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34133211144 = 23324311024939
BaseRepresentation
bin11111110010011111…
…110111100000001000
310021002210122210011100
4133302133313200020
51024401100224034
623403001101400
72315565336054
oct376237674010
9107083583140
1034133211144
111352634280a
126747187860
1332ac787a76
14191b356c64
15d4b914099
hex7f27f7808

34133211144 has 48 divisors (see below), whose sum is σ = 94593985200. Its totient is φ = 11113137504.

The previous prime is 34133211127. The next prime is 34133211169. The reversal of 34133211144 is 44111233143.

It is a super-2 number, since 2×341332111442 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5509374 + ... + 5515565.

It is an arithmetic number, because the mean of its divisors is an integer number (1970708025).

Almost surely, 234133211144 is an apocalyptic number.

It is an amenable number.

34133211144 is an abundant number, since it is smaller than the sum of its proper divisors (60460774056).

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

34133211144 is a wasteful number, since it uses less digits than its factorization.

34133211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024994 (or 11024987 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 34133211144 its reverse (44111233143), we get a palindrome (78244444287).

The spelling of 34133211144 in words is "thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 11024939 22049878 33074817 44099756 66149634 88199512 99224451 132299268 198448902 264598536 396897804 474072377 793795608 948144754 1422217131 1896289508 2844434262 3792579016 4266651393 5688868524 8533302786 11377737048 17066605572 34133211144