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15015420234 = 23223139311839
BaseRepresentation
bin11011111101111110…
…10010000101001010
31102202110011101021100
431332333102011022
5221222421421414
610521544322230
71041044652243
oct157677220512
942673141240
1015015420234
1164058a4511
122ab0773376
131553ab7a59
14a262b9cca
155cd35d609
hex37efd214a

15015420234 has 96 divisors (see below), whose sum is σ = 34342963200. Its totient is φ = 4732152480.

The previous prime is 15015420209. The next prime is 15015420239. The reversal of 15015420234 is 43202451051.

15015420234 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 5 + 420 + 234 = 666.

It is a super-2 number, since 2×150154202342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15015420198 and 15015420207.

It is not an unprimeable number, because it can be changed into a prime (15015420239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17896387 + ... + 17897225.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 215015420234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15015420234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

15015420234 is an abundant number, since it is smaller than the sum of its proper divisors (19327542966).

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

15015420234 is a wasteful number, since it uses less digits than its factorization.

15015420234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15015420234 its reverse (43202451051), we get a palindrome (58217871285).

The spelling of 15015420234 in words is "fifteen billion, fifteen million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 139 207 278 311 414 417 622 834 839 933 1251 1678 1866 2502 2517 2799 3197 5034 5598 6394 7153 7551 9591 14306 15102 19182 19297 21459 28773 38594 42918 43229 57546 57891 64377 86458 115782 116621 128754 129687 173673 233242 259374 260929 347346 349863 389061 521858 699726 778122 782787 994267 1049589 1565574 1988534 2099178 2348361 2682283 2982801 4696722 5364566 5965602 6001367 8046849 8948403 12002734 16093698 17896806 18004101 24140547 36008202 36269131 48281094 54012303 72538262 108024606 108807393 217614786 326422179 652844358 834190013 1668380026 2502570039 5005140078 7507710117 15015420234