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34121210656 = 2513181453161
BaseRepresentation
bin11111110001110010…
…000101101100100000
310021001222002002120211
4133301302011230200
51024340012220111
623401451543504
72315361335161
oct376162055440
9107058062524
1034121210656
111351a596655
12674315ab94
1332aa1457a0
141919911768
15d4a843521
hex7f1c85b20

34121210656 has 48 divisors (see below), whose sum is σ = 72743376888. Its totient is φ = 15661209600.

The previous prime is 34121210653. The next prime is 34121210657. The reversal of 34121210656 is 65601212143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8013114256 + 26108096400 = 89516^2 + 161580^2 .

It is a super-2 number, since 2×341212106562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34121210653) 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 7 ways as a sum of consecutive naturals, for example, 151285 + ... + 301876.

Almost surely, 234121210656 is an apocalyptic number.

It is an amenable number.

34121210656 is an abundant number, since it is smaller than the sum of its proper divisors (38622166232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34121210656 is a wasteful number, since it uses less digits than its factorization.

34121210656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453365 (or 453357 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 34121210656 its reverse (65601212143), we get a palindrome (99722422799).

The spelling of 34121210656 in words is "thirty-four billion, one hundred twenty-one million, two hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 181 208 362 416 724 1448 2353 2896 4706 5792 9412 18824 37648 75296 453161 906322 1812644 3625288 5891093 7250576 11782186 14501152 23564372 47128744 82022141 94257488 164044282 188514976 328088564 656177128 1066287833 1312354256 2132575666 2624708512 4265151332 8530302664 17060605328 34121210656