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34100133424 = 2473173313399
BaseRepresentation
bin11111110000100001…
…101011111000110000
310021000111102021001121
4133300201223320300
51024314113232144
623355420112024
72315014231420
oct376041537060
9107014367047
1034100133424
11135096aaa55
126738095614
1332a5975c56
141916bc6480
15d48a7d384
hex7f086be30

34100133424 has 80 divisors (see below), whose sum is σ = 78055321600. Its totient is φ = 14122563840.

The previous prime is 34100133413. The next prime is 34100133467. The reversal of 34100133424 is 42433100143.

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, 2538277 + ... + 2551675.

It is an arithmetic number, because the mean of its divisors is an integer number (975691520).

Almost surely, 234100133424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027660800).

34100133424 is an abundant number, since it is smaller than the sum of its proper divisors (43955188176).

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

34100133424 is a wasteful number, since it uses less digits than its factorization.

34100133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34100133424 its reverse (42433100143), we get a palindrome (76533233567).

The spelling of 34100133424 in words is "thirty-four billion, one hundred million, one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 733 868 1466 1736 2932 3472 5131 5864 10262 11728 13399 20524 22723 26798 41048 45446 53596 82096 90892 93793 107192 159061 181784 187586 214384 318122 363568 375172 415369 636244 750344 830738 1272488 1500688 1661476 2544976 2907583 3322952 5815166 6645904 9821467 11630332 19642934 23260664 39285868 46521328 68750269 78571736 137500538 157143472 275001076 304465477 550002152 608930954 1100004304 1217861908 2131258339 2435723816 4262516678 4871447632 8525033356 17050066712 34100133424