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14426857702272 = 27397871344453
BaseRepresentation
bin1101000111110000001110…
…1110101000001110000000
31220002012020111222222000010
43101330003232220032000
53342332201032433042
650403335033024520
73016206661064421
oct321740356501600
956065214888003
1014426857702272
11466243a07a244
121750031555140
138085a693c9c2
1437c3995d1648
151a042061e59c
hexd1f03ba8380

14426857702272 has 128 divisors (see below), whose sum is σ = 38721720713760. Its totient is φ = 4758722445312.

The previous prime is 14426857702241. The next prime is 14426857702289. The reversal of 14426857702272 is 27220775862441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324519598 + ... + 324564050.

Almost surely, 214426857702272 is an apocalyptic number.

14426857702272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14426857702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360860356880).

14426857702272 is an abundant number, since it is smaller than the sum of its proper divisors (24294863011488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14426857702272 is an equidigital number, since it uses as much as digits as its factorization.

14426857702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53280 (or 53268 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 57.

The spelling of 14426857702272 in words is "fourteen trillion, four hundred twenty-six billion, eight hundred fifty-seven million, seven hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 6208 8713 9312 12416 17426 18624 26139 34852 37248 44453 52278 69704 88906 104556 133359 139408 177812 209112 266718 278816 355624 418224 533436 557632 711248 836448 845161 1066872 1115264 1422496 1672896 1690322 2133744 2535483 2844992 3345792 3380644 4267488 4311941 5070966 5689984 6761288 8534976 8623882 10141932 12935823 13522576 17069952 17247764 20283864 25871646 27045152 34495528 40567728 51743292 54090304 68991056 81135456 103486584 108180608 137982112 162270912 206973168 275964224 324541824 387318989 413946336 551928448 774637978 827892672 1161956967 1549275956 1655785344 2323913934 3098551912 4647827868 6197103824 9295655736 12394207648 18591311472 24788415296 37182622944 37569941933 49576830592 74365245888 75139883866 112709825799 148730491776 150279767732 225419651598 300559535464 450839303196 601119070928 901678606392 1202238141856 1803357212784 2404476283712 3606714425568 4808952567424 7213428851136 14426857702272