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3423420243243 = 32711213376831367
BaseRepresentation
bin110001110100010011101…
…111110101110100101011
3110010021110001011021101100
4301310103233311310223
5422042131040240433
611140410400452443
7502222354640460
oct61642357656453
913107401137340
103423420243243
1110aa95652a500
1247359461a123
131baa9a308a30
14bb9a16db667
155e0b72adb13
hex31d13bf5d2b

3423420243243 has 288 divisors, whose sum is σ = 6885552780288. Its totient is φ = 1593727280640.

The previous prime is 3423420243167. The next prime is 3423420243247.

3423420243243 is a `hidden beast` number, since 3 + 423 + 4 + 202 + 4 + 3 + 24 + 3 = 666.

3423420243243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3423420243243 - 212 = 3423420239147 is a prime.

It is a super-2 number, since 2×34234202432432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3423420243198 and 3423420243207.

It is not an unprimeable number, because it can be changed into a prime (3423420243247) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2504330146 + ... + 2504331512.

It is an arithmetic number, because the mean of its divisors is an integer number (23908169376).

Almost surely, 23423420243243 is an apocalyptic number.

3423420243243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3423420243243 is an abundant number, since it is smaller than the sum of its proper divisors (3462132537045).

3423420243243 is a wasteful number, since it uses less digits than its factorization.

3423420243243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 3423420 and 243243, that added together give a palindrome (3666663).

The spelling of 3423420243243 in words is "three trillion, four hundred twenty-three billion, four hundred twenty million, two hundred forty-three thousand, two hundred forty-three".