40744874016

Names of 40744874016

• Cardinal: 40744874016 can be written as Forty billion, seven hundred forty-four million, eight hundred seventy-four thousand and sixteen.

Scientific notation

• Scientific notation: 4.0744874016 × 10¹⁰

Factors of 40744874016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 367

Divisors of 40744874016

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 67 72 77 81 84 88 96 99 108 112 121 126 132 134 144 154 162 168 176 189 198 201 216 224 231 242 252 264 268 277 288 297 308 324 336 352 363 378 396 402 432 462 469 484 504 528 536 554 567 594 603 616 648 672 693 726 737 756 792 804 831 847 864 891 924 938 968 1008 1056 1072 1089 1108 1134 1188 1206 1232 1296 1386 1407 1452 1474 1512 1584 1608 1662 1694 1782 1809 1848 1876 1936 1939 2016 2079 2144 2178 2211 2216 2268 2376 2412 2464 2493 2541 2592 2772 2814 2904 2948 3024 3047 3168 3216 3267 3324 3388 3564 3618 3696 3752 3872 3878 4158 4221 4356 4422 4432 4536 4752 4824 4986 5082 5159 5427 5544 5628 5808 5817 5896 6048 6094 6237 6432 6534 6633 6648 6776 7128 7236 7392 7479 7504 7623 7756 8107 8316 8442 8712 8844 8864 9072 9141 9504 9648 9801 9972 10164 10318 10854 11088 11256 11616 11634 11792 12188 12474 12663 13068 13266 13296 13552 14256 14472 14958 15008 15246 15477 15512 16214 16632 16884 17424 17451 17688 18144 18282 18559 19296 19602 19899 19944 20328 20636 21329 21708 22176 22437 22512 22869 23268 23584 24321 24376 24948 25326 26136 26532 26592 27104 27423 28512 28944 29916 30492 30954 31024 32428 33264 33517 33768 34848 34902 35376 36564 37118 37989 39204 39798 39888 40656 41272 42658 43416 44874 45024 45738 46431 46536 48642 48752 49896 50652 52272 52353 53064 54846 55677 56749 57888 59697 59832 60984 61908 62048 63987 64856 66528 67034 67536 68607 69804 70752 72963 73128 74236 75978 78408 79596 79776 81312 82269 82544 85316 86832 89748 91476 92862 93072 97284 97504 99792 100551 101304 104544 104706 106128 109692 111354 113498 119394 119664 121968 123816 127974 129712 129913 134068 135072 137214 139293 139608 145926 146256 148472 151956 156816 157059 159192 164538 165088 167031 170247 170632 173664 179496 182952 185724 186144 191961 194568 199584 201102 202608 204149 209412 212256 218889 219384 222708 226996 234619 238788 239328 243936 246807 247632 255948 259424 259826 268136 274428 278586 279216 291852 292512 296944 301653 303912 313632 314118 318384 329076 334062 340494 341264 358992 365904 371448 383922 389136 389739 402204 405216 408298 417879 418824 437778 438768 445416 453992 469238 477576 493614 495264 501093 510741 511896 519652 536272 548856 557172 558432 575883 583704 593888 603306 607824 612447 628236 636768 656667 658152 668124 680988 682528 703857 717984 731808 742896 767844 778272 779478 804408 816596 835758 837648 875556 877536 890832 904959 907984 938476 955152 987228 1002186 1021482 1023792 1039304 1072544 1097712 1114344 1151766 1167408 1169217 1206612 1215648 1224894 1256472 1313334 1316304 1336248 1361976 1407714 1429043 1485792 1503279 1532223 1535688 1558956 1608816 1633192 1671516 1675296 1727649 1751112 1781664 1809918 1815968 1837341 1876952 1910304 1974456 2004372 2042964 2047584 2078608 2111571 2195424 2228688 2245639 2303532 2334816 2338434 2413224 2449788 2512944 2626668 2632608 2672496 2714877 2723952 2815428 2858086 3006558 3064446 3071376 3117912 3217632 3266384 3343032 3455298 3502224 3507651 3619836 3674682 3753904 3948912 4008744 4085928 4157216 4223142 4287129 4457376 4491278 4596669 4607064 4676868 4826448 4899576 5025888 5253336 5344992 5429754 5447904 5512023 5630856 5716172 6013116 6128892 6142752 6235824 6334713 6532768 6686064 6736917 6910596 7004448 7015302 7239672 7349364 7507808 7897824 8017488 8171856 8446284 8574258 8982556 9193338 9214128 9353736 9652896 9799152 10506672 10522953 10859508 11024046 11261712 11432344 12026232 12257784 12471648 12669426 12861387 13372128 13473834 13821192 14030604 14479344 14698728 15719473 16034976 16343712 16536069 16892568 17148516 17965112 18386676 18428256 18707472 19004139 19598304 20210751 21013344 21045906 21719016 22048092 22523424 22864688 24052464 24515568 25338852 25722774 26947668 27642384 28061208 28958688 29397456 31438946 33072138 33785136 34297032 35930224 36773352 37414944 38008278 38584161 40421502 42091812 43438032 44096184 45729376 47158419 48104928 49031136 50677704 51445548 53895336 55284768 56122416 58794912 60632253 62877892 66144276 67570272 68594064 71860448 73546704 76016556 77168322 80843004 84183624 86876064 88192368 94316838 101355408 102891096 107790672 112244832 115752483 121264506 125755784 132288552 137188128 141475257 147093408 152033112 154336644 161686008 168367248 176384736 181896759 188633676 202710816 205782192 215581344 231504966 242529012 251511568 264577104 282950514 304066224 308673288 323372016 336734496 363793518 377267352 411564384 424425771 463009932 485058024 503023136 529154208 565901028 608132448 617346576 646744032 727587036 754534704 848851542 926019864 970116048 1131802056 1234693152 1273277313 1455174072 1509069408 1697703084 1852039728 1940232096 2263604112 2546554626 2910348144 3395406168 3704079456 4527208224 5093109252 5820696288 6790812336 10186218504 13581624672 20372437008 40744874016
• Sum of all divisors σ(n): 153327924288
• Sum of proper divisors (its aliquot sum) s(n): 112583050272
• 40744874016 is an abundant number, because the sum of its proper divisors (112583050272) is greater than itself. Its abundance is 71838176256

Bases of 40744874016

• Binary: 100101111100100101010111000000100000₂
• Hexadecimal: 0x97C957020
• Base-36: IPUG200

Squares and roots of 40744874016

• 40744874016 squared (40744874016²) is 1660144758579711968256
• 40744874016 cubed (40744874016³) is 67642389036653099240158111236096
• The square root of 40744874016 is 201853.5954993123
• The cube root of 40744874016 is 3441.0500787399

Scales and comparisons

• 40,744,874,016 seconds is equal to 1,295 years, 29 weeks, 1 day, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,744,874,016 would take you about two thousand, five hundred ninety-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 40744874016 cubic inches would be around 286.8 feet tall.

Recreational maths with 40744874016

• 40744874016 backwards is 61047844704
• The number of decimal digits it has is: 11
• The sum of 40744874016's digits is 45
• More coming soon!