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114744710064 = 2435531432203
BaseRepresentation
bin110101011011101010…
…0010101001110110000
3101222011202102012222110
41222313110111032300
53334444121210224
6124414001205320
711201323641255
oct1526724251660
9358152365873
10114744710064
1144732440aa6
121a2a3930840
13aa884b335a
1457a73cd42c
152eb8922929
hex1ab75153b0

114744710064 has 40 divisors (see below), whose sum is σ = 296478113472. Its totient is φ = 38241232960.

The previous prime is 114744710053. The next prime is 114744710099. The reversal of 114744710064 is 460017447411.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49387 + ... + 481589.

Almost surely, 2114744710064 is an apocalyptic number.

It is an amenable number.

114744710064 is an abundant number, since it is smaller than the sum of its proper divisors (181733403408).

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

114744710064 is a wasteful number, since it uses less digits than its factorization.

114744710064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437745 (or 437739 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

It can be divided in two parts, 1147447 and 10064, that added together give a palindrome (1157511).

The spelling of 114744710064 in words is "one hundred fourteen billion, seven hundred forty-four million, seven hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 5531 11062 16593 22124 33186 44248 66372 88496 132744 265488 432203 864406 1296609 1728812 2593218 3457624 5186436 6915248 10372872 20745744 2390514793 4781029586 7171544379 9562059172 14343088758 19124118344 28686177516 38248236688 57372355032 114744710064