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42020401032 = 23321734330393
BaseRepresentation
bin100111001000100111…
…000110111110001000
311000110110210112200100
4213020213012332020
51142024210313112
631145351005400
73015206341551
oct471047067610
9130413715610
1042020401032
111690346a265
128188669860
133c6882072c
142068a57328
15115e0792dc
hex9c89c6f88

42020401032 has 48 divisors (see below), whose sum is σ = 120499682940. Its totient is φ = 13182870528.

The previous prime is 42020401009. The next prime is 42020401039. The reversal of 42020401032 is 23010402024.

42020401032 is a `hidden beast` number, since 420 + 204 + 0 + 10 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35401927716 + 6618473316 = 188154^2 + 81354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42020400996 and 42020401014.

It is not an unprimeable number, because it can be changed into a prime (42020401039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17163973 + ... + 17166420.

Almost surely, 242020401032 is an apocalyptic number.

It is an amenable number.

42020401032 is an abundant number, since it is smaller than the sum of its proper divisors (78479281908).

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

42020401032 is a wasteful number, since it uses less digits than its factorization.

42020401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34330422 (or 34330415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42020401032 its reverse (23010402024), we get a palindrome (65030803056).

The spelling of 42020401032 in words is "forty-two billion, twenty million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 34330393 68660786 102991179 137321572 205982358 274643144 308973537 411964716 583616681 617947074 823929432 1167233362 1235894148 1750850043 2334466724 2471788296 3501700086 4668933448 5252550129 7003400172 10505100258 14006800344 21010200516 42020401032