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2042004144 = 243291466957
BaseRepresentation
bin111100110110110…
…1000001010110000
312021022101120002010
41321231220022300
513140223113034
6534343122520
7101413514565
oct17155501260
95238346063
102042004144
11958726a34
1248ba43440
1326709319b
141552b086c
15be40d3e9
hex79b682b0

2042004144 has 40 divisors (see below), whose sum is σ = 5457083760. Its totient is φ = 657196288.

The previous prime is 2042004127. The next prime is 2042004161. The reversal of 2042004144 is 4414002402.

It is an interprime number because it is at equal distance from previous prime (2042004127) and next prime (2042004161).

It is a super-2 number, since 2×20420041442 = 8339561848226345472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042004144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732087 + ... + 734870.

It is an arithmetic number, because the mean of its divisors is an integer number (136427094).

Almost surely, 22042004144 is an apocalyptic number.

2042004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042004144 is an abundant number, since it is smaller than the sum of its proper divisors (3415079616).

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

2042004144 is a wasteful number, since it uses less digits than its factorization.

2042004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466997 (or 1466991 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2042004144 is about 45188.5399631367. The cubic root of 2042004144 is about 1268.6803296484.

Adding to 2042004144 its reverse (4414002402), we get a palindrome (6456006546).

The spelling of 2042004144 in words is "two billion, forty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1466957 2933914 4400871 5867828 8801742 11735656 17603484 23471312 35206968 42541753 70413936 85083506 127625259 170167012 255250518 340334024 510501036 680668048 1021002072 2042004144