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63141144 = 23311239171
BaseRepresentation
bin1111000011011…
…1010100011000
311101210220100220
43300313110120
5112131004034
610133200040
71364455653
oct360672430
9141726326
1063141144
1132706970
1219190020
1310109931
14855889a
155823749
hex3c37518

63141144 has 32 divisors (see below), whose sum is σ = 172203840. Its totient is φ = 19133600.

The previous prime is 63141119. The next prime is 63141181. The reversal of 63141144 is 44114136.

63141144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119322 + ... + 119849.

It is an arithmetic number, because the mean of its divisors is an integer number (5381370).

Almost surely, 263141144 is an apocalyptic number.

It is an amenable number.

63141144 is an abundant number, since it is smaller than the sum of its proper divisors (109062696).

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

63141144 is a wasteful number, since it uses less digits than its factorization.

63141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239191 (or 239187 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 63141144 is about 7946.1401950884. The cubic root of 63141144 is about 398.2026526190.

The spelling of 63141144 in words is "sixty-three million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 239171 478342 717513 956684 1435026 1913368 2630881 2870052 5261762 5740104 7892643 10523524 15785286 21047048 31570572 63141144