107742325824

Names of 107742325824

• Cardinal: 107742325824 can be written as One hundred seven billion, seven hundred forty-two million, three hundred twenty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.07742325824 × 10¹¹

Factors of 107742325824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 66

Divisors of 107742325824

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 37 42 48 49 51 54 56 63 64 68 72 74 84 96 98 102 108 111 112 119 126 136 144 147 148 153 168 189 192 196 204 216 222 224 238 252 259 272 288 289 294 296 306 333 336 343 357 378 392 408 432 441 444 448 459 476 504 518 544 576 578 588 592 612 629 666 672 686 714 756 777 784 816 833 864 867 882 888 918 952 999 1008 1029 1036 1071 1088 1156 1176 1184 1224 1258 1323 1332 1344 1372 1428 1512 1554 1568 1632 1666 1728 1734 1764 1776 1813 1836 1887 1904 1998 2016 2023 2058 2072 2142 2312 2331 2352 2368 2448 2499 2516 2601 2646 2664 2744 2856 3024 3087 3108 3136 3213 3264 3332 3468 3528 3552 3626 3672 3774 3808 3996 4032 4046 4116 4144 4284 4403 4624 4662 4704 4896 4913 4998 5032 5202 5292 5328 5439 5488 5661 5712 5831 6048 6069 6174 6216 6426 6664 6936 6993 7056 7104 7252 7344 7497 7548 7616 7803 7992 8092 8232 8288 8568 8806 9248 9261 9324 9408 9792 9826 9996 10064 10404 10584 10656 10693 10878 10976 11322 11424 11662 12096 12138 12348 12432 12691 12852 13209 13328 13872 13986 14112 14161 14504 14688 14739 14994 15096 15606 15984 16184 16317 16464 16576 16983 17136 17493 17612 18207 18496 18522 18648 19652 19992 20128 20808 21168 21312 21386 21756 21952 22491 22644 22848 23324 24276 24696 24864 25382 25704 26418 26656 27744 27972 28224 28322 29008 29376 29478 29988 30192 30821 31212 31968 32079 32368 32634 32928 33966 34272 34391 34986 35224 36414 37044 37296 38073 39304 39627 39984 40256 41616 42336 42483 42772 43512 44217 44982 45288 46648 48552 48951 49392 49728 50764 51408 52479 52836 53312 54621 55488 55944 56644 58016 58956 59976 60384 61642 62424 63936 64158 64736 65268 65856 67932 68544 68782 69972 70448 72828 74088 74592 74851 76146 78608 79254 79968 83232 84672 84966 85544 87024 88434 89964 90576 92463 93296 96237 97104 97902 98784 99127 101528 102816 103173 104958 105672 109242 111888 113288 114219 116032 117912 118881 119952 120768 123284 124848 127449 128316 129472 130536 132651 135864 137564 139944 140896 145656 148176 149184 149702 152292 157216 157437 158508 159936 166464 169932 171088 174048 176868 179928 181152 181781 184926 186592 192474 194208 195804 197568 198254 203056 205632 206346 209916 211344 215747 218484 223776 224553 226576 228438 235824 237762 239904 240737 246568 249696 254898 256632 261072 265302 271728 275128 277389 279888 281792 288711 291312 296352 297381 299404 304584 309519 314432 314874 317016 339864 342176 342657 348096 353736 359856 362304 363562 369852 373184 382347 384948 388416 391608 396508 406112 412692 419832 422688 431494 436968 447552 449106 453152 456876 471648 475524 479808 481474 493136 499392 509796 513264 522144 523957 530604 543456 545343 550256 554778 559776 577422 582624 592704 594762 598808 609168 619038 629748 634032 647241 673659 679728 684352 685314 707472 719712 722211 727124 739704 764694 769896 783216 793016 812224 825384 832167 839664 845376 862988 873936 892143 898212 906304 913752 928557 943296 951048 962948 986272 1019592 1026528 1044288 1047914 1061208 1086912 1090686 1100512 1109556 1119552 1154844 1165248 1189524 1197616 1218336 1238076 1259496 1268064 1272467 1294482 1347318 1359456 1370628 1414944 1439424 1444422 1454248 1479408 1529388 1539792 1566432 1571871 1586032 1636029 1650768 1664334 1679328 1685159 1725976 1747872 1784286 1796424 1827504 1857114 1902096 1925896 1941723 1972544 2020977 2039184 2053056 2095828 2122416 2166633 2181372 2201024 2219112 2309688 2379048 2395232 2436672 2476152 2518992 2536128 2544934 2588964 2676429 2694636 2718912 2741256 2829888 2888844 2908496 2958816 3058776 3079584 3132864 3143742 3172064 3272058 3301536 3328668 3358656 3370318 3451952 3495744 3568572 3592848 3655008 3667699 3714228 3804192 3817401 3851792 3883446 4041954 4078368 4191656 4244832 4333266 4362744 4438224 4619376 4715613 4758096 4790464 4908087 4952304 5037984 5055477 5089868 5177928 5352858 5389272 5482512 5777688 5816992 5825169 5917632 6117552 6159168 6287484 6344128 6499899 6544116 6603072 6657336 6740636 6903904 7137144 7185696 7310016 7335398 7428456 7608384 7634802 7703584 7766892 8083908 8156736 8383312 8489664 8666532 8725488 8876448 8907269 9238752 9431226 9516192 9816174 9904608 10075968 10110954 10179736 10355856 10705716 10778544 10965024 11003097 11452203 11555376 11633984 11650338 12235104 12574968 12999798 13088232 13314672 13481272 13807808 14146839 14274288 14371392 14670796 14856912 15166431 15269604 15407168 15533784 16167816 16766624 17333064 17450976 17752896 17814538 18477504 18862452 19032384 19632348 19809216 20221908 20359472 20711712 21411432 21557088 21930048 22006194 22904406 23110752 23300676 24470208 25149936 25999596 26176464 26629344 26721807 26962544 28293678 28548576 29341592 29713824 30332862 30539208 31067568 32335632 33009291 33533248 34356609 34666128 34901952 35629076 37724904 39264696 40443816 40718944 41423424 42822864 43114176 44012388 45499293 45808812 46221504 46601352 50299872 51999192 52352928 53258688 53443614 53925088 56587356 57097152 58683184 59427648 60665724 61078416 62135136 62350883 64671264 66018582 68713218 69332256 71258152 75449808 78529392 80165421 80887632 81437888 85645728 88024776 90998586 91617624 93202704 99027873 100599744 103998384 104705856 106887228 107850176 113174712 117366368 121331448 122156832 124270272 124701766 129342528 132037164 137426436 138664512 142516304 150899616 157058784 160330842 161775264 171291456 176049552 181997172 183235248 186405408 187052649 198055746 207996768 213774456 226349424 234732736 240496263 242662896 244313664 249403532 264074328 274852872 285032608 301799232 314117568 320661684 323550528 352099104 363994344 366470496 372810816 374105298 396111492 415993536 427548912 452698848 480992526 485325792 498807064 528148656 549705744 561157947 570065216 641323368 704198208 727988688 732940992 748210596 792222984 855097824 905397696 961985052 970651584 997614128 1056297312 1099411488 1122315894 1282646736 1455977376 1496421192 1584445968 1683473841 1710195648 1923970104 1995228256 2112594624 2198822976 2244631788 2565293472 2911954752 2992842384 3168891936 3366947682 3847940208 3990456512 4489263576 5130586944 5985684768 6337783872 6733895364 7695880416 8978527152 11971369536 13467790728 15391760832 17957054304 26935581456 35914108608 53871162912 107742325824
• Sum of all divisors σ(n): 403067520000
• Sum of proper divisors (its aliquot sum) s(n): 295325194176
• 107742325824 is an abundant number, because the sum of its proper divisors (295325194176) is greater than itself. Its abundance is 187582868352

Bases of 107742325824

• Binary: 1100100010101111100010110110001000000₂
• Hexadecimal: 0x1915F16C40
• Base-36: 1DHUZYO0

Squares and roots of 107742325824

• 107742325824 squared (107742325824²) is 11608408773964977278976
• 107742325824 cubed (107742325824³) is 1250716960422714950356189137076224
• The square root of 107742325824 is 328241.2616110291
• The cube root of 107742325824 is 4758.4128041505

Scales and comparisons

• 107,742,325,824 seconds is equal to 3,425 years, 45 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 107,742,325,824 would take you about six thousand, eight hundred fifty-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 107742325824 cubic inches would be around 396.5 feet tall.

Recreational maths with 107742325824

• 107742325824 backwards is 428523247701
• The number of decimal digits it has is: 12
• The sum of 107742325824's digits is 45
• More coming soon!