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114544976040 = 233351129332477
BaseRepresentation
bin110101010101101101…
…0011010000010101000
3101221122211120200102000
41222223122122002220
53334042003213130
6124342104211000
711163350142315
oct1525332320250
9357584520360
10114544976040
114463a71a960
121a248a69a60
13aa55cc0141
145788a79d0c
152ea611c260
hex1aab69a0a8

114544976040 has 256 divisors, whose sum is σ = 430891488000. Its totient is φ = 26810864640.

The previous prime is 114544976009. The next prime is 114544976071. The reversal of 114544976040 is 40679445411.

114544976040 is a `hidden beast` number, since 1 + 1 + 4 + 544 + 9 + 7 + 60 + 40 = 666.

114544976040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114544976009) and next prime (114544976071).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 178282 + ... + 510758.

It is an arithmetic number, because the mean of its divisors is an integer number (1683169875).

Almost surely, 2114544976040 is an apocalyptic number.

114544976040 is a gapful number since it is divisible by the number (10) 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 114544976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215445744000).

114544976040 is an abundant number, since it is smaller than the sum of its proper divisors (316346511960).

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

114544976040 is a wasteful number, since it uses less digits than its factorization.

114544976040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332537 (or 332527 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 114544976040 in words is "one hundred fourteen billion, five hundred forty-four million, nine hundred seventy-six thousand, forty".