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441235532144 = 24112507020069
BaseRepresentation
bin1100110101110111010…
…11111110100101110000
31120011220110111102222002
412122323223332211300
524212122244012034
6534411212433132
743610141066231
oct6327353764560
91504813442862
10441235532144
11160143a55a90
1271620a787a8
13327ba6760c4
14174da8ad088
15b726ad8e7e
hex66bbafe970

441235532144 has 20 divisors (see below), whose sum is σ = 932611466040. Its totient is φ = 200561605440.

The previous prime is 441235532099. The next prime is 441235532191.

441235532144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441235532098 and 441235532107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1253509859 + ... + 1253510210.

It is an arithmetic number, because the mean of its divisors is an integer number (46630573302).

Almost surely, 2441235532144 is an apocalyptic number.

441235532144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441235532144 is an abundant number, since it is smaller than the sum of its proper divisors (491375933896).

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

441235532144 is a wasteful number, since it uses less digits than its factorization.

441235532144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507020088 (or 2507020082 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 441235 and 532144, that added together give a palindrome (973379).

The spelling of 441235532144 in words is "four hundred forty-one billion, two hundred thirty-five million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2507020069 5014040138 10028080276 20056160552 27577220759 40112321104 55154441518 110308883036 220617766072 441235532144