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114574373340 = 2235717291274357
BaseRepresentation
bin110101010110100101…
…0100011000111011100
3101221201212220012220220
41222231022203013130
53334122014421330
6124345034241340
711164155050610
oct1525512430734
9357655805826
10114574373340
1144655279549
121a256886250
13aa5c1139ab
14578c92d340
152ea89c7710
hex1aad2a31dc

114574373340 has 384 divisors, whose sum is σ = 404846346240. Its totient is φ = 23605198848.

The previous prime is 114574373321. The next prime is 114574373359. The reversal of 114574373340 is 43373475411.

It is an interprime number because it is at equal distance from previous prime (114574373321) and next prime (114574373359).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114574373292 and 114574373301.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 26294442 + ... + 26298798.

It is an arithmetic number, because the mean of its divisors is an integer number (1054287360).

Almost surely, 2114574373340 is an apocalyptic number.

114574373340 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 114574373340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202423173120).

114574373340 is an abundant number, since it is smaller than the sum of its proper divisors (290271972900).

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

114574373340 is a wasteful number, since it uses less digits than its factorization.

114574373340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 114574373340 in words is "one hundred fourteen billion, five hundred seventy-four million, three hundred seventy-three thousand, three hundred forty".