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1041411644 = 2271331412251
BaseRepresentation
bin111110000100101…
…010111000111100
32200120121012012122
4332010222320330
54113100133034
6251201022112
734543565360
oct7604527074
92616535178
101041411644
11494938a89
12250924938
131379a9410
149c44b2a0
156166162e
hex3e12ae3c

1041411644 has 96 divisors (see below), whose sum is σ = 2372923392. Its totient is φ = 388800000.

The previous prime is 1041411643. The next prime is 1041411661. The reversal of 1041411644 is 4461141401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041411643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461519 + ... + 463769.

It is an arithmetic number, because the mean of its divisors is an integer number (24717952).

It is a self-describing number.

Almost surely, 21041411644 is an apocalyptic number.

1041411644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041411644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186461696).

1041411644 is an abundant number, since it is smaller than the sum of its proper divisors (1331511748).

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

1041411644 is a wasteful number, since it uses less digits than its factorization.

1041411644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1041411644 is about 32270.9101823918. The cubic root of 1041411644 is about 1013.6176005438.

The spelling of 1041411644 in words is "one billion, forty-one million, four hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 41 52 62 82 91 124 164 182 217 287 364 403 434 533 574 806 868 1066 1148 1271 1612 2132 2251 2542 2821 3731 4502 5084 5642 7462 8897 9004 11284 14924 15757 16523 17794 29263 31514 33046 35588 58526 63028 66092 69781 92291 115661 117052 139562 184582 204841 231322 279124 369164 409682 462644 488467 646037 819364 907153 976934 1199783 1292074 1814306 1953868 2399566 2584148 2861021 3628612 4799132 5722042 6350071 8398481 11444084 12700142 16796962 20027147 25400284 33593924 37193273 40054294 74386546 80108588 148773092 260352911 520705822 1041411644