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140714496 = 29361329
BaseRepresentation
bin10000110001100…
…10001000000000
3100210210001000000
420120302020000
5242010330441
621544000000
73326024226
oct1030621000
9323701000
10140714496
117247a97a
123b160000
13231ca620
141498cb16
15c5482b6
hex8632200

140714496 has 280 divisors, whose sum is σ = 469618380. Its totient is φ = 41803776.

The previous prime is 140714473. The next prime is 140714503. The reversal of 140714496 is 694417041.

140714496 is a `hidden beast` number, since 140 + 71 + 449 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136048896 + 4665600 = 11664^2 + 2160^2 .

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 self number, because there is not a number n which added to its sum of digits gives 140714496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4852210 + ... + 4852238.

Almost surely, 2140714496 is an apocalyptic number.

140714496 is a gapful number since it is divisible by the number (16) 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 140714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234809190).

140714496 is an abundant number, since it is smaller than the sum of its proper divisors (328903884).

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

140714496 is an frugal number, since it uses more digits than its factorization.

140714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 140714496 is about 11862.3141081325. The cubic root of 140714496 is about 520.1312489210.

The spelling of 140714496 in words is "one hundred forty million, seven hundred fourteen thousand, four hundred ninety-six".