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3434431230231 = 3311075775871019
BaseRepresentation
bin110001111110100100000…
…011011011000100010111
3110011022212102021100221020
4301332210003123010113
5422232203343331411
611145431140252223
7503062256533401
oct61764403330427
913138772240836
103434431230231
111104596991a51
124757480a1073
131bbb335ac251
14bc327c2bb71
155e50dcbd606
hex31fa40db117

3434431230231 has 64 divisors (see below), whose sum is σ = 4792245534720. Its totient is φ = 2185370081280.

The previous prime is 3434431230193. The next prime is 3434431230247. The reversal of 3434431230231 is 1320321344343.

It is a happy number.

3434431230231 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3434431230231 - 226 = 3434364121367 is a prime.

It is a super-4 number, since 4×34344312302314 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3434431230192 and 3434431230201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434431230031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3370393240 + ... + 3370394258.

It is an arithmetic number, because the mean of its divisors is an integer number (74878836480).

Almost surely, 23434431230231 is an apocalyptic number.

3434431230231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3434431230231 is a deficient number, since it is larger than the sum of its proper divisors (1357814304489).

3434431230231 is a wasteful number, since it uses less digits than its factorization.

3434431230231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 3434431230231 its reverse (1320321344343), we get a palindrome (4754752574574).

The spelling of 3434431230231 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-one million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 31 93 107 321 577 587 1019 1731 1761 3057 3317 9951 17887 18197 31589 53661 54591 61739 62809 94767 109033 185217 188427 327099 338699 587963 598153 1016097 1763889 1794459 1913909 1947079 3380023 5741727 5841237 10140069 10499669 18226853 18542743 31499007 36240793 54680559 55628229 62912041 64002371 108722379 188736123 192007113 345134281 1035402843 1123464583 1950273271 1984073501 3370393749 5850819813 5952220503 10699162711 32097488133 36929368067 110788104201 1144810410077 3434431230231