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2042413401 = 374114231667
BaseRepresentation
bin111100110111100…
…1100000101011001
312021100011100110210
41321233030011121
513140324212101
6534400001333
7101420141010
oct17157140531
95240140423
102042413401
11958986466
12490000249
132671a7552
14155379a77
15be48e7d6
hex79bcc159

2042413401 has 32 divisors (see below), whose sum is σ = 3192311808. Its totient is φ = 1137144960.

The previous prime is 2042413397. The next prime is 2042413427. The reversal of 2042413401 is 1043142402.

It is not a de Polignac number, because 2042413401 - 22 = 2042413397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2042413481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224370 + ... + 1226036.

It is an arithmetic number, because the mean of its divisors is an integer number (99759744).

Almost surely, 22042413401 is an apocalyptic number.

2042413401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2042413401 is a deficient number, since it is larger than the sum of its proper divisors (1149898407).

2042413401 is a wasteful number, since it uses less digits than its factorization.

2042413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042413401 is about 45193.0680635869. The cubic root of 2042413401 is about 1268.7650799861.

Adding to 2042413401 its reverse (1043142402), we get a palindrome (3085555803).

The spelling of 2042413401 in words is "two billion, forty-two million, four hundred thirteen thousand, four hundred one".

Divisors: 1 3 7 21 41 123 287 861 1423 1667 4269 5001 9961 11669 29883 35007 58343 68347 175029 205041 408401 478429 1225203 1435287 2372141 7116423 16604987 49814961 97257781 291773343 680804467 2042413401