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14004000640 = 27573125893
BaseRepresentation
bin11010000101011010…
…00001011110000000
31100010221222221102101
431002231001132000
5212140011010030
610233334200144
71004014020130
oct150255013600
940127887371
1014004000640
115a36990a53
122869ab3054
1314223acb16
1496bc38ac0
1556e6737ca
hex342b41780

14004000640 has 64 divisors (see below), whose sum is σ = 38260942560. Its totient is φ = 4801370112.

The previous prime is 14004000623. The next prime is 14004000697. The reversal of 14004000640 is 4600040041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140040006402 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1558467 + ... + 1567426.

Almost surely, 214004000640 is an apocalyptic number.

14004000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004000640 is an abundant number, since it is smaller than the sum of its proper divisors (24256941920).

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

14004000640 is an equidigital number, since it uses as much as digits as its factorization.

14004000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125919 (or 3125907 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14004000640 its reverse (4600040041), we get a palindrome (18604040681).

The spelling of 14004000640 in words is "fourteen billion, four million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 3125893 6251786 12503572 15629465 21881251 25007144 31258930 43762502 50014288 62517860 87525004 100028576 109406255 125035720 175050008 200057152 218812510 250071440 350100016 400114304 437625020 500142880 700200032 875250040 1000285760 1400400064 1750500080 2000571520 2800800128 3501000160 7002000320 14004000640