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14112954000 = 24355371409
BaseRepresentation
bin11010010010011001…
…01001011010010000
31100102120000100100000
431021030221122100
5212400404012000
610252225330000
71006506062325
oct151114513220
940376010300
1014112954000
115a92438252
12289a496900
13143bb39972
1497c4bab4c
15578ee6000
hex349329690

14112954000 has 480 divisors, whose sum is σ = 51964174080. Its totient is φ = 3701376000.

The previous prime is 14112953983. The next prime is 14112954017. The reversal of 14112954000 is 45921141.

14112954000 is a `hidden beast` number, since 1 + 4 + 112 + 9 + 540 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14112953983) and next prime (14112954017).

It is a super-2 number, since 2×141129540002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34505796 + ... + 34506204.

It is an arithmetic number, because the mean of its divisors is an integer number (108258696).

Almost surely, 214112954000 is an apocalyptic number.

14112954000 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 14112954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25982087040).

14112954000 is an abundant number, since it is smaller than the sum of its proper divisors (37851220080).

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

14112954000 is an equidigital number, since it uses as much as digits as its factorization.

14112954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 14112954000 in words is "fourteen billion, one hundred twelve million, nine hundred fifty-four thousand".