1681838157917008

Names of 1681838157917008

• Cardinal: 1681838157917008 can be written as One quadrillion, six hundred eighty-one trillion, eight hundred thirty-eight billion, one hundred fifty-seven million, nine hundred seventeen thousand and eight.

Scientific notation

• Scientific notation: 1.681838157917008 × 10¹⁵

Factors of 1681838157917008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 402

Divisors of 1681838157917008

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 151 169 182 196 208 229 302 338 343 364 392 458 604 637 676 686 728 784 916 1057 1183 1208 1274 1352 1372 1456 1603 1832 1963 2114 2366 2416 2548 2704 2744 2977 3206 3664 3926 4228 4459 4732 5096 5488 5954 6412 7399 7852 8281 8456 8918 9464 10192 11221 11908 12824 13741 14798 15704 16562 16912 17836 18928 20839 22442 23816 25519 25648 27482 29596 31408 33124 34579 35672 38701 41678 44884 47632 51038 51793 52441 54964 57967 59192 66248 69158 71344 77402 78547 83356 89768 96187 102076 103586 104882 109928 115934 118384 132496 138316 145873 154804 157094 166712 178633 179536 192374 204152 207172 209764 219856 231868 242053 270907 276632 291746 309608 314188 333424 357266 367087 384748 408304 414344 419528 449527 463736 484106 541814 553264 583492 619216 628376 673309 681733 714532 734174 769496 828688 839056 899054 927472 968212 1021111 1083628 1166984 1250431 1256752 1346618 1363466 1429064 1468348 1538992 1694371 1798108 1896349 1936424 2042222 2167256 2333968 2500862 2569609 2693236 2726932 2858128 2936696 3146689 3388742 3596216 3792698 3872848 4084444 4334512 4772131 5001724 5139218 5386472 5453864 5843851 5873392 6293378 6777484 7192432 7585396 7918591 8168888 8753017 8862529 9544262 10003448 10278436 10772944 10907728 11687702 11860597 12008989 12586756 13274443 13554968 15170792 15837182 16337776 17506034 17725058 17987263 19088524 20006896 20556872 22026823 23375404 23721194 24017978 25173512 26548886 27109936 30341584 31674364 33404917 35012068 35450116 35974526 38177048 40906957 41113744 44053646 46750808 47442388 48035956 50347024 53097772 55430137 62037703 63348728 66809834 70024136 70900232 71949052 76354096 81813914 84062923 88107292 93501616 94884776 96071912 102941683 106195544 110860274 124075406 126697456 133619668 140048272 141800464 143898104 154187761 156116857 163627828 168125846 176214584 189769552 192143824 205883366 212391088 221720548 233834419 248150812 267239336 286348699 287796208 308375522 312233714 327255656 336251692 352429168 388010959 411766732 434263921 443441096 467668838 496301624 534478672 572697398 588440461 616751044 624467428 654511312 672503384 720591781 776021918 823533464 868527842 886882192 935337676 992603248 1092817999 1145394796 1176880922 1233502088 1248934856 1338241879 1345006768 1441183562 1552043836 1647066928 1737055684 1813357339 1870675352 2004440893 2029519141 2185635998 2290789592 2353761844 2467004176 2497869712 2676483758 2716076713 2882367124 3039847447 3104087672 3474111368 3626714678 3741350704 4008881786 4059038282 4119083227 4371271996 4581579184 4707523688 5044142467 5352967516 5432153426 5764734248 6079694894 6208175344 6948222736 7253429356 7649725993 8017763572 8118076564 8238166454 8742543992 9367693153 9415047376 10088284934 10705935032 10864306852 11529468496 12159389788 12693501373 14206633987 14506858712 15299451986 16035527144 16236153128 16476332908 17485087984 18735386306 20176569868 21411870064 21728613704 23573645407 24318779576 25387002746 28413267974 29013717424 30598903972 32071054288 32472306256 32952665816 35308997269 37470772612 40353139736 43457227408 47147290814 48637559152 50774005492 53548081951 56826535948 61197807944 65573852071 65905331632 70617994538 74941545224 80706279472 88854509611 94294581628 99446437909 101548010984 107096163902 113653071896 122395615888 131147704142 141235989076 149883090448 165015517849 177709019222 188589163256 198892875818 203096021968 214192327804 227306143792 262295408284 282471978152 306457390291 330031035698 355418038444 377178326512 397785751636 428384655608 459016964497 524590816568 564943956304 612914780582 621981567277 660062071396 696125065363 710836076888 795571503272 856769311216 918033928994 1049181633136 1155108624943 1225829561164 1243963134554 1320124142792 1392250130726 1421672153776 1591143006544 1836067857988 2145201732037 2310217249886 2451659122328 2487926269108 2640248285584 2784500261452 3672135715976 4290403464074 4620434499772 4903318244656 4975852538216 5569000522904 7344271431952 8085760374601 8580806928148 9240868999544 9951705076432 11138001045808 15016412124259 16171520749202 17161613856296 18481737999088 30032824248518 32343041498404 34323227712592 60065648497036 64686082996808 105114884869813 120131296994072 129372165993616 210229769739626 240262593988144 420459539479252 840919078958504 1681838157917008
• Sum of all divisors σ(n): 4160288468544000
• Sum of proper divisors (its aliquot sum) s(n): 2478450310626992
• 1681838157917008 is an abundant number, because the sum of its proper divisors (2478450310626992) is greater than itself. Its abundance is 796612152709984

Bases of 1681838157917008

• Binary: 101111110011001111101110101111110001110101101010000₂
• Hexadecimal: 0x5F99F75F8EB50
• Base-36: GK5TS7G6DS

Squares and roots of 1681838157917008

• 1681838157917008 squared (1681838157917008²) is 2828579589425674739189415672064
• 1681838157917008 cubed (1681838157917008³) is 4757213086201323603979841669045641832656064512
• The square root of 1681838157917008 is 41010220.1642103843
• The cube root of 1681838157917008 is 118921.7798679635

Scales and comparisons

• 1,681,838,157,917,008 seconds is equal to 53,477,251 years, 8 weeks, 8 hours, 3 minutes, 28 seconds.
• To count from 1 to 1,681,838,157,917,008 would take you about one hundred sixty million, four hundred thirty-one thousand, seven hundred fifty-three 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 1681838157917008 cubic inches would be around 9910.1 feet tall.

Recreational maths with 1681838157917008

• 1681838157917008 backwards is 8007197518381861
• The number of decimal digits it has is: 16
• The sum of 1681838157917008's digits is 73
• More coming soon!