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441376673144 = 23116991717443
BaseRepresentation
bin1100110110001000001…
…10011000110101111000
31120012021022002011000112
412123010012120311320
524212414412020034
6534433213523452
743613503551101
oct6330406306570
91505238064015
10441376673144
11160206697340
12716601a3588
13328109928a4
141751152d3a8
15b7341b87ce
hex66c4198d78

441376673144 has 32 divisors (see below), whose sum is σ = 902946320640. Its totient is φ = 200596783200.

The previous prime is 441376673081. The next prime is 441376673147.

441376673144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441376673092 and 441376673101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441376673147) 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, 256487 + ... + 973929.

It is an arithmetic number, because the mean of its divisors is an integer number (28217072520).

Almost surely, 2441376673144 is an apocalyptic number.

441376673144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441376673144 is an abundant number, since it is smaller than the sum of its proper divisors (461569647496).

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

441376673144 is a wasteful number, since it uses less digits than its factorization.

441376673144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724451 (or 724447 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

The spelling of 441376673144 in words is "four hundred forty-one billion, three hundred seventy-six million, six hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 6991 13982 27964 55928 76901 153802 307604 615208 717443 1434886 2869772 5739544 7891873 15783746 31567492 63134984 5015644013 10031288026 20062576052 40125152104 55172084143 110344168286 220688336572 441376673144