972135707904

Names of 972135707904

• Cardinal: 972135707904 can be written as Nine hundred seventy-two billion, one hundred thirty-five million, seven hundred seven thousand, nine hundred four.

Scientific notation

• Scientific notation: 9.72135707904 × 10¹¹

Factors of 972135707904

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3777

Divisors of 972135707904

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 53 62 64 71 72 93 96 106 124 128 142 144 159 186 192 212 213 248 256 279 284 288 318 372 384 424 426 477 496 558 568 576 636 639 744 768 848 852 954 992 1116 1136 1152 1272 1278 1488 1643 1696 1704 1908 1984 2201 2232 2272 2304 2544 2556 2976 3286 3392 3408 3617 3763 3816 3968 4402 4464 4544 4929 5088 5112 5952 6572 6603 6784 6816 7234 7526 7632 7936 8804 8928 9088 9858 10176 10224 10851 11289 11904 13144 13206 13568 13632 14468 14787 15052 15264 17608 17856 18176 19716 19809 20352 20448 21702 22578 23808 26288 26412 27264 28936 29574 30104 30528 32553 33867 35216 35712 39432 39618 40704 40896 43404 45156 52576 52824 54528 57872 59148 60208 61056 65106 67734 70432 71424 78864 79236 81792 86808 90312 105152 105648 112127 115744 116653 118296 120416 122112 130212 135468 140864 157728 158472 163584 173616 180624 191701 210304 211296 224254 231488 233306 236592 240832 256807 260424 270936 281728 315456 316944 336381 347232 349959 361248 383402 420608 422592 448508 462976 466612 473184 481664 513614 520848 541872 563456 575103 630912 633888 672762 694464 699918 722496 766804 770421 845184 897016 925952 933224 946368 963328 1009143 1027228 1041696 1049877 1083744 1150206 1261824 1267776 1345524 1388928 1399836 1444992 1533608 1540842 1690368 1725309 1794032 1866448 1892736 2018286 2054456 2083392 2099754 2167488 2300412 2311263 2535552 2691048 2777856 2799672 2889984 3067216 3081684 3450618 3588064 3732896 3785472 4036572 4108912 4166784 4199508 4334976 4600824 4622526 5071104 5382096 5599344 5942731 6134432 6163368 6901236 7176128 7465792 7961017 8073144 8217824 8333568 8399016 8669952 9201648 9245052 10764192 11198688 11885462 12268864 12326736 13610771 13802472 14352256 14931584 15922034 16146288 16435648 16798032 17828193 18403296 18490104 21528384 22397376 23770924 23883051 24537728 24653472 27221542 27604944 28704512 29863168 31844068 32292576 32871296 33596064 35656386 36806592 36980208 40832313 43056768 44794752 47541848 47766102 49075456 49306944 53484579 54443084 55209888 63688136 64585152 65742592 67192128 71312772 71649153 73613184 73960416 81664626 86113536 89589504 95083696 95532204 98613888 106969158 108886168 110419776 122496939 127376272 129170304 134384256 142625544 143298306 147226368 147920832 163329252 190167392 191064408 197227776 213938316 217772336 220839552 244993878 254752544 258340608 268768512 285251088 286596612 295841664 326658504 380334784 382128816 421933901 427876632 435544672 441679104 489987756 509505088 570502176 573193224 591683328 653317008 760669568 764257632 843867802 855753264 871089344 979975512 1019010176 1141004352 1146386448 1265801703 1306634016 1521339136 1528515264 1687735604 1711506528 1742178688 1959951024 2038020352 2282008704 2292772896 2531603406 2613268032 3057030528 3375471208 3423013056 3484357376 3797405109 3919902048 4564017408 4585545792 5063206812 5226536064 6114061056 6750942416 6846026112 7594810218 7839804096 9171091584 10126413624 10453072128 13501884832 13692052224 15189620436 15679608192 18342183168 20252827248 27003769664 30379240872 31359216384 40505654496 54007539328 60758481744 81011308992 108015078656 121516963488 162022617984 243033926976 324045235968 486067853952 972135707904
• Sum of all divisors σ(n): 2990260675584
• Sum of proper divisors (its aliquot sum) s(n): 2018124967680
• 972135707904 is an abundant number, because the sum of its proper divisors (2018124967680) is greater than itself. Its abundance is 1045989259776

Bases of 972135707904

• Binary: 1110001001010111110011011011010100000000₂
• Hexadecimal: 0xE257CDB500
• Base-36: CELCI0W0

Squares and roots of 972135707904

• 972135707904 squared (972135707904²) is 945047834582011208073216
• 972135707904 cubed (972135707904³) is 918714745674525757704318076021899264
• The square root of 972135707904 is 985969.4254407689
• The cube root of 972135707904 is 9906.2427310189

Scales and comparisons

• 972,135,707,904 seconds is equal to 30,910 years, 47 weeks, 1 day, 16 hours, 38 minutes, 24 seconds.
• To count from 1 to 972,135,707,904 would take you about sixty-one thousand, eight hundred twenty-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 972135707904 cubic inches would be around 825.5 feet tall.

Recreational maths with 972135707904

• 972135707904 backwards is 409707531279
• The number of decimal digits it has is: 12
• The sum of 972135707904's digits is 54
• More coming soon!