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61144116 = 22311463213
BaseRepresentation
bin1110100100111…
…1110000110100
311021001102221220
43221033300310
5111123102431
610022310340
71341500505
oct351176064
9137042856
1061144116
1131572530
12185883b0
13c88a967
148198bac
15557bb96
hex3a4fc34

61144116 has 24 divisors (see below), whose sum is σ = 155639904. Its totient is φ = 18528480.

The previous prime is 61144103. The next prime is 61144117.

61144116 is nontrivially palindromic in base 10.

61144116 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

61144116 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61144117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231475 + ... + 231738.

It is an arithmetic number, because the mean of its divisors is an integer number (6484996).

Almost surely, 261144116 is an apocalyptic number.

61144116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61144116 is an abundant number, since it is smaller than the sum of its proper divisors (94495788).

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

61144116 is a wasteful number, since it uses less digits than its factorization.

61144116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463231 (or 463229 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 61144116 is about 7819.4703145418. The cubic root of 61144116 is about 393.9594811759.

The spelling of 61144116 in words is "sixty-one million, one hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 463213 926426 1389639 1852852 2779278 5095343 5558556 10190686 15286029 20381372 30572058 61144116