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14053122336 = 2531161921499
BaseRepresentation
bin11010001011010000…
…11010000100100000
31100021101102120201110
431011220122010200
5212240044403321
610242251103320
71005151366101
oct150550320440
940241376643
1014053122336
115a616918a0
122882441b40
13142c61b506
149745843a8
15573b28176
hex345a1a120

14053122336 has 96 divisors (see below), whose sum is σ = 40309920000. Its totient is φ = 4251444480.

The previous prime is 14053122319. The next prime is 14053122359. The reversal of 14053122336 is 63322135041.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642915 + ... + 664413.

It is an arithmetic number, because the mean of its divisors is an integer number (419895000).

Almost surely, 214053122336 is an apocalyptic number.

14053122336 is a gapful number since it is divisible by the number (16) 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 14053122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154960000).

14053122336 is an abundant number, since it is smaller than the sum of its proper divisors (26256797664).

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

14053122336 is a wasteful number, since it uses less digits than its factorization.

14053122336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22142 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 14053122336 its reverse (63322135041), we get a palindrome (77375257377).

The spelling of 14053122336 in words is "fourteen billion, fifty-three million, one hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 619 1056 1238 1857 2476 3714 4952 6809 7428 9904 13618 14856 19808 20427 21499 27236 29712 40854 42998 54472 59424 64497 81708 85996 108944 128994 163416 171992 217888 236489 257988 326832 343984 472978 515976 653664 687968 709467 945956 1031952 1418934 1891912 2063904 2837868 3783824 5675736 7567648 11351472 13307881 22702944 26615762 39923643 53231524 79847286 106463048 146386691 159694572 212926096 292773382 319389144 425852192 439160073 585546764 638778288 878320146 1171093528 1277556576 1756640292 2342187056 3513280584 4684374112 7026561168 14053122336