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144461052 = 223240110007
BaseRepresentation
bin10001001110001…
…00110011111100
3101001211101022100
420213010303330
5243440223202
622200145100
73402620151
oct1047046374
9331741270
10144461052
11745a97aa
1240468190
1323c0ca18
1415286228
15ca3841c
hex89c4cfc

144461052 has 36 divisors (see below), whose sum is σ = 366112656. Its totient is φ = 48028800.

The previous prime is 144461041. The next prime is 144461069. The reversal of 144461052 is 250164441.

144461052 is a `hidden beast` number, since 1 + 4 + 44 + 610 + 5 + 2 = 666.

144461052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9433 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (10169796).

Almost surely, 2144461052 is an apocalyptic number.

144461052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144461052 is an abundant number, since it is smaller than the sum of its proper divisors (221651604).

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

144461052 is a wasteful number, since it uses less digits than its factorization.

144461052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144461052 is about 12019.1951477626. The cubic root of 144461052 is about 524.7070801353.

The spelling of 144461052 in words is "one hundred forty-four million, four hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7218 10007 14436 20014 30021 40028 60042 90063 120084 180126 360252 4012807 8025614 12038421 16051228 24076842 36115263 48153684 72230526 144461052