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444104131020 = 223511672885047
BaseRepresentation
bin1100111011001101010…
…10110100000111001100
31120110022101021100211220
412131212222310013030
524234011124143040
6540004004443340
744041212554244
oct6354652640714
91513271240756
10444104131020
11161386227860
12720a16a9550
1332b56a711a4
14176cd86cb24
15b8438742d0
hex6766ab41cc

444104131020 has 48 divisors (see below), whose sum is σ = 1356536256768. Its totient is φ = 107661607360.

The previous prime is 444104130983. The next prime is 444104131039. The reversal of 444104131020 is 20131401444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336441864 + ... + 336443183.

It is an arithmetic number, because the mean of its divisors is an integer number (28261172016).

Almost surely, 2444104131020 is an apocalyptic number.

It is an amenable number.

444104131020 is an abundant number, since it is smaller than the sum of its proper divisors (912432125748).

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

444104131020 is a wasteful number, since it uses less digits than its factorization.

444104131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672885070 (or 672885068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444104131020 its reverse (20131401444), we get a palindrome (464235532464).

The spelling of 444104131020 in words is "four hundred forty-four billion, one hundred four million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 672885047 1345770094 2018655141 2691540188 3364425235 4037310282 6728850470 7401735517 8074620564 10093275705 13457700940 14803471034 20186551410 22205206551 29606942068 37008677585 40373102820 44410413102 74017355170 88820826204 111026032755 148034710340 222052065510 444104131020