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42416013231 = 3319490916843
BaseRepresentation
bin100111100000001100…
…001111111110101111
311001111001012201121000
4213200030033332233
51143331444410411
631252522211343
73031052110104
oct474014177657
9131431181530
1042416013231
1116a96808599
128279053b53
133ccc786aa7
1420a53d8aab
151183b72956
hex9e030ffaf

42416013231 has 32 divisors (see below), whose sum is σ = 66163232000. Its totient is φ = 26782013664.

The previous prime is 42416013223. The next prime is 42416013253. The reversal of 42416013231 is 13231061424.

It is a happy number.

42416013231 is a `hidden beast` number, since 4 + 2 + 416 + 0 + 13 + 231 = 666.

It is not a de Polignac number, because 42416013231 - 23 = 42416013223 is a prime.

It is a super-2 number, since 2×424160132312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42416013195 and 42416013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42416013281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2509896 + ... + 2526738.

It is an arithmetic number, because the mean of its divisors is an integer number (2067601000).

Almost surely, 242416013231 is an apocalyptic number.

42416013231 is a deficient number, since it is larger than the sum of its proper divisors (23747218769).

42416013231 is a wasteful number, since it uses less digits than its factorization.

42416013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780 (or 21774 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42416013231 its reverse (13231061424), we get a palindrome (55647074655).

The spelling of 42416013231 in words is "forty-two billion, four hundred sixteen million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 4909 14727 16843 44181 50529 93271 132543 151587 279813 320017 454761 839439 960051 2518317 2880153 8640459 82682287 248046861 744140583 1570963453 2232421749 4712890359 14138671077 42416013231