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1042014144 = 26316093373
BaseRepresentation
bin111110000110111…
…101111111000000
32200121201210200110
4332012331333000
54113223423034
6251221551320
734551655053
oct7606757700
92617653613
101042014144
1149520a716
12250b75540
13137b5a722
149c566a9a
156172ede9
hex3e1bdfc0

1042014144 has 56 divisors (see below), whose sum is σ = 2759527120. Its totient is φ = 347019264.

The previous prime is 1042014143. The next prime is 1042014151. The reversal of 1042014144 is 4414102401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042014144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042014143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307242 + ... + 310614.

It is an arithmetic number, because the mean of its divisors is an integer number (49277270).

Almost surely, 21042014144 is an apocalyptic number.

It is an amenable number.

1042014144 is an abundant number, since it is smaller than the sum of its proper divisors (1717512976).

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

1042014144 is a wasteful number, since it uses less digits than its factorization.

1042014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1042014144 is about 32280.2438652498. The cubic root of 1042014144 is about 1013.8130361890.

Adding to 1042014144 its reverse (4414102401), we get a palindrome (5456116545).

It can be divided in two parts, 104201 and 4144, that added together give a triangular number (108345 = T465).

The spelling of 1042014144 in words is "one billion, forty-two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1609 3218 3373 4827 6436 6746 9654 10119 12872 13492 19308 20238 25744 26984 38616 40476 51488 53968 77232 80952 102976 107936 154464 161904 215872 308928 323808 647616 5427157 10854314 16281471 21708628 32562942 43417256 65125884 86834512 130251768 173669024 260503536 347338048 521007072 1042014144