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1044086144 = 27172571867
BaseRepresentation
bin111110001110110…
…111110110000000
32200202122001221012
4332032313312000
54114241224034
6251334220052
734605404633
oct7616676600
92622561835
101044086144
114963a5412
122517b4628
1313840486a
149c945c1a
15619ddcce
hex3e3b7d80

1044086144 has 64 divisors (see below), whose sum is σ = 2212122960. Its totient is φ = 489160704.

The previous prime is 1044086123. The next prime is 1044086149. The reversal of 1044086144 is 4416804401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1044086144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044086149) 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 7 ways as a sum of consecutive naturals, for example, 558299 + ... + 560165.

Almost surely, 21044086144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106061480).

1044086144 is an abundant number, since it is smaller than the sum of its proper divisors (1168036816).

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

1044086144 is a wasteful number, since it uses less digits than its factorization.

1044086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 1044086144 is about 32312.3218602440. The cubic root of 1044086144 is about 1014.4845657224.

The spelling of 1044086144 in words is "one billion, forty-four million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 257 272 514 544 1028 1088 1867 2056 2176 3734 4112 4369 7468 8224 8738 14936 16448 17476 29872 31739 32896 34952 59744 63478 69904 119488 126956 139808 238976 253912 279616 479819 507824 559232 959638 1015648 1919276 2031296 3838552 4062592 7677104 8156923 15354208 16313846 30708416 32627692 61416832 65255384 130510768 261021536 522043072 1044086144