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442878878244 = 223113790679541
BaseRepresentation
bin1100111000111011010…
…00110110001000100100
31120100010222202002000110
412130131220312020210
524224003443100434
6535242235213020
743665644231565
oct6343550661044
91510128662013
10442878878244
11160907643260
12719bb2a7170
13329bcc7774a
1417614c4816c
15b7c0eeb4e9
hex671da36224

442878878244 has 48 divisors (see below), whose sum is σ = 1157796392256. Its totient is φ = 130578537600.

The previous prime is 442878878203. The next prime is 442878878261.

442878878244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4428788782442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45334887 + ... + 45344654.

It is an arithmetic number, because the mean of its divisors is an integer number (24120758172).

Almost surely, 2442878878244 is an apocalyptic number.

442878878244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442878878244 is an abundant number, since it is smaller than the sum of its proper divisors (714917514012).

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

442878878244 is a wasteful number, since it uses less digits than its factorization.

442878878244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90679596 (or 90679594 counting only the distinct ones).

The product of its digits is 205520896, while the sum is 66.

The spelling of 442878878244 in words is "four hundred forty-two billion, eight hundred seventy-eight million, eight hundred seventy-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 90679541 181359082 272038623 362718164 544077246 997474951 1088154492 1994949902 2992424853 3355143017 3989899804 5984849706 6710286034 10065429051 11969699412 13420572068 20130858102 36906573187 40261716204 73813146374 110719719561 147626292748 221439439122 442878878244