Search a number
-
+
23044133134404 = 223210115277414857
BaseRepresentation
bin1010011110101011000010…
…10111101010000001000100
310000120222221021000022010100
411033111201113222001010
511010023341040300104
6121002154551524100
74565612046520224
oct517254127520104
9100528837008110
1023044133134404
117384a64438908
122702135689630
13cb208b25cc45
145994b0610084
1529e66dd84139
hex14f5615ea044

23044133134404 has 72 divisors (see below), whose sum is σ = 58831177263768. Its totient is φ = 7604808307200.

The previous prime is 23044133134397. The next prime is 23044133134447. The reversal of 23044133134404 is 40443133144032.

23044133134404 is a `hidden beast` number, since 2 + 30 + 44 + 133 + 13 + 440 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12138604402500 + 10905528731904 = 3484050^2 + 3302352^2 .

It is a super-2 number, since 2×230441331344042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55339744 + ... + 55754600.

It is an arithmetic number, because the mean of its divisors is an integer number (817099684219).

Almost surely, 223044133134404 is an apocalyptic number.

It is an amenable number.

23044133134404 is an abundant number, since it is smaller than the sum of its proper divisors (35787044129364).

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

23044133134404 is a wasteful number, since it uses less digits than its factorization.

23044133134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430245 (or 430240 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23044133134404 its reverse (40443133144032), we get a palindrome (63487266278436).

The spelling of 23044133134404 in words is "twenty-three trillion, forty-four billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 15277 30554 45831 61108 91662 137493 183324 274986 414857 549972 829714 1244571 1542977 1659428 2489142 3085954 3733713 4628931 4978284 6171908 7467426 9257862 13886793 14934852 18515724 27773586 41900557 55547172 83801114 125701671 167602228 251403342 377105013 502806684 754210026 1508420052 6337770389 12675540778 19013311167 25351081556 38026622334 57039933501 76053244668 114079867002 228159734004 640114809289 1280229618578 1920344427867 2560459237156 3840688855734 5761033283601 7681377711468 11522066567202 23044133134404