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2140938369 = 322941593391
BaseRepresentation
bin111111110011100…
…0010000010000001
312112012112221022200
41333213002002001
513341040011434
6552235423413
7104024450553
oct17747020201
95465487280
102140938369
119a955a759
124b8bb4b69
1328172284b
141644a54d3
15c7e52199
hex7f9c2081

2140938369 has 48 divisors (see below), whose sum is σ = 3333657600. Its totient is φ = 1321286400.

The previous prime is 2140938353. The next prime is 2140938389. The reversal of 2140938369 is 9638390412.

It is a happy number.

It is not a de Polignac number, because 2140938369 - 24 = 2140938353 is a prime.

It is a super-2 number, since 2×21409383692 = 9167234199712760322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140938389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629664 + ... + 633054.

It is an arithmetic number, because the mean of its divisors is an integer number (69451200).

Almost surely, 22140938369 is an apocalyptic number.

2140938369 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2140938369 is a deficient number, since it is larger than the sum of its proper divisors (1192719231).

2140938369 is a wasteful number, since it uses less digits than its factorization.

2140938369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2140938369 is about 46270.2752207073. The cubic root of 2140938369 is about 1288.8470697559.

The spelling of 2140938369 in words is "two billion, one hundred forty million, nine hundred thirty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 29 41 59 87 123 177 261 369 531 1189 1711 2419 3391 3567 5133 7257 10173 10701 15399 21771 30519 70151 98339 139031 200069 210453 295017 417093 600207 631359 885051 1251279 1800621 4031899 5802001 8202829 12095697 17406003 24608487 36287091 52218009 73825461 237882041 713646123 2140938369