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2138140973 = 23199569821
BaseRepresentation
bin111111101110001…
…0111000100101101
312112000021211000102
41333130113010231
513334331002343
6552055440445
7103661620103
oct17734270455
95460254012
102138140973
119a7a19a61
124b8086125
13280c83497
14163d77c73
15c7a9d3b8
hex7f71712d

2138140973 has 16 divisors (see below), whose sum is σ = 2248992000. Its totient is φ = 2028850560.

The previous prime is 2138140937. The next prime is 2138141023. The reversal of 2138140973 is 3790418312.

It is a cyclic number.

It is not a de Polignac number, because 2138140973 - 212 = 2138136877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138140903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2603903 + ... + 2604723.

It is an arithmetic number, because the mean of its divisors is an integer number (140562000).

Almost surely, 22138140973 is an apocalyptic number.

2138140973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2138140973 is a deficient number, since it is larger than the sum of its proper divisors (110851027).

2138140973 is a wasteful number, since it uses less digits than its factorization.

2138140973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2138140973 is about 46240.0364727365. The cubic root of 2138140973 is about 1288.2854800132.

The spelling of 2138140973 in words is "two billion, one hundred thirty-eight million, one hundred forty thousand, nine hundred seventy-three".

Divisors: 1 23 199 569 821 4577 13087 18883 113231 163379 467149 2604313 3757717 10744427 92962651 2138140973