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441352253144 = 231114813386473
BaseRepresentation
bin1100110110000101010…
…01001110111011011000
31120012012121010111002002
412123002221032323120
524212342134100034
6534430542300132
743613056152545
oct6330251167330
91505177114062
10441352253144
111601a3928220
1271653b87648
13328088c269a
141750c1b3bcc
15b731e92e7e
hex66c2a4eed8

441352253144 has 32 divisors (see below), whose sum is σ = 903375804240. Its totient is φ = 200479142400.

The previous prime is 441352253143. The next prime is 441352253149.

441352253144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4413522531442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441352253098 and 441352253107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441352253143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562909 + ... + 1823564.

Almost surely, 2441352253144 is an apocalyptic number.

441352253144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441352253144 is an abundant number, since it is smaller than the sum of its proper divisors (462023551096).

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

441352253144 is a wasteful number, since it uses less digits than its factorization.

441352253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387971 (or 3387967 counting only the distinct ones).

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

It can be divided in two parts, 441352 and 253144, that added together give a palindrome (694496).

The spelling of 441352253144 in words is "four hundred forty-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 1481 2962 5924 11848 16291 32582 65164 130328 3386473 6772946 13545892 27091784 37251203 74502406 149004812 298009624 5015366513 10030733026 20061466052 40122932104 55169031643 110338063286 220676126572 441352253144