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442245542244 = 223114873368749
BaseRepresentation
bin1100110111101111110…
…00110111000101100100
31120021111212000021100120
412123313320313011210
524221204324322434
6535055332441540
743644154041132
oct6336770670544
91507455007316
10442245542244
11160612096580
12718631792b0
133291b9a960c
1417594aa4752
15b7855e6349
hex66f7e37164

442245542244 has 48 divisors (see below), whose sum is σ = 1125755400000. Its totient is φ = 134009101440.

The previous prime is 442245542243. The next prime is 442245542261.

442245542244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4422455422442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442245542196 and 442245542205.

It is not an unprimeable number, because it can be changed into a prime (442245542243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6398382 + ... + 6467130.

It is an arithmetic number, because the mean of its divisors is an integer number (23453237500).

Almost surely, 2442245542244 is an apocalyptic number.

442245542244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442245542244 is an abundant number, since it is smaller than the sum of its proper divisors (683509857756).

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

442245542244 is a wasteful number, since it uses less digits than its factorization.

442245542244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117500 (or 117498 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 442245 and 542244, that added together give a palindrome (984489).

The spelling of 442245542244 in words is "four hundred forty-two billion, two hundred forty-five million, five hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 48733 68749 97466 137498 146199 194932 206247 274996 292398 412494 536063 584796 756239 824988 1072126 1512478 1608189 2144252 2268717 3024956 3216378 4537434 6432756 9074868 3350345017 6700690034 10051035051 13401380068 20102070102 36853795187 40204140204 73707590374 110561385561 147415180748 221122771122 442245542244