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14092907400 = 233252111354751
BaseRepresentation
bin11010010000000000…
…01011001110001000
31100101011021212120100
431020000023032020
5212330241014100
610250231525400
71006143510405
oct151000131610
940334255510
1014092907400
115a82095a10
122893829860
13143793b280
1497997d2ac
15577386400
hex34800b388

14092907400 has 288 divisors, whose sum is σ = 55603941120. Its totient is φ = 3153600000.

The previous prime is 14092907399. The next prime is 14092907429. The reversal of 14092907400 is 470929041.

It is a super-2 number, since 2×140929074002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230025 + ... + 284775.

It is an arithmetic number, because the mean of its divisors is an integer number (193069240).

Almost surely, 214092907400 is an apocalyptic number.

14092907400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14092907400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801970560).

14092907400 is an abundant number, since it is smaller than the sum of its proper divisors (41511033720).

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

14092907400 is a wasteful number, since it uses less digits than its factorization.

14092907400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54797 (or 54785 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 14092907400 in words is "fourteen billion, ninety-two million, nine hundred seven thousand, four hundred".