146135315144
146,135,315,144 is an even composite number composed of eight prime numbers multiplied together.
146135315144 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 146135315144:
23 × 7 × 13 × 19 × 31 × 37 × 61 × 151
(2 × 2 × 2 × 7 × 13 × 19 × 31 × 37 × 61 × 151)See below for interesting mathematical facts about the number 146135315144 from the Numbermatics database.
Names of 146135315144
- Cardinal: 146135315144 can be written as One hundred forty-six billion, one hundred thirty-five million, three hundred fifteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.46135315144 × 1011
Factors of 146135315144
Divisors of 146135315144
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 7 8 13 14 19 26 28 31 37 38 52 56 61 62 74 76 91 104 122 124 133 148 151 152 182 217 244 247 248 259 266 296 302 364 403 427 434 481 488 494 518 532 589 604 703 728 793 806 854 868 962 988 1036 1057 1064 1147 1159 1178 1208 1406 1586 1612 1708 1729 1736 1891 1924 1963 1976 2072 2114 2257 2294 2318 2356 2812 2821 2869 3172 3224 3367 3416 3458 3782 3848 3926 4123 4228 4514 4588 4636 4681 4712 4921 5551 5587 5624 5642 5738 6344 6734 6916 7564 7657 7852 8029 8113 8246 8456 9028 9139 9176 9211 9272 9362 9842 11102 11174 11284 11476 13237 13468 13741 13832 14911 15067 15128 15314 15704 15799 16058 16226 16492 18056 18278 18422 18724 19684 20083 21793 22204 22348 22568 22952 24583 26474 26936 27482 29341 29822 30134 30628 31598 32116 32452 32767 32984 35929 36556 36844 37297 37448 39109 39368 40166 42883 43586 44408 44696 49166 52948 53599 54964 58682 59644 60268 60853 61256 63196 63973 64232 64477 64904 65534 69967 71858 72631 73112 73688 74594 78218 80332 85766 87172 88939 98332 104377 105469 105896 106153 107198 109928 117364 119288 119743 120536 121706 126392 127946 128954 131068 139934 143716 145262 149188 152551 156436 160664 171532 172081 173197 174344 175009 177878 196664 205387 208754 210938 212306 214396 234728 239486 243412 251503 255892 257908 261079 262136 279868 283309 285541 287432 290524 298376 300181 305102 312872 340807 343064 344162 346394 350018 355756 410774 417508 421876 424612 425971 428792 467077 478972 486824 489769 503006 508417 511784 515816 522158 557479 559736 566618 571082 581048 600362 610204 622573 681614 688324 692788 700036 711512 743071 821548 835016 838201 843752 849224 851942 909571 934154 957944 979538 1006012 1016834 1044316 1114958 1133236 1142164 1156207 1200724 1212379 1220408 1225063 1245146 1329373 1363228 1376648 1379989 1385576 1400072 1486142 1643096 1676402 1703884 1819142 1868308 1959076 1983163 1998787 2012024 2033668 2088632 2229916 2251561 2266472 2275117 2284328 2312414 2385649 2401448 2424758 2450126 2490292 2658746 2726456 2759978 2972284 3269539 3290743 3352804 3407768 3638284 3712033 3736616 3902353 3918152 3966326 3997574 4067336 4430491 4459832 4503122 4550234 4624828 4771298 4849516 4900252 4980584 5317492 5425279 5519956 5944568 6366997 6475333 6539078 6581486 6705608 7276568 7424066 7804706 7932652 7995148 8093449 8860982 9006244 9100468 9249656 9305611 9542596 9659923 9699032 9800504 10565017 10634984 10850558 11039912 12733994 12950666 13078156 13162972 14848132 15609412 15760927 15865304 15925819 15990296 16186898 17281849 17721964 18012488 18200936 18611222 19085192 19319846 21130034 21701116 23035201 25467988 25901332 25984231 26156312 26325944 29696264 31013437 31218824 31521854 31851638 32373796 34563698 35443928 37222444 37976953 38639692 42260068 42779659 43402232 45327331 46070402 50935976 51802664 51968462 62026874 63043708 63703276 64747592 69127396 70528627 73955119 74444888 75953906 77279384 84179329 84520136 85559318 90654662 92140804 103936924 120972943 124053748 126087416 127406552 137345221 138254792 141057254 147910238 151907812 168358658 171118636 181309324 184281608 200735323 207873848 241945886 248107496 274690442 282114508 295820476 299457613 303815624 336717316 342237272 362618648 401470646 483891772 493700389 549380884 564229016 589255303 591640952 598915226 673434632 802941292 961416547 967783544 987400778 1098761768 1178510606 1197830452 1405147261 1605882584 1922833094 1974801556 2357021212 2395660904 2609559199 2810294522 3845666188 3949603112 4714042424 5219118398 5620589044 7691332376 10438236796 11241178088 18266914393 20876473592 36533828786 73067657572 146135315144
- Sum of all divisors σ(n): 385042022400
- Sum of proper divisors (its aliquot sum) s(n): 238906707256
- 146135315144 is an abundant number, because the sum of its proper divisors (238906707256) is greater than itself. Its abundance is 92771392112
Bases of 146135315144
- Binary: 100010000001100101011111110010110010002
- Hexadecimal: 0x220657F2C8
- Base-36: 1V4T6YTK
Squares and roots of 146135315144
- 146135315144 squared (1461353151442) is 21355530332236195740736
- 146135315144 cubed (1461353151443) is 3120797155168587486816125878505984
-
The
square root of 146135315144 is 382276.4904411465 -
The
cube root of 146135315144 is 5267.2636849637
Scales and comparisons
How big is 146135315144?- 146,135,315,144 seconds is equal to 4,646 years, 33 weeks, 5 days, 23 hours, 5 minutes, 44 seconds.
-
To count from 1 to 146,135,315,144 would take you about nine thousand, two hundred ninety-three 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 146135315144 cubic inches would be around 438.9 feet tall.
Recreational maths with 146135315144
- 146135315144 backwards is 441513531641
- 146135315144 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146135315144's digits is 38
- More coming soon!
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