968827434768

Names of 968827434768

• Cardinal: 968827434768 can be written as Nine hundred sixty-eight billion, eight hundred twenty-seven million, four hundred thirty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 9.68827434768 × 10¹¹

Factors of 968827434768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 185

Divisors of 968827434768

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 43 48 51 54 68 72 74 81 83 86 102 108 111 129 136 144 148 153 162 166 172 204 216 222 243 249 258 272 296 306 324 332 333 344 387 408 432 444 459 486 498 516 592 612 629 648 664 666 688 729 731 747 774 816 888 918 972 996 999 1032 1161 1224 1258 1296 1328 1332 1369 1377 1411 1458 1462 1494 1548 1591 1776 1836 1887 1944 1992 1998 2064 2193 2241 2322 2448 2516 2664 2738 2754 2822 2916 2924 2988 2997 3071 3096 3182 3483 3569 3672 3774 3888 3984 3996 4107 4131 4233 4386 4482 4644 4773 5032 5328 5476 5508 5644 5661 5832 5848 5976 5994 6142 6192 6364 6579 6723 6966 7138 7344 7548 7992 8214 8262 8466 8772 8964 8991 9213 9288 9546 10064 10449 10707 10952 11016 11288 11322 11664 11696 11952 11988 12284 12321 12393 12699 12728 13158 13446 13932 14276 14319 15096 15984 16428 16524 16932 16983 17544 17928 17982 18426 18576 19092 19737 20169 20898 21414 21904 22032 22576 22644 23273 23976 24568 24642 24786 25398 25456 26316 26892 26973 27047 27639 27864 28552 28638 30192 31347 32121 32856 33048 33864 33966 35088 35856 35964 36852 36963 38097 38184 39474 40338 41796 42828 42957 45288 46546 47952 49136 49284 49572 50796 50949 52207 52632 53784 53946 54094 55278 55728 57104 57276 58867 59211 60507 60673 62694 64242 65712 66096 67728 67932 69819 71928 73704 73926 76194 76368 78948 80676 81141 82917 83592 85656 85914 90576 93092 96363 98568 99144 101592 101898 104414 105264 107568 107892 108188 110556 110889 113627 114291 114552 117734 118422 121014 121346 125388 128484 128871 132053 135864 139638 143856 147408 147852 152388 152847 156621 157896 161352 162282 165834 167184 171312 171828 176601 177633 182019 186184 192726 197136 198288 203184 203796 208828 209457 215784 216376 221112 221778 227254 228582 229104 235468 236844 242028 242692 243423 248751 250776 256968 257742 264106 271728 279276 289089 295704 304776 305694 313242 315792 322704 324564 331668 332667 340881 342873 343656 353202 355266 364038 372368 385452 386613 396159 407592 417656 418914 431568 432752 442224 443556 454508 457164 458541 469863 470936 473688 484056 485384 486846 497502 501552 513936 515484 528212 529803 532899 546057 558552 578178 591408 609552 611388 626484 628371 649128 663336 665334 681762 685746 687312 706404 710532 728076 730269 746253 770904 773226 792318 815184 835312 837828 867267 887112 909016 914328 917082 939726 941872 947376 968112 970768 973692 995004 998001 1000739 1022643 1028619 1030968 1056424 1059606 1065798 1092114 1117104 1156356 1159839 1188477 1222776 1252968 1256742 1298256 1326672 1330668 1363524 1371492 1409589 1412808 1421064 1456152 1460538 1492506 1541808 1546452 1584636 1589409 1638171 1675656 1734534 1774224 1818032 1828656 1834164 1879452 1885113 1931659 1947384 1990008 1996002 2001478 2045286 2057238 2061936 2112848 2119212 2131596 2184228 2190807 2238759 2244901 2312712 2319678 2376954 2445552 2505936 2513484 2601801 2661336 2727048 2742984 2819178 2825616 2842128 2912304 2921076 2985012 3002217 3067929 3092904 3169272 3178818 3276342 3351312 3469068 3565431 3668328 3758904 3770226 3863318 3894768 3980016 3992004 4002956 4090572 4114476 4228767 4238424 4263192 4368456 4381614 4477518 4489802 4625424 4639356 4753908 4768227 4885961 4914513 5026968 5203602 5322672 5454096 5485968 5638356 5655339 5794977 5842152 5970024 6004434 6135858 6185808 6338544 6357636 6552684 6572421 6734703 6938136 7130862 7336656 7517808 7540452 7726636 7984008 8005912 8181144 8228952 8457534 8476848 8526384 8736912 8763228 8955036 8979604 9006651 9203787 9278712 9507816 9536454 9771922 9829026 10053936 10407204 10696293 11276712 11310678 11589954 11684304 11940048 12008868 12271716 12686301 12715272 13105368 13144842 13469406 13876272 14261724 14304681 14657883 14743539 15080904 15453272 15968016 16011824 16362288 16457904 16915068 16966017 17384931 17526456 17910072 17959208 18013302 18407574 18557424 19015632 19072908 19543844 19658052 19717263 20204109 20814408 21392586 22553424 22621356 23179908 24017736 24543432 25372602 25430544 26210736 26289684 26938812 27019953 27611361 28523448 28609362 29315766 29487078 30161808 30906544 32088879 33830136 33932034 34769862 35052912 35820144 35918416 36026604 36815148 38058903 38145816 39087688 39316104 39434526 40408218 41628816 42785172 42914043 43973649 44230617 45242712 46359816 48035472 49086864 50745204 52154793 52579368 53877624 54039906 55222722 57046896 57218724 58631532 58974156 60612327 64177758 67660272 67864068 69539724 72053208 73630296 76117806 76291632 78175376 78632208 78869052 80816436 81059859 82834083 83061337 85570344 85828086 87947298 88461234 90485424 92719632 96266637 101490408 104309586 105158736 107755248 108079812 110445444 114437448 117263064 117948312 121224654 128355516 131920947 135728136 139079448 144106416 147260592 152235612 156464379 157738104 161632872 162119718 165668166 166122674 171140688 171656172 175894596 176922468 181836981 192533274 202980816 208619172 216159624 220890888 228874896 234526128 235896624 242449308 243179577 249184011 256711032 263841894 271456272 278158896 304471224 312928758 315476208 323265744 324239436 331336332 332245348 343312344 351789192 353844936 363673962 385066548 395762841 417238344 432319248 441781776 469393137 484898616 486359154 498368022 513422064 527683788 545510943 608942448 625857516 648478872 662672664 664490696 686624688 703578384 707689872 727347924 729538731 747552033 770133096 791525682 834476688 938786274 969797232 972718308 996736044 1055367576 1091021886 1187288523 1251715032 1296957744 1325345328 1328981392 1408179411 1454695848 1459077462 1495104066 1540266192 1583051364 1636532829 1877572548 1945436616 1993472088 2110735152 2182043772 2242656099 2374577046 2503430064 2816358822 2909391696 2918154924 2990208132 3166102728 3273065658 3561865569 3755145096 3890873232 3986944176 4364087544 4485312198 4749154092 5632717644 5836309848 5980416264 6332205456 6546131316 6727968297 7123731138 7510290192 8728175088 8970624396 9498308184 11265435288 11672619696 11960832528 13092262632 13455936594 14247462276 17941248792 18996616368 20183904891 22530870576 26184525264 26911873188 28494924552 35882497584 40367809782 53823746376 56989849104 60551714673 80735619564 107647492752 121103429346 161471239128 242206858692 322942478256 484413717384 968827434768
• Sum of all divisors σ(n): 3171614691168
• Sum of proper divisors (its aliquot sum) s(n): 2202787256400
• 968827434768 is an abundant number, because the sum of its proper divisors (2202787256400) is greater than itself. Its abundance is 1233959821632

Bases of 968827434768

• Binary: 1110000110010010100111010111011100010000₂
• Hexadecimal: 0xE1929D7710
• Base-36: CD2MU900

Squares and roots of 968827434768

• 968827434768 squared (968827434768²) is 938626598359143295213824
• 968827434768 cubed (968827434768³) is 909367199493302636680135637971832832
• The square root of 968827434768 is 984290.3203669129
• The cube root of 968827434768 is 9894.9926545263

Scales and comparisons

• 968,827,434,768 seconds is equal to 30,805 years, 37 weeks, 1 day, 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 968,827,434,768 would take you about sixty-one thousand, six hundred eleven 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 968827434768 cubic inches would be around 824.6 feet tall.

Recreational maths with 968827434768

• 968827434768 backwards is 867434728869
• 968827434768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 968827434768's digits is 72
• More coming soon!