40382834688

Names of 40382834688

• Cardinal: 40382834688 can be written as Forty billion, three hundred eighty-two million, eight hundred thirty-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 4.0382834688 × 10¹⁰

Factors of 40382834688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 48

Divisors of 40382834688

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 63 64 68 72 76 84 96 102 108 112 114 119 126 128 133 136 144 152 153 168 171 189 192 204 216 224 228 238 252 256 266 272 288 289 304 306 323 336 342 357 361 378 384 399 408 432 448 456 459 476 504 512 513 532 544 576 578 608 612 646 672 684 714 722 756 768 798 816 864 867 896 912 918 952 969 1008 1024 1026 1064 1071 1083 1088 1152 1156 1197 1216 1224 1292 1344 1368 1428 1444 1512 1536 1596 1632 1728 1734 1792 1824 1836 1904 1938 2016 2023 2048 2052 2128 2142 2166 2176 2261 2304 2312 2394 2432 2448 2527 2584 2601 2688 2736 2856 2888 2907 3024 3072 3192 3213 3249 3264 3456 3468 3584 3591 3648 3672 3808 3876 4032 4046 4104 4256 4284 4332 4352 4522 4608 4624 4788 4864 4896 5054 5168 5202 5376 5472 5491 5712 5776 5814 6048 6069 6137 6144 6384 6426 6498 6528 6783 6912 6936 7168 7182 7296 7344 7581 7616 7752 7803 8064 8092 8208 8512 8568 8664 8704 8721 9044 9216 9248 9576 9728 9747 9792 10108 10336 10404 10752 10944 10982 11424 11552 11628 12096 12138 12274 12768 12852 12996 13056 13566 13824 13872 14336 14364 14592 14688 15162 15232 15504 15606 16128 16184 16416 16473 17024 17136 17328 17408 17442 18088 18207 18411 18432 18496 19152 19456 19494 19584 20216 20349 20672 20808 21504 21888 21964 22743 22848 23104 23256 24192 24276 24548 25536 25704 25992 26112 27132 27648 27744 28728 29184 29376 30324 30464 31008 31212 32256 32368 32832 32946 34048 34272 34656 34816 34884 36176 36414 36822 36992 38304 38437 38912 38988 39168 40432 40698 41344 41616 42959 43008 43776 43928 45486 45696 46208 46512 48384 48552 49096 49419 51072 51408 51984 52224 54264 54621 55233 55296 55488 57456 58368 58752 60648 60928 61047 62016 62424 64512 64736 65664 65892 68096 68229 68544 69312 69768 72352 72828 73644 73984 76608 76874 77976 78336 80864 81396 82688 83232 85918 87552 87856 90972 91392 92416 93024 96768 97104 98192 98838 102144 102816 103968 104329 104448 108528 109242 110466 110976 114912 115311 116736 117504 121296 121856 122094 124032 124848 128877 129024 129472 131328 131784 136192 136458 137088 138624 139536 144704 145656 147288 147968 148257 153216 153748 155952 156672 161728 162792 165376 165699 166464 171836 175104 175712 181944 182784 184832 186048 193536 194208 196384 197676 204288 205632 207936 208658 217056 218484 220932 221952 229824 230622 235008 242592 243712 244188 248064 249696 257754 258944 262656 263568 272384 272916 274176 277248 279072 289408 291312 294576 295936 296514 306432 307496 311904 312987 313344 323456 325584 330752 331398 332928 343672 345933 350208 351424 363888 365568 369664 372096 386631 387072 388416 392768 395352 408576 411264 415872 417316 434112 436968 441864 443904 459648 461244 470016 485184 488376 496128 499392 515508 517888 525312 527136 545832 548352 554496 558144 578816 582624 589152 591872 593028 612864 614992 623808 625974 646912 651168 661504 662796 665856 687344 691866 702848 727776 730303 731136 739328 744192 773262 776832 785536 790704 817152 822528 831744 834632 868224 873936 883728 887808 919296 922488 938961 940032 970368 976752 992256 998784 1031016 1035776 1037799 1050624 1054272 1091664 1096704 1108992 1116288 1157632 1159893 1165248 1178304 1186056 1225728 1229984 1247616 1251948 1293824 1302336 1325592 1331712 1374688 1383732 1405696 1455552 1460606 1488384 1546524 1553664 1571072 1581408 1645056 1663488 1669264 1736448 1747872 1767456 1775616 1838592 1844976 1877922 1940736 1953504 1984512 1997568 2062032 2071552 2075598 2108544 2183328 2190909 2193408 2217984 2232576 2315264 2319786 2330496 2356608 2372112 2451456 2459968 2495232 2503896 2587648 2604672 2651184 2663424 2749376 2767464 2811392 2816883 2911104 2921212 2976768 3093048 3107328 3142144 3162816 3290112 3326976 3338528 3472896 3495744 3534912 3677184 3689952 3755844 3881472 3907008 3995136 4124064 4143104 4151196 4217088 4366656 4381818 4465152 4630528 4639572 4660992 4713216 4744224 4919936 4990464 5007792 5175296 5209344 5302368 5326848 5498752 5534928 5622784 5633766 5822208 5842424 5953536 6186096 6214656 6284288 6325632 6572727 6580224 6653952 6677056 6945792 6991488 7069824 7354368 7379904 7511688 7762944 7814016 7990272 8248128 8302392 8434176 8733312 8763636 8930304 9279144 9321984 9426432 9488448 9839872 9980928 10015584 10418688 10604736 10997504 11069856 11245568 11267532 11644416 11684848 12372192 12429312 12568576 12651264 13145454 13354112 13891584 13982976 14139648 14759808 15023376 15525888 15628032 15980544 16496256 16604784 16868352 17466624 17527272 17860608 18558288 18643968 18852864 18976896 19679744 19718181 19961856 20031168 20837376 21209472 21995008 22139712 22535064 23288832 23369696 24744384 25302528 26290908 26708224 27965952 28279296 29519616 30046752 31256064 32992512 33209568 33736704 34933248 35054544 37116576 37287936 37705728 37953792 39359488 39436362 40062336 41674752 42418944 43990016 44279424 45070128 46577664 46739392 49488768 50605056 52581816 53416448 55931904 56558592 59039232 60093504 62512128 65985024 66419136 69866496 70109088 74233152 75907584 78718976 78872724 80124672 84837888 87980032 88558848 90140256 93478784 98977536 101210112 105163632 106832896 111863808 113117184 118078464 120187008 125024256 131970048 132838272 139732992 140218176 148466304 151815168 157745448 160249344 169675776 177117696 180280512 186957568 197955072 210327264 213665792 236156928 240374016 263940096 265676544 280436352 296932608 303630336 315490896 320498688 339351552 354235392 360561024 373915136 395910144 420654528 480748032 531353088 560872704 593865216 630981792 640997376 708470784 721122048 747830272 791820288 841309056 961496064 1062706176 1121745408 1187730432 1261963584 1442244096 1495660544 1682618112 1922992128 2125412352 2243490816 2375460864 2523927168 2884488192 3365236224 4486981632 5047854336 5768976384 6730472448 10095708672 13460944896 20191417344 40382834688
• Sum of all divisors σ(n): 153273556800
• Sum of proper divisors (its aliquot sum) s(n): 112890722112
• 40382834688 is an abundant number, because the sum of its proper divisors (112890722112) is greater than itself. Its abundance is 72507887424

Bases of 40382834688

• Binary: 100101100111000000010010100000000000₂
• Hexadecimal: 0x967012800
• Base-36: IJUWAO0

Squares and roots of 40382834688

• 40382834688 squared (40382834688²) is 1630773337438336057344
• 40382834688 cubed (40382834688³) is 65855250099370366397512440348672
• The square root of 40382834688 is 200954.8075762309
• The cube root of 40382834688 is 3430.8279043143

Scales and comparisons

• 40,382,834,688 seconds is equal to 1,284 years, 2 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 40,382,834,688 would take you about two thousand, five hundred sixty-eight 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 40382834688 cubic inches would be around 285.9 feet tall.

Recreational maths with 40382834688

• 40382834688 backwards is 88643828304
• 40382834688 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40382834688's digits is 54
• More coming soon!