13048388440097920

Names of 13048388440097920

• Cardinal: 13048388440097920 can be written as Thirteen quadrillion, forty-eight trillion, three hundred eighty-eight billion, four hundred forty million, ninety-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.304838844009792 × 10¹⁶

Factors of 13048388440097920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4378604

Divisors of 13048388440097920

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 61 64 65 70 80 91 104 112 122 128 130 140 160 182 208 224 244 260 280 305 320 364 416 427 448 455 488 520 560 610 640 728 793 832 839 854 896 910 976 1040 1120 1220 1456 1586 1664 1678 1708 1820 1952 2080 2135 2240 2440 2912 3172 3356 3416 3640 3904 3965 4160 4195 4270 4480 4880 5551 5824 5873 6344 6712 6832 7280 7808 7930 8320 8390 8540 9760 10907 11102 11648 11746 12688 13424 13664 14560 15860 16780 17080 19520 21814 22204 23492 25376 26848 27328 27755 29120 29365 31720 33560 34160 39040 43628 44408 46984 50752 51179 53696 54535 54656 55510 58240 58730 63440 67120 68320 76349 87256 88816 93968 101504 102358 107392 109070 111020 117460 126880 134240 136640 152698 174512 177632 187936 204716 218140 222040 234920 253760 255895 268480 273280 305396 349024 355264 358253 375872 381745 409432 436280 444080 469840 507520 511790 536960 610792 665327 698048 710528 716506 751744 763490 818864 872560 888160 939680 1023580 1221584 1330654 1396096 1433012 1526980 1637728 1745120 1776320 1791265 1879360 2047160 2443168 2661308 2866024 3053960 3275456 3326635 3490240 3552640 3582530 3758720 4094320 4377677 4657289 4886336 5322616 5732048 6107920 6550912 6653270 6980480 7165060 8188640 8755354 9314578 9772672 10645232 11464096 12215840 13306540 14330120 16377280 17510708 18629156 21290464 21888385 22928192 23286445 24431680 26613080 28660240 30643739 32754560 35021416 37258312 42580928 43776770 45856384 46572890 48863360 53226160 56909801 57320480 61287478 70042832 74516624 85161856 87553540 93145780 106452320 113819602 114640960 122574956 140085664 149033248 153218695 175107080 186291560 212904640 227639204 229281920 245149912 267038297 280171328 284549005 298066496 306437390 350214160 372583120 398368607 425809280 455278408 490299824 534076594 560342656 569098010 596132992 612874780 700428320 745166240 796737214 910556816 980599648 1068153188 1138196020 1225749560 1335191485 1400856640 1490332480 1593474428 1821113632 1869268079 1961199296 1991843035 2136306376 2276392040 2451499120 2670382970 2801713280 2980664960 3186948856 3471497861 3642227264 3672871003 3738536158 3922398592 3983686070 4272612752 4552784080 4902998240 5340765940 6373897712 6942995722 7284454528 7345742006 7477072316 7967372140 8545225504 9105568160 9346340395 9805996480 10681531880 12747795424 13885991444 14691484012 14954144632 15934744280 17090451008 17357489305 18211136320 18364355015 18692680790 19611992960 21363063760 24300485027 25495590848 25710097021 27771982888 29382968024 29908289264 31869488560 34180902016 34714978610 36422272640 36728710030 37385361580 42726127520 47747323039 48600970054 50991181696 51420194042 55543965776 58765936048 59816578528 63738977120 69429957220 73457420060 74770723160 85452255040 95494646078 97201940108 102840388084 111087931552 117531872096 119633157056 121502425135 127477954240 128550485105 138859914440 146914840120 149541446320 170904510080 190989292156 194403880216 205680776168 222175863104 224045131183 235063744192 238736615195 239266314112 243004850270 254955908480 257100970210 277719828880 293829680240 299082892640 334231261273 381978584312 388807760432 411361552336 444351726208 448090262366 470127488384 477473230390 486009700540 514201940420 555439657760 587659360480 598165785280 668462522546 763957168624 777615520864 822723104672 896180524732 954946460780 972019401080 1028403880840 1110879315520 1120225655915 1175318720960 1196331570560 1336925045092 1527914337248 1555231041728 1568315918281 1645446209344 1671156306365 1792361049464 1909892921560 1944038802160 2056807761680 2221758631040 2240451311830 2350637441920 2673850090184 2912586705379 3055828674496 3110462083456 3136631836562 3290892418688 3342312612730 3584722098928 3819785843120 3888077604320 4113615523360 4480902623660 5347700180368 5825173410758 6111657348992 6273263673124 6684625225460 7169444197856 7639571686240 7776155208640 7841579591405 8227231046720 8961805247320 10695400360736 11650346821516 12546527346248 13369250450920 14338888395712 14562933526895 15279143372480 15552310417280 15683159182810 16454462093440 17923610494640 20388106937653 21390800721472 23300693643032 25093054692496 26738500901840 28677776791424 29125867053790 30558286744960 31366318365620 35847220989280 40776213875306 42781601442944 46601387286064 50186109384992 53477001803680 58251734107580 62732636731240 71694441978560 81552427750612 93202774572128 100372218769984 101940534688265 106954003607360 116503468215160 125465273462480 143388883957120 163104855501224 186405549144256 200744437539968 203881069376530 213908007214720 233006936430320 250930546924960 326209711002448 372811098288512 407762138753060 466013872860640 501861093849920 652419422004896 815524277506120 932027745721280 1003722187699840 1304838844009792 1631048555012240 1864055491442560 2609677688019584 3262097110024480 6524194220048960 13048388440097920
• Sum of all divisors σ(n): 39068275620326400
• Sum of proper divisors (its aliquot sum) s(n): 26019887180228480
• 13048388440097920 is an abundant number, because the sum of its proper divisors (26019887180228480) is greater than itself. Its abundance is 12971498740130560

Bases of 13048388440097920

• Binary: 101110010110110111000010101101110111010000010010000000₂
• Hexadecimal: 0x2E5B70ADDD0480
• Base-36: 3KH9MW9TTOG

Squares and roots of 13048388440097920

• 13048388440097920 squared (13048388440097920²) is 170260440883681029992099188326400
• 13048388440097920 cubed (13048388440097920³) is 2221624368632598838767530386748407059336921088000
• The square root of 13048388440097920 is 114229542.7641112463
• The cube root of 13048388440097920 is 235424.8445205705

Scales and comparisons

• 13,048,388,440,097,920 seconds is equal to 414,898,391 years, 4 weeks, 23 hours, 38 minutes, 40 seconds.
• To count from 1 to 13,048,388,440,097,920 would take you about one billion, two hundred forty-four million, six hundred ninety-five thousand, one hundred seventy-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 13048388440097920 cubic inches would be around 19618.7 feet tall.

Recreational maths with 13048388440097920

• 13048388440097920 backwards is 02979004488384031
• 13048388440097920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13048388440097920's digits is 70
• More coming soon!