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14038158000 = 2435317229601
BaseRepresentation
bin11010001001011110…
…10100101010110000
31100020100021022111210
431010233110222300
5212222232024000
610240554240120
71004610242226
oct150457245260
940210238453
1014038158000
115a541a0979
122879426040
1314294ac189
149725aab16
1557266e350
hex344bd4ab0

14038158000 has 320 divisors, whose sum is σ = 48210664320. Its totient is φ = 3502080000.

The previous prime is 14038157989. The next prime is 14038158019. The reversal of 14038158000 is 85183041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23357700 + ... + 23358300.

It is an arithmetic number, because the mean of its divisors is an integer number (150658326).

Almost surely, 214038158000 is an apocalyptic number.

14038158000 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 14038158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105332160).

14038158000 is an abundant number, since it is smaller than the sum of its proper divisors (34172506320).

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

14038158000 is a wasteful number, since it uses less digits than its factorization.

14038158000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 14038158000 in words is "fourteen billion, thirty-eight million, one hundred fifty-eight thousand".