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114664440 = 233511253149
BaseRepresentation
bin1101101010110…
…10001111111000
321222202120001010
412311122033320
5213323230230
615213353520
72561426442
oct665321770
9258676033
10114664440
11597a8100
12324988a0
131a9a94a7
141132b492
15a0ee9b0
hex6d5a3f8

114664440 has 192 divisors, whose sum is σ = 387828000. Its totient is φ = 27089920.

The previous prime is 114664421. The next prime is 114664477. The reversal of 114664440 is 44466411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114664398 and 114664407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769486 + ... + 769634.

Almost surely, 2114664440 is an apocalyptic number.

114664440 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 114664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

114664440 is an abundant number, since it is smaller than the sum of its proper divisors (273163560).

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

114664440 is a wasteful number, since it uses less digits than its factorization.

114664440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 114664440 is about 10708.1482993093. The cubic root of 114664440 is about 485.8209640457.

The spelling of 114664440 in words is "one hundred fourteen million, six hundred sixty-four thousand, four hundred forty".