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1144960992 = 25327567937
BaseRepresentation
bin100010000111110…
…1011011111100000
32221210110001012200
41010033223133200
54321102222432
6305340253200
740242002460
oct10417533740
92853401180
101144960992
1153833415a
1227b541200
13153293616
14ac0c3ba0
156a7b7a7c
hex443eb7e0

1144960992 has 72 divisors (see below), whose sum is σ = 3721129776. Its totient is φ = 327131136.

The previous prime is 1144960979. The next prime is 1144960997. The reversal of 1144960992 is 2990694411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144960997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281953 + ... + 285984.

It is an arithmetic number, because the mean of its divisors is an integer number (51682358).

Almost surely, 21144960992 is an apocalyptic number.

1144960992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144960992 is an abundant number, since it is smaller than the sum of its proper divisors (2576168784).

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

1144960992 is a wasteful number, since it uses less digits than its factorization.

1144960992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567960 (or 567949 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1144960992 is about 33837.2722304857. The cubic root of 1144960992 is about 1046.1570761456.

The spelling of 1144960992 in words is "one billion, one hundred forty-four million, nine hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 567937 1135874 1703811 2271748 3407622 3975559 4543496 5111433 6815244 7951118 9086992 10222866 11926677 13630488 15902236 18173984 20445732 23853354 27260976 31804472 35780031 40891464 47706708 54521952 63608944 71560062 81782928 95413416 127217888 143120124 163565856 190826832 286240248 381653664 572480496 1144960992