13348437127168

Names of 13348437127168

• Cardinal: 13348437127168 can be written as Thirteen trillion, three hundred forty-eight billion, four hundred thirty-seven million, one hundred twenty-seven thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3348437127168 × 10¹³

Factors of 13348437127168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 90

Divisors of 13348437127168

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 4 8 11 13 16 22 23 26 32 41 44 46 52 64 82 88 92 104 121 128 143 164 169 176 184 208 242 253 256 286 299 328 338 352 368 416 451 484 506 512 533 572 598 656 676 704 736 832 902 943 968 1012 1024 1066 1144 1196 1312 1352 1408 1472 1573 1664 1804 1859 1886 1936 2024 2048 2132 2197 2288 2392 2624 2704 2783 2816 2944 3146 3289 3328 3608 3718 3772 3872 3887 4048 4096 4264 4394 4576 4784 4961 5248 5408 5566 5632 5863 5888 6292 6578 6656 6929 7216 7436 7544 7744 7774 8096 8528 8788 9152 9568 9922 10373 10496 10816 11132 11264 11726 11776 12259 12584 13156 13312 13858 14432 14872 15088 15488 15548 16192 17056 17576 18304 19136 19844 20449 20746 20992 21632 22264 22528 23452 23552 24167 24518 25168 26312 26624 27716 28561 28864 29744 30176 30976 31096 32384 34112 35152 36179 36608 38272 39688 40898 41492 41984 42757 43264 44528 45056 46904 47104 48334 49036 50336 50531 52624 53248 55432 57122 57728 59488 60352 61952 62192 64493 64768 68224 70304 72358 73216 76219 76544 79376 81796 82984 83968 85514 86528 89056 90077 93808 94208 96668 98072 100672 101062 105248 110864 114103 114244 115456 118976 120704 123904 124384 128986 129536 134849 136448 140608 144716 146432 152438 153088 158752 159367 163592 165968 167936 171028 173056 178112 180154 187616 193336 196144 201344 202124 210496 221728 228206 228488 230912 237952 241408 247808 248768 257972 259072 265837 269698 272896 281216 289432 292864 304876 306176 314171 317504 318734 327184 331936 342056 346112 356224 360308 375232 386672 392288 402688 404248 420992 443456 456412 456976 461824 470327 475904 482816 495616 497536 515944 518144 531674 539396 545792 555841 562432 578864 585728 609752 612352 628342 635008 637468 654368 656903 663872 684112 692224 712448 720616 750464 773344 784576 805376 808496 838409 841984 886912 912824 913952 923648 940654 951808 965632 990847 995072 1031888 1036288 1063348 1078792 1091584 1111682 1124864 1157728 1171001 1219504 1224704 1256684 1270016 1274936 1308736 1313806 1327744 1368224 1424896 1441232 1483339 1500928 1546688 1569152 1610752 1616992 1676818 1683968 1753037 1773824 1825648 1827904 1847296 1881308 1903616 1931264 1981694 1990144 2063776 2071771 2126696 2157584 2183168 2223364 2249728 2315456 2342002 2439008 2513368 2540032 2549872 2617472 2627612 2655488 2736448 2849792 2882464 2966678 3001856 3093376 3138304 3221504 3233984 3353636 3367936 3455881 3506074 3547648 3651296 3655808 3762616 3807232 3862528 3963388 3980288 4127552 4143542 4253392 4315168 4446728 4499456 4630912 4684004 4878016 5026736 5080064 5099744 5234944 5255224 5310976 5472896 5699584 5764928 5933356 6003712 6114251 6186752 6276608 6443008 6467968 6707272 6735872 6911762 7012148 7095296 7225933 7302592 7311616 7525232 7614464 7926776 7960576 8255104 8287084 8506784 8630336 8893456 8998912 9261824 9368008 9756032 10053472 10160128 10199488 10469888 10510448 10621952 10899317 10945792 11399168 11529856 11866712 12007424 12228502 12373504 12553216 12881011 12935936 13414544 13471744 13823524 14024296 14190592 14451866 14605184 14623232 15050464 15853552 15921152 16510208 16574168 17013568 17260672 17786912 18523648 18736016 19283407 19512064 20106944 20320256 20398976 20939776 21020896 21243904 21798634 21891584 22789481 23059712 23733424 24014848 24457004 24747008 25106432 25762022 25871872 26829088 26933023 27647048 28048592 28381184 28903732 29210368 29246464 30100928 31707104 33020416 33148336 34027136 34521344 35573824 37047296 37472032 38566814 39024128 40213888 40797952 41879552 42041792 42487808 43597268 43783168 45578962 46119424 47466848 48914008 49494016 50212864 51524044 51743744 53658176 53866046 55294096 56097184 57807464 58420736 58492928 60201856 63414208 66040832 66296672 68054272 69042688 71147648 74094592 74944064 77133628 78048256 79485263 80427776 81595904 83759104 84083584 87194536 87566336 91157924 92238848 94933696 97828016 98988032 103048088 103487488 107316352 107732092 110588192 112194368 115614928 116841472 116985856 120403712 126828416 132081664 132593344 136108544 138085376 141691121 142295296 148189184 149888128 154267256 156096512 158970526 160855552 163191808 168167168 174389072 175132672 182315848 184477696 189867392 195656032 206096176 206974976 214632704 215464184 221176384 224388736 231229856 233682944 240807424 250684291 253656832 264163328 265186688 272217088 276170752 283382242 284590592 296263253 299776256 308534512 312193024 317941052 321711104 326383616 336334336 348778144 364631696 368955392 379734784 391312064 412192352 429265408 430928368 442352768 448777472 462459712 467365888 481614848 501368582 507313664 530373376 544434176 552341504 566764484 569181184 592526506 599552512 617069024 635882104 643422208 652767232 672668672 697556288 729263392 759469568 782624128 824384704 858530816 861856736 884705536 897554944 924919424 963229696 1002737164 1014627328 1060746752 1088868352 1133528968 1138362368 1185053012 1199105024 1234138048 1271764208 1286844416 1345337344 1395112576 1458526784 1518939136 1565248256 1648769408 1717061632 1723713472 1769411072 1795109888 1849838848 1926459392 2005474328 2029254656 2121493504 2267057936 2276724736 2370106024 2398210048 2468276096 2543528416 2690674688 2790225152 2917053568 3037878272 3130496512 3258895783 3297538816 3434123264 3447426944 3538822144 3590219776 3699677696 4010948656 4058509312 4242987008 4534115872 4740212048 4796420096 4936552192 5087056832 5580450304 5834107136 6075756544 6260993024 6517791566 6595077632 6894853888 7077644288 7180439552 7399355392 8021897312 8485974016 9068231744 9480424096 9873104384 10174113664 11160900608 11668214272 12521986048 13035583132 13190155264 13789707776 14155288576 14798710784 16043794624 18136463488 18960848192 19746208768 20348227328 22321801216 23336428544 25043972096 26071166264 26380310528 27579415552 29597421568 32087589248 36272926976 37921696384 39492417536 40696454656 44643602432 46672857088 52142332528 52760621056 55158831104 64175178496 72545853952 75843392768 78984835072 81392909312 93345714176 104284665056 110317662208 128350356992 145091707904 151686785536 162785818624 208569330112 256700713984 290183415808 303373571072 325571637248 417138660224 513401427968 580366831616 606747142144 834277320448 1026802855936 1213494284288 1668554640896 3337109281792 6674218563584 13348437127168
• Sum of all divisors σ(n): 33976875968784
• Sum of proper divisors (its aliquot sum) s(n): 20628438841616
• 13348437127168 is an abundant number, because the sum of its proper divisors (20628438841616) is greater than itself. Its abundance is 7280001714448

Bases of 13348437127168

• Binary: 11000010001111101100110110100111000000000000₂
• Hexadecimal: 0xC23ECDA7000
• Base-36: 4QC6QTHJ4

Squares and roots of 13348437127168

• 13348437127168 squared (13348437127168²) is 178180773737957089003700224
• 13348437127168 cubed (13348437127168³) is 2378434855511267345977812301372438085632
• The square root of 13348437127168 is 3653551.3034810391
• The cube root of 13348437127168 is 23721.5724150253

Scales and comparisons

• 13,348,437,127,168 seconds is equal to 424,439 years, 4 days, 1 hour, 59 minutes, 28 seconds.
• To count from 1 to 13,348,437,127,168 would take you about one million, sixty-one thousand and ninety-seven 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 13348437127168 cubic inches would be around 1976.8 feet tall.

Recreational maths with 13348437127168

• 13348437127168 backwards is 86172173484331
• The number of decimal digits it has is: 14
• The sum of 13348437127168's digits is 58
• More coming soon!