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2442158512442 = 2112291133079513
BaseRepresentation
bin100011100010011011111…
…111011001100100111010
322122110122020002112212122
4203202123333121210322
5310003020034344232
65105525004241242
7341303651564045
oct43423377314472
98573566075778
102442158512442
118617938a4600
12335381b40222
131493aa1bb95c
14862b5b7bc5c
15437d5b32312
hex2389bfd993a

2442158512442 has 48 divisors (see below), whose sum is σ = 4202243214120. Its totient is φ = 1062308459520.

The previous prime is 2442158512433. The next prime is 2442158512501.

2442158512442 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1512976260961 + 929182251481 = 1230031^2 + 963941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2442158512393 and 2442158512402.

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, 746723 + ... + 2332790.

Almost surely, 22442158512442 is an apocalyptic number.

2442158512442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442158512442 is a deficient number, since it is larger than the sum of its proper divisors (1760084701678).

2442158512442 is a wasteful number, since it uses less digits than its factorization.

2442158512442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079679 (or 3079668 counting only the distinct ones).

The product of its digits is 819200, while the sum is 44.

The spelling of 2442158512442 in words is "two trillion, four hundred forty-two billion, one hundred fifty-eight million, five hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 11 22 29 58 113 121 226 242 319 638 1243 2486 3277 3509 6554 7018 13673 27346 36047 72094 396517 793034 3079513 6159026 33874643 67749286 89305877 178611754 347984969 372621073 695969938 745242146 982364647 1964729294 3827834659 7655669318 10091564101 10806011117 20183128202 21612022234 42106181249 84212362498 111007205111 222014410222 1221079256221 2442158512442