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1000442114 = 27259712437
BaseRepresentation
bin111011101000011…
…000100100000010
32120201111201120122
4323220120210002
54022103121424
6243134540242
733535421600
oct7350304402
92521451518
101000442114
114737a5a71
1223b067682
1312c3634a9
1496c24870
155cc6c45e
hex3ba18902

1000442114 has 48 divisors (see below), whose sum is σ = 1800999360. Its totient is φ = 415386720.

The previous prime is 1000442071. The next prime is 1000442117. The reversal of 1000442114 is 4112440001.

It is a junction number, because it is equal to n+sod(n) for n = 1000442092 and 1000442101.

It is not an unprimeable number, because it can be changed into a prime (1000442117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409304 + ... + 411740.

It is an arithmetic number, because the mean of its divisors is an integer number (37520820).

Almost surely, 21000442114 is an apocalyptic number.

1000442114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1000442114 is a deficient number, since it is larger than the sum of its proper divisors (800557246).

1000442114 is a wasteful number, since it uses less digits than its factorization.

1000442114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1000442114 is about 31629.7662653394. The cubic root of 1000442114 is about 1000.1473496204.

Adding to 1000442114 its reverse (4112440001), we get a palindrome (5112882115).

The spelling of 1000442114 in words is "one billion, four hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 7 14 49 59 71 98 118 142 413 497 826 994 2437 2891 3479 4189 4874 5782 6958 8378 17059 29323 34118 58646 119413 143783 173027 205261 238826 287566 346054 410522 1006481 1211189 2012962 2422378 7045367 8478323 10208593 14090734 16956646 20417186 71460151 142920302 500221057 1000442114