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2144803968 = 2733620603
BaseRepresentation
bin111111111010111…
…0001110010000000
312112110211022221000
41333311301302000
513343032211333
6552454332000
7104102350536
oct17765616200
95473738830
102144803968
11a0075aa6a
124ba35a000
13282477198
14164bd0156
15c8467713
hex7fd71c80

2144803968 has 64 divisors (see below), whose sum is σ = 6330160800. Its totient is φ = 714933504.

The previous prime is 2144803939. The next prime is 2144803987. The reversal of 2144803968 is 8693084412.

It is a happy number.

2144803968 is a `hidden beast` number, since 214 + 48 + 0 + 396 + 8 = 666.

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

It is a super-2 number, since 2×21448039682 = 9200368122297090048, which contains 22 as substring.

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, 306846 + ... + 313757.

Almost surely, 22144803968 is an apocalyptic number.

It is an amenable number.

2144803968 is an abundant number, since it is smaller than the sum of its proper divisors (4185356832).

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

2144803968 is an equidigital number, since it uses as much as digits as its factorization.

2144803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620626 (or 620608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2144803968 is about 46312.0283295819. The cubic root of 2144803968 is about 1289.6223015393.

The spelling of 2144803968 in words is "two billion, one hundred forty-four million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 620603 1241206 1861809 2482412 3723618 4964824 5585427 7447236 9929648 11170854 14894472 16756281 19859296 22341708 29788944 33512562 39718592 44683416 59577888 67025124 79437184 89366832 119155776 134050248 178733664 238311552 268100496 357467328 536200992 714934656 1072401984 2144803968