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14152180140 = 22335723315989
BaseRepresentation
bin11010010111000100…
…10010000110101100
31100112021211020111000
431023202102012230
5212440424231030
610300150200300
71010463355260
oct151342220654
940467736430
1014152180140
11600259a44a
1228ab653090
131446cc21b7
149837ac0a0
1557c693860
hex34b8921ac

14152180140 has 768 divisors, whose sum is σ = 55738368000. Its totient is φ = 2910504960.

The previous prime is 14152180139. The next prime is 14152180181. The reversal of 14152180140 is 4108125141.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 159013216 + ... + 159013304.

It is an arithmetic number, because the mean of its divisors is an integer number (72576000).

Almost surely, 214152180140 is an apocalyptic number.

14152180140 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 14152180140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184000).

14152180140 is an abundant number, since it is smaller than the sum of its proper divisors (41586187860).

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

14152180140 is a wasteful number, since it uses less digits than its factorization.

14152180140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 14152180140 in words is "fourteen billion, one hundred fifty-two million, one hundred eighty thousand, one hundred forty".