13735709736398848

Names of 13735709736398848

• Cardinal: 13735709736398848 can be written as Thirteen quadrillion, seven hundred thirty-five trillion, seven hundred nine billion, seven hundred thirty-six million, three hundred ninety-eight thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.3735709736398848 × 10¹⁶

Factors of 13735709736398848

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 51028

Divisors of 13735709736398848

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 512 529 704 736 968 1012 1024 1049 1058 1408 1472 1936 2024 2048 2098 2116 2783 2816 2944 3872 4048 4096 4196 4232 5566 5632 5819 5888 7744 8096 8392 8464 11132 11264 11539 11638 11776 15488 16192 16784 16928 22264 22528 23078 23276 23552 24127 30976 32384 33568 33856 44528 45056 46156 46552 47104 48254 49943 61952 64009 64768 67136 67712 89056 92312 93104 94208 96508 99886 123904 126929 128018 129536 134272 135424 178112 184624 186208 193016 199772 247808 253858 256036 259072 265397 268544 270848 356224 369248 372416 386032 399544 495616 507716 512072 518144 530794 537088 541696 549373 554921 712448 738496 744832 772064 799088 1015432 1024144 1036288 1061588 1074176 1083392 1098746 1109842 1148689 1424896 1476992 1489664 1544128 1598176 2030864 2048288 2123176 2148352 2166784 2197492 2219684 2297378 2849792 2919367 2953984 2979328 3088256 3196352 4061728 4096576 4246352 4296704 4394984 4439368 4594756 5699584 5838734 5907968 5958656 6043103 6104131 6176512 6392704 8123456 8193152 8492704 8789968 8878736 9189512 11399168 11677468 11815936 11917312 12086206 12208262 12353024 12635579 12785408 16246912 16386304 16985408 17579936 17757472 18379024 23354936 23631872 23834624 24172412 24416524 24706048 25271158 25570816 26419847 32493824 32772608 33970816 35159872 35514944 36758048 46709872 47263744 48344824 48833048 49412096 50542316 51141632 52390207 52839694 64987648 65545216 67145441 67941632 70319744 71029888 73516096 93419744 96689648 97666096 98824192 101084632 102283264 104780414 105679388 129975296 131090432 134290882 135883264 138991369 140639488 142059776 147032192 186839488 193379296 195332192 202169264 204566528 209560828 211358776 259950592 262180864 268581764 271766528 277982738 281278976 284119552 290618317 294064384 373678976 386758592 390664384 404338528 419121656 422717552 519901184 537163528 543533056 555965476 562557952 568239104 576292277 581236634 588128768 747357952 773517184 781328768 808677056 838243312 845435104 1074327056 1087066112 1111930952 1125115904 1136478208 1152584554 1162473268 1176257536 1204974761 1494715904 1547034368 1562657536 1617354112 1676486624 1690870208 2148654112 2223861904 2250231808 2272956416 2305169108 2324946536 2352515072 2409949522 2989431808 3094068736 3125315072 3196801487 3234708224 3352973248 3381740416 4297308224 4447723808 4610338216 4649893072 4705030144 4819899044 5978863616 6188137472 6250630144 6339215047 6393602974 6469416448 6705946496 6763480832 8594616448 8895447616 9220676432 9299786144 9639798088 11957727232 12376274944 12501260288 12678430094 12787205948 12938832896 13254722371 13411892992 13526961664 17189232896 17790895232 18441352864 18599572288 19279596176 24752549888 25002520576 25356860188 25574411896 25877665792 26509444742 26823785984 27053923328 27714419503 34378465792 35581790464 36882705728 37199144576 38559192352 50713720376 51148823792 51755331584 53018889484 53647571968 54107846656 55428839006 68756931584 71163580928 73765411456 74398289152 77118384704 101427440752 102297647584 106037778968 107295143936 108215693312 110857678012 137513863168 142327161856 145801946081 147530822912 148796578304 154236769408 202854881504 204595295168 212075557936 214590287872 221715356024 275027726336 284654323712 291603892162 295061645824 297593156608 304858614533 308473538816 405709763008 409190590336 424151115872 443430712048 569308647424 583207784324 590123291648 595186313216 609717229066 616947077632 811419526016 818381180672 848302231744 886861424096 1166415568648 1180246583296 1190372626432 1219434458132 1233894155264 1622839052032 1636762361344 1696604463488 1773722848192 2332831137296 2360493166592 2438868916264 2467788310528 3245678104064 3273524722688 3353444759863 3393208926976 3547445696384 4665662274592 4877737832528 4935576621056 6491356208128 6547049445376 6706889519726 6786417853952 7094891392768 9331324549184 9755475665056 12982712416256 13094098890752 13413779039452 13572835707904 14189782785536 18662649098368 19510951330112 25965424832512 26827558078904 27145671415808 28379565571072 37325298196736 39021902660224 53655116157808 54291342831616 56759131142144 74650596393472 78043805320448 107310232315616 113518262284288 149301192786944 156087610640896 214620464631232 298602385573888 312175221281792 429240929262464 597204771147776 624350442563584 858481858524928 1248700885127168 1716963717049856 3433927434099712 6867854868199424 13735709736398848
• Sum of all divisors σ(n): 31592669133790800
• Sum of proper divisors (its aliquot sum) s(n): 17856959397391952
• 13735709736398848 is an abundant number, because the sum of its proper divisors (17856959397391952) is greater than itself. Its abundance is 4121249660993104

Bases of 13735709736398848

• Binary: 110000110011001000111000100011100100110111000000000000₂
• Hexadecimal: 0x30CC8E23937000
• Base-36: 3R8WHXVJAPS

Squares and roots of 13735709736398848

• 13735709736398848 squared (13735709736398848²) is 188669721962602110409727335727104
• 13735709736398848 cubed (13735709736398848³) is 2591512536925377377114378640984821980284627976192
• The square root of 13735709736398848 is 117199444.2665955989
• The cube root of 13735709736398848 is 239487.9693539659

Scales and comparisons

• 13,735,709,736,398,848 seconds is equal to 436,753,082 years, 14 weeks, 3 days, 1 hour, 27 minutes, 28 seconds.
• To count from 1 to 13,735,709,736,398,848 would take you about one billion, three hundred ten million, two hundred fifty-nine thousand, two hundred forty-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 13735709736398848 cubic inches would be around 19957.3 feet tall.

Recreational maths with 13735709736398848

• 13735709736398848 backwards is 84889363790753731
• The number of decimal digits it has is: 17
• The sum of 13735709736398848's digits is 91
• More coming soon!