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2423152513242 = 23237101279112907
BaseRepresentation
bin100011010000101111001…
…001010001000011011010
322120122120122221202101100
4203100233021101003122
5304200104020410432
65053103023532230
7340031656343466
oct43205711210332
98518518852340
102423152513242
1185472047104a
12331758a5a076
1314766b730696
14853d18c14a6
15430722b007c
hex2342f2510da

2423152513242 has 96 divisors (see below), whose sum is σ = 5447819954304. Its totient is φ = 777767184000.

The previous prime is 2423152513183. The next prime is 2423152513253.

2423152513242 is a `hidden beast` number, since 2 + 4 + 231 + 52 + 51 + 324 + 2 = 666.

2423152513242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2423152513197 and 2423152513206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187732953 + ... + 187745859.

It is an arithmetic number, because the mean of its divisors is an integer number (56748124524).

Almost surely, 22423152513242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423152513242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723909977152).

2423152513242 is an abundant number, since it is smaller than the sum of its proper divisors (3024667441062).

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

2423152513242 is a wasteful number, since it uses less digits than its factorization.

2423152513242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 15841 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2423152513242 in words is "two trillion, four hundred twenty-three billion, one hundred fifty-two million, five hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 2791 3737 5582 7474 8373 11211 12907 16746 22422 25119 25814 33633 38721 50238 67266 77442 103267 116163 206534 232326 281891 309801 477559 563782 619602 845673 929403 955118 1303607 1432677 1691346 1858806 2537019 2607214 2865354 3910821 4298031 5074038 7821642 8596062 10429967 11732463 20859934 23464926 31289901 36023437 48233459 62579802 72046874 93869703 96466918 108070311 144700377 187739406 216140622 289400754 324210933 434101131 648421866 868202262 1332867169 2665734338 3638367137 3998601507 7276734274 7997203014 10915101411 11995804521 21830202822 23991609042 32745304233 65490608466 134619584069 269239168138 403858752207 807717504414 1211576256621 2423152513242