968414117440

Names of 968414117440

• Cardinal: 968414117440 can be written as Nine hundred sixty-eight billion, four hundred fourteen million, one hundred seventeen thousand, four hundred forty.

Scientific notation

• Scientific notation: 9.6841411744 × 10¹¹

Factors of 968414117440

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 517

Divisors of 968414117440

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 20 22 28 32 34 35 40 44 53 55 56 64 68 70 77 80 85 88 106 110 112 119 136 140 154 160 170 176 181 187 212 220 224 238 241 265 272 280 308 320 340 352 362 371 374 385 424 440 448 476 482 530 544 560 583 595 616 680 704 724 742 748 770 848 880 901 905 935 952 964 1060 1088 1120 1166 1190 1205 1232 1267 1309 1360 1448 1484 1496 1540 1687 1696 1760 1802 1810 1855 1870 1904 1928 1991 2120 2240 2332 2380 2410 2464 2534 2618 2651 2720 2896 2915 2968 2992 3077 3080 3374 3392 3520 3604 3620 3710 3740 3808 3856 3982 4081 4097 4240 4505 4664 4760 4820 4928 5068 5236 5302 5440 5792 5830 5936 5984 6154 6160 6307 6335 6545 6748 7208 7240 7420 7480 7616 7712 7964 8162 8194 8435 8480 9010 9328 9520 9593 9640 9911 9955 10136 10472 10604 11584 11660 11872 11968 12308 12320 12614 12670 12773 13090 13255 13496 13937 14416 14480 14840 14960 15385 15424 15928 16324 16388 16870 16960 18020 18557 18656 19040 19186 19280 19822 19910 20272 20405 20485 20944 21208 21539 23320 23744 24616 24640 25228 25340 25546 26180 26510 26992 27874 28679 28832 28960 29680 29920 30770 31535 31856 32648 32776 33740 33847 36040 37114 37312 38080 38372 38560 39644 39820 40544 40810 40970 41888 42416 43078 43621 45067 46640 47965 49232 49555 50456 50680 51092 52360 53020 53984 55748 57358 57664 57920 59360 59840 61540 63070 63712 63865 65296 65552 67151 67480 67694 69377 69685 72080 74228 76744 77120 79288 79640 81088 81620 81940 83776 84832 86156 87242 89411 90134 92785 93280 95930 98464 99110 100912 101360 102184 104720 105523 106040 107695 107968 111496 114716 118720 123080 126140 127424 127730 130592 131104 134302 134960 135388 138754 139370 140503 143395 144160 148456 153488 158576 159280 163081 163240 163880 169235 169664 172312 174484 178822 180268 185570 186560 191860 196928 198220 201824 202720 204368 209440 211046 212080 215390 217141 218105 222992 225335 229432 236929 246160 252280 255460 261184 262208 268604 269920 270776 277508 278740 281006 286790 288320 296912 305347 306976 315469 317152 318560 326162 326480 327760 335755 338470 344624 346885 348968 357644 360536 371140 383720 396440 403648 405440 408736 418880 422092 424160 430780 434282 436210 445984 447055 450670 458864 473858 479831 492320 504560 510920 527615 537208 539840 541552 555016 557480 562012 573580 593824 610694 613952 630938 634304 637120 652324 652960 655520 671510 676940 689248 693770 697936 702515 715288 721072 738661 741557 742280 767440 792880 815405 817472 844184 848320 861560 868564 872420 891968 894110 901340 917728 947716 959662 983521 984640 1009120 1021840 1055230 1074416 1083104 1085705 1110032 1114960 1124024 1141567 1147160 1184645 1187648 1221388 1261876 1304648 1305920 1311040 1343020 1353880 1378496 1387540 1395872 1405030 1430576 1442144 1477322 1483114 1484560 1519987 1526735 1534880 1577345 1585760 1630810 1688368 1723120 1737128 1744840 1788220 1793891 1802680 1835456 1895432 1919324 1967042 2018240 2043680 2110460 2148832 2166208 2171410 2220064 2229920 2248048 2283134 2294320 2311913 2369290 2388551 2399155 2442776 2523752 2609296 2686040 2707760 2775080 2791744 2810060 2861152 2884288 2954644 2966228 2969120 3039974 3053470 3069760 3154690 3171520 3261620 3358817 3376736 3446240 3474256 3489680 3576440 3587782 3605360 3693305 3707785 3790864 3838648 3934084 4087360 4220920 4297664 4342820 4440128 4459840 4496096 4566268 4588640 4623826 4738580 4777102 4798310 4885552 4917605 5047504 5190899 5218592 5372080 5415520 5550160 5620120 5707835 5722304 5909288 5932456 5938240 6079948 6106940 6309380 6523240 6717634 6753472 6892480 6948512 6979360 7152880 7175564 7210720 7386610 7415570 7581728 7599935 7677296 7868168 8157127 8441840 8685640 8969455 8992192 9132536 9177280 9247652 9477160 9554204 9596620 9771104 9835210 10095008 10381798 10437184 10744160 10831040 11100320 11240240 11415670 11559565 11818576 11864912 11942755 12159896 12213880 12557237 12618760 13046480 13435268 13897024 13958720 14305760 14351128 14421440 14773220 14831140 15163456 15199870 15354592 15736336 16183391 16314254 16719857 16794085 16883680 17371280 17938910 18265072 18495304 18954320 19108408 19193240 19542208 19670420 20190016 20763596 21488320 22200640 22480480 22831340 23119130 23637152 23729824 23885510 24319792 24427760 25114474 25237520 25431043 25954495 26092960 26870536 28611520 28702256 29546440 29662280 30399740 30709184 31472672 32366782 32628508 33439714 33588170 33767360 34742560 35877820 36530144 36990608 37908640 38216816 38386480 39302521 39340840 40785635 41527192 44960960 45662680 46238260 47274304 47459648 47771020 48639584 48855520 50228948 50475040 50862086 51908990 52185920 53741072 57099889 57404512 59092880 59324560 60799480 62786185 62945344 64733564 65257016 66879428 67176340 69485120 71755640 73060288 73981216 75817280 76433632 76772960 78605042 78681680 80916955 81571270 83054384 83599285 91325360 92476520 95542040 97279168 97711040 100457896 100950080 101724172 103817980 107482144 114199778 114809024 118185760 118649120 121598960 125572370 127155215 129467128 130514032 133758856 134352680 143511280 147962432 152867264 153545920 157210084 157363360 161833910 163142540 166108768 167198570 178017301 182650720 184953040 191084080 196512605 200915792 203448344 207635960 214964288 228399556 236371520 237298240 243197920 251144740 254310430 258934256 261028064 267517712 268705360 275117647 285499445 287022560 314420168 314726720 323667820 326285080 332217536 334397140 356034602 365301440 369906080 382168160 393025210 401831584 406896688 415271920 432327731 456799112 486395840 502289480 508620860 517868512 522056128 535035424 537410720 550235294 570998890 574045120 628840336 647335640 652570160 668794280 712069204 739812160 764336320 786050420 803663168 813793376 830543840 864655462 890086505 913598224 1004578960 1017241720 1035737024 1070070848 1074821440 1100470588 1141997780 1257680672 1294671280 1305140320 1337588560 1375588235 1424138408 1572100840 1627586752 1661087680 1729310924 1780173010 1827196448 2009157920 2034483440 2161638655 2200941176 2283995560 2515361344 2589342560 2610280640 2675177120 2751176470 2848276816 3026294117 3144201680 3458621848 3560346020 3654392896 4018315840 4068966880 4323277310 4401882352 4567991120 5178685120 5350354240 5502352940 5696553632 6052588234 6288403360 6917243696 7120692040 8137933760 8646554620 8803764704 9135982240 11004705880 11393107264 12105176468 12576806720 13834487392 14241384080 15131470585 17293109240 17607529408 18271964480 22009411760 24210352936 27668974784 28482768160 30262941170 34586218480 44018823520 48420705872 56965536320 60525882340 69172436960 88037647040 96841411744 121051764680 138344873920 193682823488 242103529360 484207058720 968414117440
• Sum of all divisors σ(n): 3131693300736
• Sum of proper divisors (its aliquot sum) s(n): 2163279183296
• 968414117440 is an abundant number, because the sum of its proper divisors (2163279183296) is greater than itself. Its abundance is 1194865065856

Bases of 968414117440

• Binary: 1110000101111001111110101011111001000000₂
• Hexadecimal: 0xE179FABE40
• Base-36: CCVSRFB4

Squares and roots of 968414117440

• 968414117440 squared (968414117440²) is 937825902857094112153600
• 968414117440 cubed (968414117440³) is 908203844027723969064248921718784000
• The square root of 968414117440 is 984080.3409478315
• The cube root of 968414117440 is 9893.5853335033

Scales and comparisons

• 968,414,117,440 seconds is equal to 30,792 years, 29 weeks, 5 days, 17 hours, 30 minutes, 40 seconds.
• To count from 1 to 968,414,117,440 would take you about sixty-one thousand, five hundred eighty-five 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 968414117440 cubic inches would be around 824.5 feet tall.

Recreational maths with 968414117440

• 968414117440 backwards is 044711414869
• The number of decimal digits it has is: 12
• The sum of 968414117440's digits is 49
• More coming soon!