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442525525244 = 2211231014329487
BaseRepresentation
bin1100111000010001001…
…00111010010011111100
31120022020100211212211022
412130020210322103330
524222243013301434
6535143213443312
743654123621115
oct6341044722374
91508210755738
10442525525244
11160746138990
1271920aa0538
13329649b932a
14175bdd4720c
15b79ee9e22e
hex670893a4fc

442525525244 has 48 divisors (see below), whose sum is σ = 890281276416. Its totient is φ = 190497384000.

The previous prime is 442525525243. The next prime is 442525525291.

442525525244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442525525195 and 442525525204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442525525243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062532 + ... + 2266955.

It is an arithmetic number, because the mean of its divisors is an integer number (18547526592).

Almost surely, 2442525525244 is an apocalyptic number.

442525525244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442525525244 is an abundant number, since it is smaller than the sum of its proper divisors (447755751172).

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

442525525244 is a wasteful number, since it uses less digits than its factorization.

442525525244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329626 (or 4329624 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 44.

It can be divided in two parts, 442525 and 525244, that added together give a palindrome (967769).

The spelling of 442525525244 in words is "four hundred forty-two billion, five hundred twenty-five million, five hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 101 202 253 404 506 1012 1111 2222 2323 4444 4646 9292 25553 51106 102212 4329487 8658974 17317948 47624357 95248714 99578201 190497428 199156402 398312804 437278187 874556374 1095360211 1749112748 2190720422 4381440844 4810060057 9620120114 10057398301 19240240228 20114796602 40229593204 110631381311 221262762622 442525525244