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2140508097 = 3271317153739
BaseRepresentation
bin111111110010101…
…1000111111000001
312112011202002002200
41333211120333001
513340432224342
6552222303413
7104021006250
oct17745307701
95464662080
102140508097
119a9296462
124b8a27b69
13281601a50
141643d2797
15c7db994c
hex7f958fc1

2140508097 has 48 divisors (see below), whose sum is σ = 4029217920. Its totient is φ = 1062637056.

The previous prime is 2140507997. The next prime is 2140508107. The reversal of 2140508097 is 7908050412.

2140508097 is a `hidden beast` number, since 2 + 140 + 508 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 2140508097 - 27 = 2140507969 is a prime.

It is a super-2 number, since 2×21405080972 = 9163549826645122818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140508597) 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 47 ways as a sum of consecutive naturals, for example, 62947 + ... + 90792.

It is an arithmetic number, because the mean of its divisors is an integer number (83942040).

Almost surely, 22140508097 is an apocalyptic number.

It is an amenable number.

2140508097 is a deficient number, since it is larger than the sum of its proper divisors (1888709823).

2140508097 is a wasteful number, since it uses less digits than its factorization.

2140508097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153782 (or 153779 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2140508097 is about 46265.6254361702. The cubic root of 2140508097 is about 1288.7607225776.

The spelling of 2140508097 in words is "two billion, one hundred forty million, five hundred eight thousand, ninety-seven".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 153739 461217 1076173 1383651 1998607 2613563 3228519 5995821 7840689 9685557 13990249 17987463 18294941 23522067 33976319 41970747 54884823 101928957 125912241 164654469 237834233 305786871 713502699 2140508097