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441386683144 = 23115015757763
BaseRepresentation
bin1100110110001001011…
…00100100101100001000
31120012021222220201011021
412123010230210230020
524212424442330034
6534434212242224
743613654621551
oct6330454445410
91505258821137
10441386683144
11160211303a70
1271663610374
1332812a88b74
14175129b7328
15b734ee46b4
hex66c4b24b08

441386683144 has 16 divisors (see below), whose sum is σ = 902836397520. Its totient is φ = 200630310480.

The previous prime is 441386683123. The next prime is 441386683189.

441386683144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441386683091 and 441386683100.

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, 2507878794 + ... + 2507878969.

It is an arithmetic number, because the mean of its divisors is an integer number (56427274845).

Almost surely, 2441386683144 is an apocalyptic number.

441386683144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441386683144 is an abundant number, since it is smaller than the sum of its proper divisors (461449714376).

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

441386683144 is a wasteful number, since it uses less digits than its factorization.

441386683144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015757780 (or 5015757776 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 441386683144 in words is "four hundred forty-one billion, three hundred eighty-six million, six hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 5015757763 10031515526 20063031052 40126062104 55173335393 110346670786 220693341572 441386683144