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2042424144 = 2432131108271
BaseRepresentation
bin111100110111100…
…1110101101010000
312021100011220012200
41321233032231100
513140330033034
6534400123200
7101420214225
oct17157165520
95240156180
102042424144
11958993542
12490006500
132671ac3c7
1415537d94c
15be492a99
hex79bceb50

2042424144 has 60 divisors (see below), whose sum is σ = 5759637312. Its totient is φ = 675604800.

The previous prime is 2042424113. The next prime is 2042424169. The reversal of 2042424144 is 4414242402.

2042424144 is a `hidden beast` number, since 2 + 0 + 4 + 242 + 414 + 4 = 666.

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, 35272 + ... + 72999.

Almost surely, 22042424144 is an apocalyptic number.

2042424144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042424144 is an abundant number, since it is smaller than the sum of its proper divisors (3717213168).

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

2042424144 is a wasteful number, since it uses less digits than its factorization.

2042424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108416 (or 108407 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2042424144 is about 45193.1869201542. The cubic root of 2042424144 is about 1268.7673045307.

Adding to 2042424144 its reverse (4414242402), we get a palindrome (6456666546).

The spelling of 2042424144 in words is "two billion, forty-two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 108271 216542 324813 433084 649626 866168 974439 1299252 1732336 1948878 2598504 3897756 5197008 7795512 14183501 15591024 28367002 42550503 56734004 85101006 113468008 127651509 170202012 226936016 255303018 340404024 510606036 680808048 1021212072 2042424144