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11242414404 = 22321327188643
BaseRepresentation
bin10100111100001100…
…11010000101000100
31002000111120211021200
422132012122011010
5141011024230104
65055323542500
7545411642244
oct123606320504
932014524250
1011242414404
11484a060381
12221908aa30
1310a2212420
14789173b24
1545bec5b39
hex29e19a144

11242414404 has 72 divisors (see below), whose sum is σ = 30717628032. Its totient is φ = 3446400960.

The previous prime is 11242414387. The next prime is 11242414433. The reversal of 11242414404 is 40441424211.

It is a happy number.

11242414404 is a `hidden beast` number, since 1 + 1 + 242 + 4 + 14 + 404 = 666.

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, 82507 + ... + 171149.

Almost surely, 211242414404 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 11242414404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358814016).

11242414404 is an abundant number, since it is smaller than the sum of its proper divisors (19475213628).

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

11242414404 is a wasteful number, since it uses less digits than its factorization.

11242414404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88937 (or 88932 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 11242414404 its reverse (40441424211), we get a palindrome (51683838615).

The spelling of 11242414404 in words is "eleven billion, two hundred forty-two million, four hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1084 1626 2439 3252 3523 4878 7046 9756 10569 14092 21138 31707 42276 63414 88643 126828 177286 265929 354572 531858 797787 1063716 1152359 1595574 2304718 3191148 3457077 4609436 6914154 10371231 13828308 20742462 24022253 41484924 48044506 72066759 96089012 144133518 216200277 288267036 312289289 432400554 624578578 864801108 936867867 1249157156 1873735734 2810603601 3747471468 5621207202 11242414404