13001258208960

Names of 13001258208960

• Cardinal: 13001258208960 can be written as Thirteen trillion, one billion, two hundred fifty-eight million, two hundred eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.300125820896 × 10¹³

Factors of 13001258208960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 465072

Divisors of 13001258208960

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 73 76 80 84 90 95 96 105 112 114 120 126 133 140 144 146 152 160 168 171 180 190 192 210 219 224 228 240 252 266 280 285 288 292 304 315 320 336 342 360 365 380 399 420 438 448 456 480 504 511 532 560 570 576 584 608 630 657 665 672 684 720 730 760 798 840 855 876 912 960 1008 1022 1064 1095 1120 1140 1168 1197 1216 1260 1314 1330 1344 1368 1387 1440 1460 1520 1533 1596 1680 1710 1752 1824 1995 2016 2044 2128 2190 2240 2280 2336 2394 2520 2555 2628 2660 2736 2774 2880 2920 3040 3066 3192 3285 3360 3420 3504 3648 3990 4032 4088 4161 4256 4380 4560 4599 4672 4788 5040 5110 5256 5320 5472 5548 5840 5985 6080 6132 6384 6570 6720 6840 6935 7008 7665 7980 8176 8322 8512 8760 9120 9198 9576 9709 10080 10220 10512 10640 10944 11096 11680 11970 12264 12483 12768 13140 13680 13870 14016 15330 15960 16352 16644 17520 18240 18396 19152 19418 20160 20440 20805 21024 21280 22192 22995 23360 23940 24528 24966 25536 26280 27360 27740 29127 30660 31920 32704 33288 35040 36792 38304 38836 40880 41610 42048 42560 44384 45990 47880 48545 49056 49932 52560 54720 55480 58254 61320 62415 63840 66576 70080 73584 76608 77672 81760 83220 87381 88768 91980 95760 97090 98112 99864 105120 110960 116508 122640 124830 127680 133152 145635 147168 155344 163520 166440 174762 183960 191520 194180 199728 210240 221920 233016 245280 249660 266304 291270 294336 310688 332880 349524 367920 383040 388360 399456 436905 443840 464963 466032 490560 499320 582540 621376 665760 699048 735840 776720 798912 873810 929926 932064 998640 1165080 1331520 1394889 1398096 1471680 1553440 1747620 1859852 1864128 1997280 2324815 2330160 2789778 2796192 3106880 3254741 3495240 3719704 3994560 4184667 4649630 4660320 5579556 5592384 6509482 6974445 6990480 7439408 8369334 8834297 9299260 9320640 9764223 11159112 13018964 13948890 13980960 14878816 16273705 16738668 17668594 18598520 19528446 20923335 22318224 26037928 26502891 27897780 27961920 29292669 29757632 32547410 33477336 33942299 35337188 37197040 39056892 41846670 44171485 44636448 48821115 52075856 53005782 55795560 58585338 61840079 65094820 66954672 67884598 70674376 74394080 78113784 79508673 83693340 88342970 89272896 97642230 101826897 104151712 106011564 111591120 117170676 123680158 130189640 132514455 133909344 135769196 141348752 146463345 148788160 156227568 159017346 167386680 169711495 176685940 185520237 195284460 203653794 208303424 212023128 223182240 234341352 237596093 247360316 260379280 265028910 267818688 271538392 282697504 292926690 305480691 309200395 312455136 318034692 334773360 339422990 353371880 371040474 390568920 397543365 407307588 424046256 446364480 468682704 475192186 494720632 509134485 520758560 530057820 543076784 556560711 565395008 585853380 610961382 618400790 624910272 636069384 644903681 669546720 678845980 706743760 712788279 742080948 781137840 795086730 814615176 848092512 927601185 937365408 950384372 989441264 1018268970 1041517120 1060115640 1086153568 1113121422 1171706760 1187980465 1221922764 1236801580 1272138768 1289807362 1339093440 1357691960 1413487520 1425576558 1484161896 1527403455 1562275680 1590173460 1629230352 1696185024 1855202370 1874730816 1900768744 1934711043 1978882528 2036537940 2120231280 2138364837 2172307136 2226242844 2343413520 2375960930 2443845528 2473603160 2544277536 2579614724 2715383920 2782803555 2826975040 2851153116 2968323792 3054806910 3124551360 3180346920 3224518405 3258460704 3563941395 3710404740 3801537488 3869422086 3957765056 4073075880 4240462560 4276729674 4452485688 4514325767 4686827040 4751921860 4887691056 4947206320 5088555072 5159229448 5430767840 5565607110 5702306232 5804133129 5936647584 6109613820 6360693840 6449036810 6516921408 7127882790 7420809480 7603074976 7738844172 8146151760 8480925120 8553459348 8904971376 9028651534 9373654080 9503843720 9673555215 9775382112 9894412640 10318458896 10691824185 10861535680 11131214220 11404612464 11608266258 11873295168 12219227640 12721387680 12898073620 13542977301 14255765580 14841618960 15206149952 15477688344 16292303520 17106918696 17809942752 18057303068 19007687440 19347110430 19550764224 19788825280 20636917792 21383648370 22262428440 22571628835 22809224928 23216532516 24438455280 25442775360 25796147240 27085954602 28511531160 29020665645 29683237920 30955376688 32584607040 34213837392 35619885504 36114606136 38015374880 38694220860 40628931903 41273835584 42767296740 44524856880 45143257670 45618449856 46433065032 48876910560 51592294480 54171909204 57023062320 58041331290 59366475840 61910753376 67714886505 68427674784 72229212272 76030749760 77388441720 81257863806 85534593480 89049713760 90286515340 92866130064 97753821120 103184588960 108343818408 114046124640 116082662580 123821506752 135429773010 136855349568 144458424544 154776883440 162515727612 171069186960 178099427520 180573030680 185732260128 203144659515 206369177920 216687636816 228092249280 232165325160 270859546020 288916849088 309553766880 325031455224 342138373920 361146061360 371464520256 406289319030 433375273632 464330650320 541719092040 619107533760 650062910448 684276747840 722292122720 812578638060 866750547264 928661300640 1083438184080 1300125820896 1444584245440 1625157276120 1857322601280 2166876368160 2600251641792 3250314552240 4333752736320 6500629104480 13001258208960
• Sum of all divisors σ(n): 54534251266560
• Sum of proper divisors (its aliquot sum) s(n): 41532993057600
• 13001258208960 is an abundant number, because the sum of its proper divisors (41532993057600) is greater than itself. Its abundance is 28531734848640

Bases of 13001258208960

• Binary: 10111101001100010111011000001000111011000000₂
• Hexadecimal: 0xBD317608EC0
• Base-36: 4LWP1GDS0

Squares and roots of 13001258208960

• 13001258208960 squared (13001258208960²) is 169032715016049787024281600
• 13001258208960 cubed (13001258208960³) is 2197637973685213551701500842846683136000
• The square root of 13001258208960 is 3605725.7534316167
• The cube root of 13001258208960 is 23514.1054348823

Scales and comparisons

• 13,001,258,208,960 seconds is equal to 413,399 years, 41 weeks, 2 days, 13 hours, 36 minutes.
• To count from 1 to 13,001,258,208,960 would take you about one million, thirty-three thousand, four hundred ninety-nine 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 13001258208960 cubic inches would be around 1959.5 feet tall.

Recreational maths with 13001258208960

• 13001258208960 backwards is 06980285210031
• 13001258208960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13001258208960's digits is 45
• More coming soon!