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14413412464 = 24111719253543
BaseRepresentation
bin11010110110001101…
…10011100001110000
31101012111101012212021
431123012303201300
5214004313144324
610342121241224
71020114661453
oct153306634160
941174335767
1014413412464
116126aa5130
122963033214
131489168339
149aa36d49a
15595595ae4
hex35b1b3870

14413412464 has 80 divisors (see below), whose sum is σ = 33954612480. Its totient is φ = 5841607680.

The previous prime is 14413412449. The next prime is 14413412473. The reversal of 14413412464 is 46421431441.

14413412464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 69924 + ... + 183619.

It is an arithmetic number, because the mean of its divisors is an integer number (424432656).

Almost surely, 214413412464 is an apocalyptic number.

It is an amenable number.

14413412464 is an abundant number, since it is smaller than the sum of its proper divisors (19541200016).

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

14413412464 is a wasteful number, since it uses less digits than its factorization.

14413412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253598 (or 253592 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 14413412464 in words is "fourteen billion, four hundred thirteen million, four hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 28424 56848 253543 507086 1014172 2028344 2788973 4056688 4310231 4817317 5577946 8620462 9634634 11155892 17240924 19269268 22311784 34481848 38538536 44623568 47412541 52990487 68963696 77077072 81894389 94825082 105980974 163788778 189650164 211961948 327577556 379300328 423923896 655155112 758600656 847847792 900838279 1310310224 1801676558 3603353116 7206706232 14413412464