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34121431224 = 2333236868243
BaseRepresentation
bin11111110001110010…
…111011100010111000
310021001222111022011000
4133301302323202320
51024340041244344
623401500405000
72315363244216
oct376162734270
9107058438130
1034121431224
111351a727341
126743246760
1332aa1c1cba
14191996bcb6
15d4a888a69
hex7f1cbb8b8

34121431224 has 64 divisors (see below), whose sum is σ = 98902713600. Its totient is φ = 10879295328.

The previous prime is 34121431147. The next prime is 34121431277. The reversal of 34121431224 is 42213412143.

34121431224 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 431 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429154 + ... + 3439089.

It is an arithmetic number, because the mean of its divisors is an integer number (1545354900).

Almost surely, 234121431224 is an apocalyptic number.

It is an amenable number.

34121431224 is an abundant number, since it is smaller than the sum of its proper divisors (64781282376).

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

34121431224 is a wasteful number, since it uses less digits than its factorization.

34121431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868281 (or 6868271 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 34121431224 its reverse (42213412143), we get a palindrome (76334843367).

The spelling of 34121431224 in words is "thirty-four billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 6868243 13736486 20604729 27472972 41209458 54945944 61814187 82418916 123628374 157969589 164837832 185442561 247256748 315939178 370885122 473908767 494513496 631878356 741770244 947817534 1263756712 1421726301 1483540488 1895635068 2843452602 3791270136 4265178903 5686905204 8530357806 11373810408 17060715612 34121431224