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480140144 = 24115351473
BaseRepresentation
bin11100100111100…
…101101101110000
31020110110122110022
4130213211231300
51440403441034
6115351023012
714620060331
oct3447455560
91213418408
10480140144
11227032440
1211496aa68
13786206c3
1447aa6288
152c243b2e
hex1c9e5b70

480140144 has 40 divisors (see below), whose sum is σ = 1034009712. Its totient is φ = 214123520.

The previous prime is 480140131. The next prime is 480140179. The reversal of 480140144 is 441041084.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16409 + ... + 35064.

Almost surely, 2480140144 is an apocalyptic number.

480140144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480140144 is an abundant number, since it is smaller than the sum of its proper divisors (553869568).

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

480140144 is a wasteful number, since it uses less digits than its factorization.

480140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51545 (or 51539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 480140144 is about 21912.1004013764. The cubic root of 480140144 is about 783.0497215427.

The spelling of 480140144 in words is "four hundred eighty million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 51473 102946 205892 411784 566203 823568 1132406 2264812 2728069 4529624 5456138 9059248 10912276 21824552 30008759 43649104 60017518 120035036 240070072 480140144