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14340352064 = 26232467907
BaseRepresentation
bin11010101101100000…
…00110100001000000
31101000101220100211112
431112300012201000
5213332112231224
610330551302452
71015236660413
oct152660064100
941011810745
1014340352064
116099833835
12294267aa28
131476c9782c
149a0791b7a
1558de6330e
hex356c06840

14340352064 has 84 divisors (see below), whose sum is σ = 29844242064. Its totient is φ = 6836197632.

The previous prime is 14340352063. The next prime is 14340352073. The reversal of 14340352064 is 46025304341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14340352064.

It is not an unprimeable number, because it can be changed into a prime (14340352063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15810299 + ... + 15811205.

It is an arithmetic number, because the mean of its divisors is an integer number (355288596).

Almost surely, 214340352064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922121032).

14340352064 is an abundant number, since it is smaller than the sum of its proper divisors (15503890000).

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

14340352064 is an equidigital number, since it uses as much as digits as its factorization.

14340352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 14340352064 in words is "fourteen billion, three hundred forty million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 467 529 736 907 934 1058 1472 1814 1868 2116 3628 3736 4232 7256 7472 8464 10741 14512 14944 16928 20861 21482 29024 29888 33856 41722 42964 58048 83444 85928 166888 171856 247043 333776 343712 423569 479803 494086 667552 687424 847138 959606 988172 1335104 1694276 1919212 1976344 3388552 3838424 3952688 6777104 7676848 7905376 9742087 13554208 15353696 15810752 19484174 27108416 30707392 38968348 77936696 155873392 224068001 311746784 448136002 623493568 896272004 1792544008 3585088016 7170176032 14340352064