Search a number
-
+
242415505236 = 22361409380911
BaseRepresentation
bin1110000111000100010…
…1110000111101010100
3212011201100112121020210
43201301011300331110
512432431332131421
6303210353325420
723341165540062
oct3416105607524
9764640477223
10242415505236
1193898262063
123ab94566870
1319b23958978
14ba393c7032
15648c046576
hex3871170f54

242415505236 has 48 divisors (see below), whose sum is σ = 575056471808. Its totient is φ = 79460092800.

The previous prime is 242415505231. The next prime is 242415505253. The reversal of 242415505236 is 632505514242.

242415505236 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242415505194 and 242415505203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242415505231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955621 + ... + 3036531.

Almost surely, 2242415505236 is an apocalyptic number.

It is an amenable number.

242415505236 is an abundant number, since it is smaller than the sum of its proper divisors (332640966572).

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

242415505236 is a wasteful number, since it uses less digits than its factorization.

242415505236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85072 (or 85070 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 242415505236 in words is "two hundred forty-two billion, four hundred fifteen million, five hundred five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 4093 8186 12279 16372 24558 49116 80911 161822 242733 249673 323644 485466 499346 749019 970932 998692 1498038 2996076 4935571 9871142 14806713 19742284 29613426 59226852 331168723 662337446 993506169 1324674892 1987012338 3974024676 20201292103 40402584206 60603876309 80805168412 121207752618 242415505236