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34245454243 = 7112139713203
BaseRepresentation
bin11111111001001100…
…000010100110100011
310021101121212022202011
4133321030002212203
51030113314013433
623422050533351
72321430362320
oct377114024643
9107347768664
1034245454243
1113583736700
126778897257
1332c9ac70c0
14192c213b47
15d566d63cd
hex7f93029a3

34245454243 has 48 divisors (see below), whose sum is σ = 46390434048. Its totient is φ = 24599044800.

The previous prime is 34245454223. The next prime is 34245454247.

34245454243 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34245454243 is a prime.

It is a super-2 number, since 2×342454542432 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34245454196 and 34245454205.

It is not an unprimeable number, because it can be changed into a prime (34245454247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10690080 + ... + 10693282.

It is an arithmetic number, because the mean of its divisors is an integer number (966467376).

Almost surely, 234245454243 is an apocalyptic number.

34245454243 is a deficient number, since it is larger than the sum of its proper divisors (12144979805).

34245454243 is a wasteful number, since it uses less digits than its factorization.

34245454243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The spelling of 34245454243 in words is "thirty-four billion, two hundred forty-five million, four hundred fifty-four thousand, two hundred forty-three".

Divisors: 1 7 11 13 77 91 121 143 847 971 1001 1573 3203 6797 10681 11011 12623 22421 35233 41639 74767 88361 117491 138853 246631 291473 387563 458029 822437 971971 1527383 2712941 3110113 3206203 5038319 10691681 21770791 34211243 35268233 40431469 239478701 283020283 376323673 444746159 2634265711 3113223113 4892207749 34245454243