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114723144352 = 25173141277599
BaseRepresentation
bin110101011011000001…
…0000100001010100000
3101222010020211120101101
41222312002010022200
53334423111104402
6124411511044144
711200642431415
oct1526602041240
9358106746341
10114723144352
11447212513a3
121a298670654
13aa83ba238b
1457a45b810c
152eb6ab2b87
hex1ab60842a0

114723144352 has 192 divisors, whose sum is σ = 254219212800. Its totient is φ = 50702745600.

The previous prime is 114723144323. The next prime is 114723144433. The reversal of 114723144352 is 253441327411.

It is a super-2 number, since 2×1147231443522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191524149 + ... + 191524747.

It is an arithmetic number, because the mean of its divisors is an integer number (1324058400).

Almost surely, 2114723144352 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 114723144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127109606400).

114723144352 is an abundant number, since it is smaller than the sum of its proper divisors (139496068448).

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

114723144352 is a wasteful number, since it uses less digits than its factorization.

114723144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 114723144352 in words is "one hundred fourteen billion, seven hundred twenty-three million, one hundred forty-four thousand, three hundred fifty-two".