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42040202232 = 2337768132579
BaseRepresentation
bin100111001001110010…
…101001001111111000
311000111212001112211010
4213021302221033320
51142044242432412
631151335233520
73015536552160
oct471162511770
9130455045733
1042040202232
1116913664196
1281932188a0
133c6c964512
14206b52d5a0
151160b8b33c
hex9c9ca93f8

42040202232 has 64 divisors (see below), whose sum is σ = 120134188800. Its totient is φ = 12009553920.

The previous prime is 42040202227. The next prime is 42040202233. The reversal of 42040202232 is 23220204024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42040202199 and 42040202208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040202233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274119 + ... + 1306697.

It is an arithmetic number, because the mean of its divisors is an integer number (1877096700).

Almost surely, 242040202232 is an apocalyptic number.

42040202232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42040202232 is an abundant number, since it is smaller than the sum of its proper divisors (78093986568).

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

42040202232 is a wasteful number, since it uses less digits than its factorization.

42040202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40276 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42040202232 its reverse (23220204024), we get a palindrome (65260406256).

The spelling of 42040202232 in words is "forty-two billion, forty million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 7681 15362 23043 30724 32579 46086 53767 61448 65158 92172 97737 107534 130316 161301 184344 195474 215068 228053 260632 322602 390948 430136 456106 645204 684159 781896 912212 1290408 1368318 1824424 2736636 5473272 250239299 500478598 750717897 1000957196 1501435794 1751675093 2001914392 3002871588 3503350186 5255025279 6005743176 7006700372 10510050558 14013400744 21020101116 42040202232