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2140114040 = 235371446023
BaseRepresentation
bin111111110001111…
…1000110001111000
312112011000001112222
41333203320301320
513340332122130
6552210023212
7104014445351
oct17743706170
95464001488
102140114040
119a9047399
124b8877b08
132814c458c
1416432cd28
15c7d3cce5
hex7f8f8c78

2140114040 has 32 divisors (see below), whose sum is σ = 4945402080. Its totient is φ = 832908672.

The previous prime is 2140114033. The next prime is 2140114043. The reversal of 2140114040 is 404110412.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140114043) 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 7 ways as a sum of consecutive naturals, for example, 721532 + ... + 724491.

It is an arithmetic number, because the mean of its divisors is an integer number (154543815).

Almost surely, 22140114040 is an apocalyptic number.

2140114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140114040 is an abundant number, since it is smaller than the sum of its proper divisors (2805288040).

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

2140114040 is a wasteful number, since it uses less digits than its factorization.

2140114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446071 (or 1446067 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2140114040 is about 46261.3666032468. The cubic root of 2140114040 is about 1288.6816328899.

Adding to 2140114040 its reverse (404110412), we get a palindrome (2544224452).

The spelling of 2140114040 in words is "two billion, one hundred forty million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1446023 2892046 5784092 7230115 11568184 14460230 28920460 53502851 57840920 107005702 214011404 267514255 428022808 535028510 1070057020 2140114040