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2140119864 = 233229723887
BaseRepresentation
bin111111110001111…
…1010001100111000
312112011000100112200
41333203322030320
513340332313424
6552210110200
7104014501341
oct17743721470
95464010480
102140119864
119a9050803
124b887b360
132814c711c
141643310c8
15c7d3e8c9
hex7f8fa338

2140119864 has 24 divisors (see below), whose sum is σ = 5796158160. Its totient is φ = 713373264.

The previous prime is 2140119859. The next prime is 2140119911. The reversal of 2140119864 is 4689110412.

2140119864 is a `hidden beast` number, since 2 + 1 + 401 + 198 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21401198642 = 9160226064574756992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14861872 + ... + 14862015.

It is an arithmetic number, because the mean of its divisors is an integer number (241506590).

Almost surely, 22140119864 is an apocalyptic number.

2140119864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140119864 is an abundant number, since it is smaller than the sum of its proper divisors (3656038296).

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

2140119864 is a wasteful number, since it uses less digits than its factorization.

2140119864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29723899 (or 29723892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2140119864 is about 46261.4295498961. The cubic root of 2140119864 is about 1288.6828018735.

The spelling of 2140119864 in words is "two billion, one hundred forty million, one hundred nineteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29723887 59447774 89171661 118895548 178343322 237791096 267514983 356686644 535029966 713373288 1070059932 2140119864