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42014004344 = 2313321111329
BaseRepresentation
bin100111001000001110…
…101101010001111000
311000110000202120001222
4213020032231101320
51142021041114334
631145001531212
73015101100404
oct471016552170
9130400676058
1042014004344
11168aa8a0344
1281864a3b08
133c673c1000
142067c70104
15115d713d2e
hex9c83ad478

42014004344 has 64 divisors (see below), whose sum is σ = 85749972000. Its totient is φ = 19297474560.

The previous prime is 42014004313. The next prime is 42014004349. The reversal of 42014004344 is 44340041024.

It is a happy number.

It is a super-2 number, since 2×420140043442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014004349) 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 15 ways as a sum of consecutive naturals, for example, 3702872 + ... + 3714200.

Almost surely, 242014004344 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 42014004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42874986000).

42014004344 is an abundant number, since it is smaller than the sum of its proper divisors (43735967656).

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

42014004344 is a wasteful number, since it uses less digits than its factorization.

42014004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42014004344 its reverse (44340041024), we get a palindrome (86354045368).

The spelling of 42014004344 in words is "forty-two billion, fourteen million, four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 211 338 422 676 844 1352 1688 2197 2743 4394 5486 8788 10972 11329 17576 21944 22658 35659 45316 71318 90632 142636 147277 285272 294554 463567 589108 927134 1178216 1854268 1914601 2390419 3708536 3829202 4780838 7658404 9561676 15316808 19123352 24889813 31075447 49779626 62150894 99559252 124301788 199118504 248603576 403980811 807961622 1615923244 3231846488 5251750543 10503501086 21007002172 42014004344