13746318513408

Names of 13746318513408

• Cardinal: 13746318513408 can be written as Thirteen trillion, seven hundred forty-six billion, three hundred eighteen million, five hundred thirteen thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.3746318513408 × 10¹³

Factors of 13746318513408

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 248

Divisors of 13746318513408

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 81 96 104 108 111 117 128 144 148 156 162 192 193 208 216 222 234 256 288 296 312 324 333 351 384 386 416 432 444 468 481 576 579 592 624 648 666 702 768 772 832 864 888 936 962 999 1053 1152 1158 1184 1248 1296 1332 1369 1404 1443 1544 1664 1728 1737 1776 1872 1924 1998 2106 2304 2316 2368 2496 2509 2592 2664 2738 2808 2886 2997 3088 3328 3456 3474 3552 3744 3848 3996 4107 4212 4329 4632 4736 4992 5018 5184 5211 5328 5476 5616 5772 5994 6176 6912 6948 7104 7141 7488 7527 7696 7992 8214 8424 8658 9264 9472 9984 10036 10368 10422 10656 10952 11232 11544 11988 12321 12352 12987 13896 14208 14282 14976 15054 15392 15633 15984 16428 16848 17316 17797 18528 20072 20736 20844 21312 21423 21904 22464 22581 23088 23976 24642 24704 25974 27792 28416 28564 29952 30108 30784 31266 31968 32856 33696 34632 35594 36963 37056 37249 38961 40144 41688 42624 42846 43808 44928 45162 46176 47952 49284 49408 51948 53391 55584 57128 60216 61568 62532 63936 64269 65712 67392 67743 69264 71188 73926 74112 74498 77922 80288 83376 85248 85692 87616 89856 90324 92352 92833 95904 98568 103896 106782 110889 111168 111747 114256 120432 123136 125064 127872 128538 131424 134784 135486 138528 142376 147852 148224 148996 155844 160173 160576 166752 171384 175232 180648 184704 185666 191808 192807 197136 203229 207792 213564 221778 222336 223494 228512 240864 250128 255744 257076 262848 264217 269568 270972 277056 278499 284752 295704 297992 311688 320346 321152 333504 335241 342768 350464 361296 369408 371332 383616 385614 394272 406458 415584 427128 443556 444672 446988 457024 480519 481728 484237 500256 514152 525696 528434 541944 554112 556998 569504 578421 591408 595984 623376 640692 642304 667008 670482 685536 722592 742664 767232 771228 788544 792651 812916 831168 835497 854256 887112 893976 914048 961038 963456 968474 1000512 1005723 1028304 1051392 1056868 1083888 1108224 1113996 1139008 1156842 1182816 1191968 1246752 1281384 1334016 1340964 1371072 1378213 1441557 1445184 1452711 1485328 1542456 1577088 1585302 1625832 1662336 1670994 1708512 1774224 1787952 1828096 1922076 1926912 1936948 2001024 2011446 2056608 2113736 2167776 2227992 2278016 2313684 2365632 2377953 2383936 2493504 2506491 2562768 2681928 2742144 2756426 2883114 2890368 2905422 2970656 3017169 3084912 3154176 3170604 3251664 3324672 3341988 3417024 3434821 3548448 3575904 3844152 3873896 4002048 4022892 4113216 4134639 4227472 4335552 4358133 4455984 4556032 4627368 4731264 4755906 4767872 4987008 5012982 5125536 5363856 5484288 5512852 5766228 5780736 5810844 5941312 6034338 6169824 6341208 6503328 6683976 6834048 6869642 7096896 7133859 7151808 7519473 7688304 7747792 8045784 8226432 8269278 8454944 8671104 8716266 8911968 9254736 9462528 9511812 9535744 9974016 10025964 10251072 10304463 10727712 11025704 11532456 11621688 11882624 12068676 12339648 12403917 12682416 13006656 13074399 13367952 13668096 13739284 14193792 14267718 14303616 15038946 15376608 15495584 16091568 16452864 16538556 16909888 17342208 17432532 17823936 17916769 18509472 19023624 20051928 20502144 20608926 21401577 21455424 22051408 23064912 23243376 23765248 24137352 24679296 24807834 25364832 26013312 26148798 26735904 27478568 28387584 28535436 28607232 30077892 30753216 30913389 30991168 32183136 33077112 33819776 34865064 35647872 35833538 37018944 37211751 38047248 39223197 40103856 41004288 41217852 42803154 42910848 44102816 46129824 46486752 48274704 49358592 49615668 50729664 50993881 52026624 52297596 53471808 53750307 54957136 57070872 60155784 61506432 61826778 61982336 64366272 66154224 67639552 69730128 71295744 71667076 74037888 74423502 76094496 78446394 80207712 82435704 85606308 85821696 88205632 92259648 92740167 92973504 96549408 99231336 101459328 101987762 104595192 106943616 107500614 109914272 111635253 114141744 120311568 123012864 123653556 123964672 128732544 132308448 139460256 143334152 148075776 148847004 152188992 152981643 156892788 160415424 161250921 164871408 171212616 176411264 184519296 185480334 185947008 193098816 198462672 202918656 203975524 209190384 213887232 215001228 219828544 223270506 228283488 240623136 247307112 257465088 264616896 278220501 278920512 286668304 297694008 304377984 305963286 313785576 320830848 322501842 329742816 342425232 352822528 369038592 370960668 371894016 386197632 396925344 407951048 418380768 430002456 439657088 446541012 456566976 458944929 481246272 483752763 494614224 529233792 556441002 557841024 573336608 595388016 608755968 611926572 627571152 641661696 645003684 659485632 662920453 684850464 741921336 772395264 793850688 815902096 836761536 860004912 879314176 893082024 913133952 917889858 962492544 967505526 989228448 1058467584 1112882004 1115682048 1146673216 1190776032 1223853144 1255142304 1290007368 1318971264 1325840906 1369700928 1376834787 1451258289 1483842672 1587701376 1631804192 1673523072 1720009824 1786164048 1826267904 1835779716 1924985088 1935011052 1978456896 1988761359 2225764008 2293346432 2381552064 2447706288 2510284608 2580014736 2637942528 2651681812 2739401856 2753669574 2902516578 2967685344 3175402752 3263608384 3347046144 3440019648 3572328096 3671559432 3870022104 3956913792 3977522718 4130504361 4451528016 4586692864 4763104128 4895412576 5020569216 5160029472 5303363624 5478803712 5507339148 5805033156 5935370688 5966284077 6527216768 6880039296 7144656192 7343118864 7740044208 7913827584 7955045436 8261008722 8903056032 9526208256 9790825152 10041138432 10320058944 10606727248 11014678296 11610066312 11870741376 11932568154 13054433536 13760078592 14289312384 14686237728 15480088416 15910090872 16522017444 17806112064 17898852231 19581650304 20640117888 21213454496 22029356592 23220132624 23741482752 23865136308 28578624768 29372475456 30960176832 31820181744 33044034888 35612224128 35797704462 39163300608 41280235776 42426908992 44058713184 46440265248 47730272616 53696556693 58744950912 61920353664 63640363488 66088069776 71224448256 71595408924 84853817984 88117426368 92880530496 95460545232 107393113386 117489901824 123840707328 127280726976 132176139552 143190817848 169707635968 176234852736 185761060992 190921090464 214786226772 254561453952 264352279104 286381635696 352469705472 371522121984 381842180928 429572453544 509122907904 528704558208 572763271392 763684361856 859144907088 1057409116416 1145526542784 1527368723712 1718289814176 2291053085568 3436579628352 4582106171136 6873159256704 13746318513408
• Sum of all divisors σ(n): 45603590943834
• Sum of proper divisors (its aliquot sum) s(n): 31857272430426
• 13746318513408 is an abundant number, because the sum of its proper divisors (31857272430426) is greater than itself. Its abundance is 18110953917018

Bases of 13746318513408

• Binary: 11001000000010010000011011101001010100000000₂
• Hexadecimal: 0xC80906E9500
• Base-36: 4VEYZ4G00

Squares and roots of 13746318513408

• 13746318513408 squared (13746318513408²) is 188961272672063527075774464
• 13746318513408 cubed (13746318513408³) is 2597521840849124039403997187342768013312
• The square root of 13746318513408 is 3707602.7987647219
• The cube root of 13746318513408 is 23954.9609674361

Scales and comparisons

• 13,746,318,513,408 seconds is equal to 437,090 years, 21 weeks, 1 day, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 13,746,318,513,408 would take you about one million, ninety-two thousand, seven hundred twenty-six 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 13746318513408 cubic inches would be around 1996.2 feet tall.

Recreational maths with 13746318513408

• 13746318513408 backwards is 80431581364731
• 13746318513408 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13746318513408's digits is 54
• More coming soon!