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2042041144 = 2311131785001
BaseRepresentation
bin111100110110111…
…0001001100111000
312021022110102211111
41321231301030320
513140230304034
6534344010104
7101414030503
oct17155611470
95238412744
102042041144
11958751810
1248ba60934
132670a6c90
141552c013a
15be419364
hex79b71338

2042041144 has 32 divisors (see below), whose sum is σ = 4498205040. Its totient is φ = 856800000.

The previous prime is 2042041123. The next prime is 2042041151. The reversal of 2042041144 is 4411402402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 891357 + ... + 893644.

Almost surely, 22042041144 is an apocalyptic number.

It is an amenable number.

2042041144 is an abundant number, since it is smaller than the sum of its proper divisors (2456163896).

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

2042041144 is a wasteful number, since it uses less digits than its factorization.

2042041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785031 (or 1785027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2042041144 is about 45188.9493571161. The cubic root of 2042041144 is about 1268.6879922003.

Adding to 2042041144 its reverse (4411402402), we get a palindrome (6453443546).

It can be divided in two parts, 2042041 and 144, that multiplied together give a square (294053904 = 171482).

The spelling of 2042041144 in words is "two billion, forty-two million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1785001 3570002 7140004 14280008 19635011 23205013 39270022 46410026 78540044 92820052 157080088 185640104 255255143 510510286 1021020572 2042041144