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14003408896 = 212434
BaseRepresentation
bin11010000101010101…
…10001000000000000
31100010220212212200221
431002222301000000
5212134333041041
610233313352424
71004006004001
oct150252610000
940126785627
1014003408896
115a36617404
122869868714
131422233689
1496bb231a8
1556e5a82d1
hex342ab1000

14003408896 has 65 divisors (see below), whose sum is σ = 28670146391. Its totient is φ = 6838874112.

The previous prime is 14003408893. The next prime is 14003408917. The reversal of 14003408896 is 69880430041.

The square root of 14003408896 is 118336.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

14003408896 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14003408893) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 325660651 + ... + 325660693.

Almost surely, 214003408896 is an apocalyptic number.

14003408896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14003408896 is the 118336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003408896

14003408896 is an abundant number, since it is smaller than the sum of its proper divisors (14666737495).

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

14003408896 is an frugal number, since it uses more digits than its factorization.

14003408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

14003408896 divided by its sum of digits (43) gives a cube (325660672 = 6883).

The spelling of 14003408896 in words is "fourteen billion, three million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 1849 2048 2752 3698 4096 5504 7396 11008 14792 22016 29584 44032 59168 79507 88064 118336 159014 176128 236672 318028 473344 636056 946688 1272112 1893376 2544224 3418801 3786752 5088448 6837602 7573504 10176896 13675204 20353792 27350408 40707584 54700816 81415168 109401632 162830336 218803264 325660672 437606528 875213056 1750426112 3500852224 7001704448 14003408896