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2140144512 = 27311506663
BaseRepresentation
bin111111110010000…
…0000001110000000
312112011001121100120
41333210000032000
513340334111022
6552210420240
7104014633242
oct17744001600
95464047316
102140144512
119a9068280
124b8891680
132815053cc
1416433a092
15c7d46d5c
hex7f900380

2140144512 has 64 divisors (see below), whose sum is σ = 6201567360. Its totient is φ = 648527360.

The previous prime is 2140144481. The next prime is 2140144537. The reversal of 2140144512 is 2154410412.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249108 + ... + 257555.

It is an arithmetic number, because the mean of its divisors is an integer number (96899490).

Almost surely, 22140144512 is an apocalyptic number.

2140144512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2140144512 is an abundant number, since it is smaller than the sum of its proper divisors (4061422848).

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

2140144512 is a wasteful number, since it uses less digits than its factorization.

2140144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506691 (or 506679 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2140144512 is about 46261.6959481600. The cubic root of 2140144512 is about 1288.6877491559.

Adding to 2140144512 its reverse (2154410412), we get a palindrome (4294554924).

The spelling of 2140144512 in words is "two billion, one hundred forty million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 506663 1013326 1519989 2026652 3039978 4053304 5573293 6079956 8106608 11146586 12159912 16213216 16719879 22293172 24319824 32426432 33439758 44586344 48639648 64852864 66879516 89172688 97279296 133759032 178345376 194558592 267518064 356690752 535036128 713381504 1070072256 2140144512