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2142444004 = 223773198301
BaseRepresentation
bin111111110110011…
…0001100111100100
312112022101102122221
41333230301213210
513341431202004
6552332002124
7104043321301
oct17754614744
95468342587
102142444004
119aa398988
124b9600344
13281b2bc5c
141647780a8
15c814d354
hex7fb319e4

2142444004 has 24 divisors (see below), whose sum is σ = 3903376568. Its totient is φ = 1027987200.

The previous prime is 2142444001. The next prime is 2142444011. The reversal of 2142444004 is 4004442412.

It can be written as a sum of positive squares in 4 ways, for example, as 200279104 + 1942164900 = 14152^2 + 44070^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2142444004.

It is not an unprimeable number, because it can be changed into a prime (2142444001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88347 + ... + 109954.

Almost surely, 22142444004 is an apocalyptic number.

It is an amenable number.

2142444004 is a deficient number, since it is larger than the sum of its proper divisors (1760932564).

2142444004 is a wasteful number, since it uses less digits than its factorization.

2142444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198415 (or 198413 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2142444004 is about 46286.5423638448. The cubic root of 2142444004 is about 1289.1491302237.

Adding to 2142444004 its reverse (4004442412), we get a palindrome (6146886416).

The spelling of 2142444004 in words is "two billion, one hundred forty-two million, four hundred forty-four thousand, four".

Divisors: 1 2 4 37 73 74 146 148 292 2701 5402 10804 198301 396602 793204 7337137 14475973 14674274 28951946 29348548 57903892 535611001 1071222002 2142444004