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140914944 = 2833192937
BaseRepresentation
bin10000110011000…
…11000100000000
3100211011012222000
420121203010000
5242033234234
621552144000
73330520512
oct1031430400
9324135860
10140914944
11725a7535
123b238000
132326a931
1414a01bb2
15c587899
hex8663100

140914944 has 288 divisors, whose sum is σ = 466032000. Its totient is φ = 41803776.

The previous prime is 140914937. The next prime is 140914979. The reversal of 140914944 is 449419041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 140914899 and 140914908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808494 + ... + 3808530.

Almost surely, 2140914944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233016000).

140914944 is an abundant number, since it is smaller than the sum of its proper divisors (325117056).

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

140914944 is a wasteful number, since it uses less digits than its factorization.

140914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 140914944 is about 11870.7600430638. The cubic root of 140914944 is about 520.3781076429.

The spelling of 140914944 in words is "one hundred forty million, nine hundred fourteen thousand, nine hundred forty-four".