40825748896920

Names of 40825748896920

• Cardinal: 40825748896920 can be written as Forty trillion, eight hundred twenty-five billion, seven hundred forty-eight million, eight hundred ninety-six thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.082574889692 × 10¹³

Factors of 40825748896920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 202

Divisors of 40825748896920

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 169 179 180 195 216 234 260 270 312 324 338 351 358 360 390 405 468 507 520 537 540 585 648 676 702 716 780 810 845 895 936 1014 1053 1074 1080 1170 1352 1404 1432 1521 1560 1611 1620 1690 1755 1790 2028 2106 2148 2197 2327 2340 2535 2685 2808 3042 3222 3240 3380 3510 3580 4056 4212 4296 4394 4563 4654 4680 4833 5070 5265 5370 6084 6444 6591 6760 6981 7020 7160 7605 8055 8424 8788 9126 9308 9666 10140 10530 10740 10985 11635 12168 12888 13182 13689 13962 14040 14499 15210 16110 17576 18252 18616 19332 19773 20280 20943 21060 21480 21970 22815 23270 24165 26364 27378 27924 28998 30251 30420 32041 32220 32955 34905 36504 38664 39546 41886 42120 43940 45630 46540 48330 52728 54756 55848 57996 59319 60502 60840 62829 64082 64440 65910 68445 69810 72495 79092 83772 87880 90753 91260 93080 96123 96660 98865 104715 109512 115992 118638 121004 125658 128164 131820 136890 139620 144990 151255 158184 160205 167544 177957 181506 182520 188487 192246 193320 197730 209430 237276 242008 251316 256328 263640 272259 273780 279240 288369 289980 296595 302510 314145 320410 355914 363012 376974 384492 393263 395460 416533 418860 453765 474552 480615 502632 544518 547560 576738 579960 593190 605020 628290 640820 711828 726024 753948 768984 786526 790920 816777 833066 837720 865107 889785 907530 942435 961230 1089036 1153476 1179789 1186380 1210040 1249599 1256580 1281640 1361295 1423656 1441845 1507896 1573052 1633554 1666132 1730214 1779570 1815060 1884870 1922460 1966315 2082665 2178072 2306952 2359578 2372760 2450331 2499198 2513160 2595321 2722590 2883690 3146104 3267108 3332264 3460428 3539367 3559140 3630120 3748797 3769740 3844920 3932630 4083885 4165330 4325535 4719156 4900662 4998396 5190642 5414929 5445180 5735339 5767380 5898945 6247995 6534216 6920856 7078734 7118280 7497594 7539480 7865260 8167770 8330660 8651070 9438312 9801324 9996792 10381284 10618101 10829858 10890360 11246391 11470678 11534760 11797890 12251655 12495990 12976605 14157468 14995188 15730520 16244787 16335540 16661320 17206017 17302140 17696835 18743985 19602648 20762568 21236202 21659716 22492782 22941356 23595780 24503310 24991980 25953210 27074645 28314936 28676695 29990376 31854303 32489574 32671080 33739173 34412034 34604280 35393670 37487970 42472404 43319432 44985564 45882712 47191560 48734361 49006620 49983960 51618051 51906420 53090505 54149290 56231955 57353390 63708606 64979148 67478346 68824068 70394077 70787340 74559407 74975940 81223935 84944808 86030085 89971128 97468722 98013240 103236102 103812840 106181010 108298580 112463910 114706780 127417212 129958296 134956692 137648136 140788154 141574680 146203083 149118814 149951880 154854153 159271515 162447870 168695865 172060170 194937444 206472204 211182231 212362020 216597160 223678221 224927820 229413560 243671805 254834424 258090255 269913384 281576308 292406166 298237628 309708306 318543030 324895740 337391730 344120340 351970385 372797035 389874888 412944408 422364462 424724040 438609249 447356442 449855640 464562459 487343610 516180510 563152616 584812332 596475256 619416612 633546693 637086060 649791480 671034663 674783460 688240680 703940770 731015415 745594070 774270765 844728924 877218498 894712884 929124918 969272291 974687220 1032361020 1055911155 1118391105 1169624664 1238833224 1267093386 1274172120 1342069326 1349566920 1407881540 1462030830 1491188140 1548541530 1689457848 1754436996 1789425768 1858249836 1900640079 1938544582 1949374440 2013103989 2064722040 2111822310 2193046245 2236782210 2322812295 2534186772 2684138652 2815763080 2907816873 2924061660 2982376280 3097083060 3167733465 3355173315 3508873992 3716499672 3801280158 3877089164 4026207978 4223644620 4386092490 4473564420 4645624590 4846361455 5068373544 5368277304 5701920237 5815633746 5848123320 6039311967 6194166120 6335466930 6710346630 7602560316 7754178328 8052415956 8447289240 8723450619 8772184980 8947128840 9291249180 9503200395 9692722910 10065519945 11403840474 11631267492 12078623934 12600539783 12670933860 13420693260 14539084365 15205120632 16104831912 17446901238 17544369960 18582498360 19006400790 19385445820 20131039890 22807680948 23262534984 24157247868 25201079566 25341867720 26170351857 26841386520 28509601185 29078168730 30196559835 34893802476 37801619349 38012801580 38770891640 40262079780 43617253095 45615361896 48314495736 50402159132 52340703714 57019202370 58156337460 60393119670 63002698915 69787604952 75603238698 76025603160 78511055571 80524159560 87234506190 100804318264 104681407428 113404858047 114038404740 116312674920 120786239340 126005397830 130851759285 151206477396 157022111142 174469012380 189008096745 209362814856 226809716094 228076809480 241572478680 252010795660 261703518570 302412954792 314044222284 340214574141 348938024760 378016193490 392555277855 453619432188 504021591320 523407037140 567024290235 628088444568 680429148282 756032386980 785110555710 907238864376 1020643722423 1046814074280 1134048580470 1360858296564 1512064773960 1570221111420 1701072870705 2041287444846 2268097160940 2721716593128 3140442222840 3402145741410 4082574889692 4536194321880 5103218612115 6804291482820 8165149779384 10206437224230 13608582965640 20412874448460 40825748896920
• Sum of all divisors σ(n): 149484773592000
• Sum of proper divisors (its aliquot sum) s(n): 108659024695080
• 40825748896920 is an abundant number, because the sum of its proper divisors (108659024695080) is greater than itself. Its abundance is 67833275798160

Bases of 40825748896920

• Binary: 1001010010000101111100010000101011110010011000₂
• Hexadecimal: 0x25217C42BC98
• Base-36: EGZ38SXI0

Squares and roots of 40825748896920

• 40825748896920 squared (40825748896920²) is 1666741772994364596785486400
• 40825748896920 cubed (40825748896920³) is 68045981100275165482591371972665661888000
• The square root of 40825748896920 is 6389503.0242515731
• The cube root of 40825748896920 is 34433.2529818021

Scales and comparisons

• 40,825,748,896,920 seconds is equal to 1,298,132 years, 27 weeks, 4 days, 20 hours, 42 minutes.
• To count from 1 to 40,825,748,896,920 would take you about three million, two hundred forty-five thousand, three hundred thirty-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 40825748896920 cubic inches would be around 2869.4 feet tall.

Recreational maths with 40825748896920

• 40825748896920 backwards is 02969884752804
• 40825748896920 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40825748896920's digits is 72
• More coming soon!