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5040130104 = 23324310311579
BaseRepresentation
bin1001011000110101…
…00100100000111000
3111000020220010201100
410230122210200320
540310233130404
62152043251400
7235620253602
oct45432444070
914006803640
105040130104
112157027389
12b87b19b60
1362426c709
1435b54a172
151e7731d39
hex12c6a4838

5040130104 has 96 divisors (see below), whose sum is σ = 13990204800. Its totient is φ = 1638342720.

The previous prime is 5040130099. The next prime is 5040130111. The reversal of 5040130104 is 4010310405.

It is a happy number.

It is a super-2 number, since 2×50401301042 = 50805822930494101632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3191187 + ... + 3192765.

It is an arithmetic number, because the mean of its divisors is an integer number (145731300).

Almost surely, 25040130104 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 5040130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995102400).

5040130104 is an abundant number, since it is smaller than the sum of its proper divisors (8950074696).

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

5040130104 is a wasteful number, since it uses less digits than its factorization.

5040130104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5040130104 is about 70993.8737075249. The cubic root of 5040130104 is about 1714.5385294046.

Adding to 5040130104 its reverse (4010310405), we get a palindrome (9050440509).

The spelling of 5040130104 in words is "five billion, forty million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1031 1032 1548 1579 2062 3093 3096 3158 4124 4737 6186 6316 8248 9279 9474 12372 12632 14211 18558 18948 24744 28422 37116 37896 44333 56844 67897 74232 88666 113688 132999 135794 177332 203691 265998 271588 354664 398997 407382 531996 543176 611073 797994 814764 1063992 1222146 1595988 1627949 1629528 2444292 3191976 3255898 4883847 4888584 6511796 9767694 13023592 14651541 19535388 29303082 39070776 58606164 70001807 117212328 140003614 210005421 280007228 420010842 560014456 630016263 840021684 1260032526 1680043368 2520065052 5040130104