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42012024144 = 2433723655419
BaseRepresentation
bin100111001000000111…
…001001110101010000
311000102220000221202020
4213020013021311100
51142020034233034
631144451251440
73015045212256
oct471007116520
9130386027666
1042012024144
11168a9768612
1281858a9b80
133c66b798ac
1420678b65d6
15115d472249
hex9c81c9d50

42012024144 has 40 divisors (see below), whose sum is σ = 111464339040. Its totient is φ = 13625520768.

The previous prime is 42012024143. The next prime is 42012024151. The reversal of 42012024144 is 44142021024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012024143) 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, 11825934 + ... + 11829485.

It is an arithmetic number, because the mean of its divisors is an integer number (2786608476).

Almost surely, 242012024144 is an apocalyptic number.

It is an amenable number.

42012024144 is an abundant number, since it is smaller than the sum of its proper divisors (69452314896).

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

42012024144 is a wasteful number, since it uses less digits than its factorization.

42012024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23655467 (or 23655461 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42012024144 its reverse (44142021024), we get a palindrome (86154045168).

The spelling of 42012024144 in words is "forty-two billion, twelve million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 23655419 47310838 70966257 94621676 141932514 189243352 283865028 378486704 567730056 875250503 1135460112 1750501006 2625751509 3501002012 5251503018 7002004024 10503006036 14004008048 21006012072 42012024144