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14380374400 = 27527641981
BaseRepresentation
bin11010110010010001…
…10001100110000000
31101010012012201011021
431121020301212000
5213422333440100
610334541155224
71016234110540
oct153110614600
941105181137
1014380374400
11610a38a147
122953b5bb14
13148236b5a2
149a5c0d320
1559271ba1a
hex359231980

14380374400 has 96 divisors (see below), whose sum is σ = 40598941680. Its totient is φ = 4930406400.

The previous prime is 14380374397. The next prime is 14380374401. The reversal of 14380374400 is 447308341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14380374401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 298591 + ... + 343390.

Almost surely, 214380374400 is an apocalyptic number.

14380374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14380374400 is an abundant number, since it is smaller than the sum of its proper divisors (26218567280).

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

14380374400 is an equidigital number, since it uses as much as digits as its factorization.

14380374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642012 (or 641995 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 14380374400 in words is "fourteen billion, three hundred eighty million, three hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 641981 1283962 2567924 3209905 4493867 5135848 6419810 8987734 10271696 12839620 16049525 17975468 20543392 22469335 25679240 32099050 35950936 41086784 44938670 51358480 64198100 71901872 82173568 89877340 102716960 112346675 128396200 143803744 179754680 205433920 224693350 256792400 287607488 359509360 410867840 449386700 513584800 575214976 719018720 898773400 1027169600 1438037440 1797546800 2054339200 2876074880 3595093600 7190187200 14380374400