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14250230496 = 253261811147
BaseRepresentation
bin11010100010110000…
…10100001011100000
31100210010022201021200
431101120110023200
5213141024333441
610314011521200
71013063650335
oct152130241340
940703281250
1014250230496
11605297a0a7
122918459200
131461402468
1499281298c
155860b07b6
hex3516142e0

14250230496 has 72 divisors (see below), whose sum is σ = 41188473144. Its totient is φ = 4672200960.

The previous prime is 14250230483. The next prime is 14250230513. The reversal of 14250230496 is 69403205241.

It is a happy number.

14250230496 is a `hidden beast` number, since 14 + 250 + 2 + 304 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14250230496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388006 + ... + 423141.

It is an arithmetic number, because the mean of its divisors is an integer number (572062127).

Almost surely, 214250230496 is an apocalyptic number.

14250230496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14250230496 is an abundant number, since it is smaller than the sum of its proper divisors (26938242648).

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

14250230496 is a wasteful number, since it uses less digits than its factorization.

14250230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811224 (or 811213 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14250230496 in words is "fourteen billion, two hundred fifty million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 811147 1622294 2433441 3244588 4866882 6489176 7300323 9733764 12978352 14600646 19467528 25956704 29201292 38935056 49479967 58402584 77870112 98959934 116805168 148439901 197919868 233610336 296879802 395839736 445319703 593759604 791679472 890639406 1187519208 1583358944 1781278812 2375038416 3562557624 4750076832 7125115248 14250230496