724 31013232316 31851427784 33152075924 33425057336 34048077976 40638028552 43700463718 44881557332 51968119016 53568310364 57262676596 60787999448 62026464632 63702855568 66304151848 66850114672 68096155952 81276057104 87400927436 89763114664 103936238032 107136620728 114525353192 121575998896 123424282663 124052929264 127405711136 132608303696 133700229344 136192311904 147312853501 157472360639 162552114208 174801854872 179526229328 207872476064 214273241456 229050706384 240352550449 243151997792 246848565326 248105858528 265216607392 294625707002 314944721278 349603709744 359052458656 415154405321 428546482912 458101412768 480705100898 493697130652 589251414004 629889442556 699207419488 830308810642 961410201796 987394261304 1178502828008 1259778885112 1660617621284 1922820403592 1974788522608 2357005656016 2519557770224 3321235242568 3845640807184 3949577045216 4566698458531 4714011312032 5039115540448 6642470485136 7691281614368 9133396917062 13284940970272 18266793834124 36533587668248 73067175336496 146134350672992
- Sum of all divisors σ(n): 363262388428800
- Sum of proper divisors (its aliquot sum) s(n): 217128037755808
- 146134350672992 is an abundant number, because the sum of its proper divisors (217128037755808) is greater than itself. Its abundance is 70993687082816
Bases of 146134350672992
- Binary: 1000010011101000100011100000111110110100011000002
- Hexadecimal: 0x84E88E0FB460
- Base-36: 1FST6ZBAE8
Squares and roots of 146134350672992
- 146134350672992 squared (1461343506729922) is 21355248446616997403318232064
- 146134350672992 cubed (1461343506729923) is 3120735365206795977071264002275742033215488
-
The
square root of 146134350672992 is 12088604.1656177989 -
The
cube root of 146134350672992 is 52672.5209722321
Scales and comparisons
How big is 146134350672992?- 146,134,350,672,992 seconds is equal to 4,646,620 years, 17 weeks, 10 hours, 56 minutes, 32 seconds.
-
To count from 1 to 146,134,350,672,992 would take you about eleven million, six hundred sixteen thousand, five hundred fifty 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 146134350672992 cubic inches would be around 4389.4 feet tall.
Recreational maths with 146134350672992
- 146134350672992 backwards is 299276053431641
- 146134350672992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146134350672992's digits is 62
- More coming soon!
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The information we have on file for 146134350672992 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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