146307834946768

Names of 146307834946768

• Cardinal: 146307834946768 can be written as One hundred forty-six trillion, three hundred seven billion, eight hundred thirty-four million, nine hundred forty-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46307834946768 × 10¹⁴

Factors of 146307834946768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5448

Divisors of 146307834946768

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 11 16 22 31 44 61 62 88 122 124 176 244 248 293 317 341 488 496 586 634 671 682 976 1172 1268 1342 1364 1891 2344 2536 2684 2728 3223 3487 3782 4688 4733 5072 5368 5456 6446 6974 7564 9083 9466 9827 10736 12892 13948 15128 17873 18166 18932 19337 19654 20801 25784 27896 30256 35746 36332 37864 38674 39308 41602 51568 52063 55792 71492 72664 75728 77348 78616 83204 92881 99913 104126 108097 142984 145328 146723 154696 157232 166408 185762 196603 199826 208252 212707 216194 285968 288713 293446 309392 332816 371524 393206 399652 416504 425414 432388 554063 577426 586892 599447 743048 786412 799304 833008 850828 864776 1021691 1108126 1154852 1173784 1198894 1386769 1486096 1500361 1572824 1598608 1613953 1701656 1729552 2043382 2216252 2309704 2347568 2397788 2773538 2879311 3000722 3145648 3175843 3227906 3403312 4086764 4432504 4619408 4795576 5547076 5665741 5758622 6001444 6094693 6351686 6455812 6593917 8173528 8865008 8950103 9591152 11094152 11331482 11517244 12002888 12189386 12703372 12911624 13187834 15254459 16347056 16503971 17900206 22188304 22662964 23034488 24005776 24378772 25406744 25823248 26375668 30508918 31672421 33007942 35800412 42989839 45325928 46068976 46511191 48757544 50813488 52751336 61017836 62323151 63344842 66015884 71600824 84592909 85979678 90651856 91522021 93022382 97515088 98451133 105502672 122035672 124646302 126689684 132031768 143201648 169185818 171959356 175637971 183044042 186044764 196902266 244071344 249292604 253379368 264063536 338371636 343918712 351275942 366088084 372089528 393804532 439605773 472888229 498585208 506758736 511623101 676743272 687837424 702551884 732176168 744179056 787609064 879211546 930521999 945776458 997170416 1006742231 1023246202 1353486544 1405103768 1464352336 1575218128 1758423092 1861043998 1891552916 1932017681 2013484462 2046492404 2622380179 2810207536 2837182651 3516846184 3722087996 3783105832 3864035362 4026968924 4092984808 4835663503 5244760358 5674365302 7033692368 7444175992 7566211664 7728070724 8053937848 8185969616 9671327006 10489520716 11348730604 13627778963 14888351984 15456141448 16107875696 19342654012 20979041432 22697461208 26815952153 27255557926 28846181969 30912282896 31209009161 38685308024 41958082864 45394922416 53631904306 54511115852 57692363938 62418018322 77370616048 107263808612 109022231704 115384727876 124836036644 149905568593 214527617224 218044463408 230769455752 249672073288 294975473683 299811137186 429055234448 461538911504 499344146576 589950947366 599622274372 831294516743 1179901894732 1199244548744 1662589033486 2359803789464 2398489097488 3325178066972 4719607578928 6650356133944 9144239684173 13300712267888 18288479368346 36576958736692 73153917473384 146307834946768
• Sum of all divisors σ(n): 326653496838144
• Sum of proper divisors (its aliquot sum) s(n): 180345661891376
• 146307834946768 is an abundant number, because the sum of its proper divisors (180345661891376) is greater than itself. Its abundance is 34037826944608

Bases of 146307834946768

• Binary: 100001010001000011110010100001111010010011010000₂
• Hexadecimal: 0x8510F287A4D0
• Base-36: 1FV0W3DCR4

Squares and roots of 146307834946768

• 146307834946768 squared (146307834946768²) is 21405982566810707657393645824
• 146307834946768 cubed (146307834946768³) is 3131862964258334228174718473247852485496832
• The square root of 146307834946768 is 12095777.5668523271
• The cube root of 146307834946768 is 52693.3562295831

Scales and comparisons

• 146,307,834,946,768 seconds is equal to 4,652,136 years, 30 weeks, 5 days, 6 hours, 59 minutes, 28 seconds.
• To count from 1 to 146,307,834,946,768 would take you about eleven million, six hundred thirty thousand, three hundred forty-one 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 146307834946768 cubic inches would be around 4391.1 feet tall.

Recreational maths with 146307834946768

• 146307834946768 backwards is 867649438703641
• The number of decimal digits it has is: 15
• The sum of 146307834946768's digits is 76
• More coming soon!