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114326571240 = 2332571929137601
BaseRepresentation
bin110101001111001100…
…1010000100011101000
3101221002121121120100100
41222132121100203220
53333120100234430
6124304303105400
711155055551530
oct1523631204350
9357077546310
10114326571240
1144538407122
121a1a78a2260
13aa1c99082b
145767a664c0
152e91d79960
hex1a9e6508e8

114326571240 has 768 divisors, whose sum is σ = 466554816000. Its totient is φ = 23688806400.

The previous prime is 114326571223. The next prime is 114326571263. The reversal of 114326571240 is 42175623411.

114326571240 is a `hidden beast` number, since 1 + 1 + 43 + 2 + 6 + 571 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114326571195 and 114326571204.

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 191 ways as a sum of consecutive naturals, for example, 190226940 + ... + 190227540.

It is an arithmetic number, because the mean of its divisors is an integer number (607493250).

Almost surely, 2114326571240 is an apocalyptic number.

114326571240 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 114326571240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233277408000).

114326571240 is an abundant number, since it is smaller than the sum of its proper divisors (352228244760).

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

114326571240 is a wasteful number, since it uses less digits than its factorization.

114326571240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 114326571240 in words is "one hundred fourteen billion, three hundred twenty-six million, five hundred seventy-one thousand, two hundred forty".