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3145225413 = 3112328114747
BaseRepresentation
bin1011101101111000…
…0101010011000101
322010012022000011010
42323132011103011
522420134203123
61240033032433
7140640655251
oct27336052305
98105260133
103145225413
111374441450
127393b5719
133b1801135
1421ba0b261
151361cd993
hexbb7854c5

3145225413 has 32 divisors (see below), whose sum is σ = 4791094272. Its totient is φ = 1816707200.

The previous prime is 3145225409. The next prime is 3145225417.

3145225413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3145225409) and next prime (3145225417).

It is not a de Polignac number, because 3145225413 - 22 = 3145225409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145225417) 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 31 ways as a sum of consecutive naturals, for example, 205906 + ... + 220652.

It is an arithmetic number, because the mean of its divisors is an integer number (149721696).

Almost surely, 23145225413 is an apocalyptic number.

3145225413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3145225413 is a deficient number, since it is larger than the sum of its proper divisors (1645868859).

3145225413 is a wasteful number, since it uses less digits than its factorization.

3145225413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15065.

The product of its digits is 14400, while the sum is 30.

The square root of 3145225413 is about 56082.3092695014. The cubic root of 3145225413 is about 1465.1561937469.

It can be divided in two parts, 31452 and 25413, that added together give a palindrome (56865).

The spelling of 3145225413 in words is "three billion, one hundred forty-five million, two hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 3 11 23 33 69 253 281 759 843 3091 6463 9273 14747 19389 44241 71093 162217 213279 339181 486651 1017543 3730991 4143907 11192973 12431721 45582977 95309861 136748931 285929583 1048408471 3145225413