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42012547984431 = 3216674603608359
BaseRepresentation
bin10011000110101110011101…
…11111111010110000101111
312111202100201201000111221200
421203113032333322300233
521001313144241000211
6225204144220100543
711564210050463553
oct1143271677726057
9174670651014850
1042012547984431
1112428470088322
124866391394753
131a599c667959b
14a535bd66d863
154ccc99610b56
hex2635ceffac2f

42012547984431 has 24 divisors (see below), whose sum is σ = 60734486616960. Its totient is φ = 27985436505936.

The previous prime is 42012547984427. The next prime is 42012547984457. The reversal of 42012547984431 is 13448974521024.

It is a happy number.

42012547984431 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 2 + 547 + 98 + 4 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 42012547984431 - 22 = 42012547984427 is a prime.

It is a super-2 number, since 2×420125479844312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012547984331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68754630 + ... + 69362988.

It is an arithmetic number, because the mean of its divisors is an integer number (2530603609040).

Almost surely, 242012547984431 is an apocalyptic number.

42012547984431 is a deficient number, since it is larger than the sum of its proper divisors (18721938632529).

42012547984431 is a wasteful number, since it uses less digits than its factorization.

42012547984431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614635 (or 614632 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42012547984431 in words is "forty-two trillion, twelve billion, five hundred forty-seven million, nine hundred eighty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 1667 4603 5001 13809 15003 41427 608359 1825077 5475231 7673201 23019603 69058809 1014134453 2800276477 3042403359 8400829431 9127210077 25202488293 4668060887159 14004182661477 42012547984431