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14258310864 = 2437213943613
BaseRepresentation
bin11010100011101110…
…01000111011010000
31100210200112020110120
431101313020323100
5213200111421424
610314501030240
71013222433300
oct152167107320
940720466416
1014258310864
116057498a96
12291b0b5380
131462ca1345
14993917600
15586b59a79
hex351dc8ed0

14258310864 has 120 divisors (see below), whose sum is σ = 43156925280. Its totient is φ = 4044402432.

The previous prime is 14258310853. The next prime is 14258310877. The reversal of 14258310864 is 46801385241.

It is a happy number.

14258310864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305122 + ... + 348734.

It is an arithmetic number, because the mean of its divisors is an integer number (359641044).

Almost surely, 214258310864 is an apocalyptic number.

14258310864 is a gapful number since it is divisible by the number (14) 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 14258310864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578462640).

14258310864 is an abundant number, since it is smaller than the sum of its proper divisors (28898614416).

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

14258310864 is a wasteful number, since it uses less digits than its factorization.

14258310864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43777 (or 43764 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 14258310864 in words is "fourteen billion, two hundred fifty-eight million, three hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 139 147 168 196 278 294 336 392 417 556 588 784 834 973 1112 1176 1668 1946 2224 2352 2919 3336 3892 5838 6672 6811 7784 11676 13622 15568 20433 23352 27244 40866 43613 46704 54488 81732 87226 108976 130839 163464 174452 261678 305291 326928 348904 523356 610582 697808 915873 1046712 1221164 1831746 2093424 2137037 2442328 3663492 4274074 4884656 6062207 6411111 7326984 8548148 12124414 12822222 14653968 17096296 18186621 24248828 25644444 34192592 36373242 42435449 48497656 51288888 72746484 84870898 96995312 102577776 127306347 145492968 169741796 254612694 290985936 297048143 339483592 509225388 594096286 678967184 891144429 1018450776 1188192572 1782288858 2036901552 2376385144 3564577716 4752770288 7129155432 14258310864