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42131204024 = 2371366187553
BaseRepresentation
bin100111001111001101…
…110010011110111000
311000202012021220210212
4213033031302132320
51142241042012044
631204345530252
73021023216420
oct471715623670
9130665256725
1042131204024
111695aa6a188
1281b97a3988
133c85777430
14207965b480
151168b64a9e
hex9cf3727b8

42131204024 has 64 divisors (see below), whose sum is σ = 97374056640. Its totient is φ = 16641884160.

The previous prime is 42131204021. The next prime is 42131204107. The reversal of 42131204024 is 42040213124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131204021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437432 + ... + 524984.

It is an arithmetic number, because the mean of its divisors is an integer number (1521469635).

Almost surely, 242131204024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48687028320).

42131204024 is an abundant number, since it is smaller than the sum of its proper divisors (55242852616).

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

42131204024 is a wasteful number, since it uses less digits than its factorization.

42131204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88240 (or 88236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42131204024 its reverse (42040213124), we get a palindrome (84171417148).

The spelling of 42131204024 in words is "forty-two billion, one hundred thirty-one million, two hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 661 728 1322 2644 4627 5288 8593 9254 17186 18508 34372 37016 60151 68744 87553 120302 175106 240604 350212 481208 612871 700424 1138189 1225742 2276378 2451484 4552756 4902968 7967323 9105512 15934646 31869292 57872533 63738584 115745066 231490132 405107731 462980264 752342929 810215462 1504685858 1620430924 3009371716 3240861848 5266400503 6018743432 10532801006 21065602012 42131204024