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140314464 = 25331741233
BaseRepresentation
bin10000101110100…
…00011101100000
3100210000201021000
420113100131200
5241410030324
621531232000
73322440033
oct1027203540
9323021230
10140314464
1172227374
123aba8600
13230ba514
14148c701a
15c4b99c9
hex85d0760

140314464 has 192 divisors, whose sum is σ = 445798080. Its totient is φ = 42762240.

The previous prime is 140314459. The next prime is 140314529. The reversal of 140314464 is 464413041.

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

It is a zygodrome in base 7.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 602092 + ... + 602324.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2140314464 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 140314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

140314464 is an abundant number, since it is smaller than the sum of its proper divisors (305483616).

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

140314464 is a wasteful number, since it uses less digits than its factorization.

140314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 140314464 is about 11845.4406418672. The cubic root of 140314464 is about 519.6378938596.

The spelling of 140314464 in words is "one hundred forty million, three hundred fourteen thousand, four hundred sixty-four".