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2441135426661 = 3237421166910433
BaseRepresentation
bin100011100001011111000…
…000101000110001100101
322122100222220222102000200
4203201133000220301211
5304443421132123121
65105235300101113
7341236416522501
oct43413700506145
98570886872020
102441135426661
11861309343068
12335137394799
1314927625a959
1486219d41301
1543775de0a26
hex2385f028c65

2441135426661 has 48 divisors (see below), whose sum is σ = 3632509037040. Its totient is φ = 1578580254720.

The previous prime is 2441135426623. The next prime is 2441135426663. The reversal of 2441135426661 is 1666245311442.

It can be written as a sum of positive squares in 8 ways, for example, as 3883657761 + 2437251768900 = 62319^2 + 1561170^2 .

It is a de Polignac number, because none of the positive numbers 2k-2441135426661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441135426663) 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, 233976901 + ... + 233987333.

It is an arithmetic number, because the mean of its divisors is an integer number (75677271605).

Almost surely, 22441135426661 is an apocalyptic number.

It is an amenable number.

2441135426661 is a deficient number, since it is larger than the sum of its proper divisors (1191373610379).

2441135426661 is a wasteful number, since it uses less digits than its factorization.

2441135426661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 12563 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 2441135426661 in words is "two trillion, four hundred forty-one billion, one hundred thirty-five million, four hundred twenty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 37 111 333 421 1263 1669 3789 5007 10433 15021 15577 31299 46731 61753 93897 140193 185259 386021 555777 702649 1158063 2107947 3474189 4392293 6323841 13176879 17412677 25998013 39530637 52238031 77994039 156714093 162514841 233982117 487544523 644269049 1462633569 1932807147 5798421441 7330737017 21992211051 65976633153 271237269629 813711808887 2441135426661