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5142014640 = 2432573132911
BaseRepresentation
bin1001100100111110…
…01110101010110000
3111021100121102000200
410302133032222300
541012323432030
62210123115200
7241265255220
oct46237165260
914240542020
105142014640
1121a9595784
12bb6072b00
1363c3c2c19
1436acac080
15201659d60
hex1327ceab0

5142014640 has 240 divisors, whose sum is σ = 20372791296. Its totient is φ = 1137369600.

The previous prime is 5142014597. The next prime is 5142014641. The reversal of 5142014640 is 464102415.

5142014640 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 0 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5142014641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139785 + ... + 172695.

Almost surely, 25142014640 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 5142014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186395648).

5142014640 is an abundant number, since it is smaller than the sum of its proper divisors (15230776656).

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

5142014640 is a wasteful number, since it uses less digits than its factorization.

5142014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32968 (or 32959 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5142014640 is about 71707.8422489479. The cubic root of 5142014640 is about 1726.0144858018.

The spelling of 5142014640 in words is "five billion, one hundred forty-two million, fourteen thousand, six hundred forty".