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2144590506 = 23440133013
BaseRepresentation
bin111111111010011…
…1101101010101010
312112110102111010000
41333310331222222
513343003344011
6552450003430
7104100501312
oct17764755252
95473374100
102144590506
11a00624653
124ba276576
13282400c86
14164b76442
15c8424356
hex7fd3daaa

2144590506 has 40 divisors (see below), whose sum is σ = 4817600964. Its totient is φ = 713059200.

The previous prime is 2144590433. The next prime is 2144590519. The reversal of 2144590506 is 6050954412.

2144590506 is a `hidden beast` number, since 2 + 14 + 4 + 590 + 50 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2086205625 + 58384881 = 45675^2 + 7641^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48456 + ... + 81468.

Almost surely, 22144590506 is an apocalyptic number.

2144590506 is an abundant number, since it is smaller than the sum of its proper divisors (2673010458).

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

2144590506 is a wasteful number, since it uses less digits than its factorization.

2144590506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33428 (or 33419 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2144590506 is about 46309.7236657702. The cubic root of 2144590506 is about 1289.5795168229.

The spelling of 2144590506 in words is "two billion, one hundred forty-four million, five hundred ninety thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 401 802 1203 2406 3609 7218 10827 21654 32481 33013 64962 66026 99039 198078 297117 594234 891351 1782702 2674053 5348106 13238213 26476426 39714639 79429278 119143917 238287834 357431751 714863502 1072295253 2144590506