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2142115540 = 225208351419
BaseRepresentation
bin111111110101110…
…0001011011010100
312112021202202002121
41333223201123110
513341340144130
6552320545324
7104040452545
oct17753413324
95467682077
102142115540
119aa194124
124b9482244
13281a455b6
141646d04cc
15c80d5d7a
hex7fae16d4

2142115540 has 24 divisors (see below), whose sum is σ = 4500689760. Its totient is φ = 856418208.

The previous prime is 2142115483. The next prime is 2142115541. The reversal of 2142115540 is 455112412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142115541) 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, 15951 + ... + 67369.

It is an arithmetic number, because the mean of its divisors is an integer number (187528740).

Almost surely, 22142115540 is an apocalyptic number.

2142115540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142115540 is an abundant number, since it is smaller than the sum of its proper divisors (2358574220).

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

2142115540 is a wasteful number, since it uses less digits than its factorization.

2142115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53511 (or 53509 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2142115540 is about 46282.9940690963. The cubic root of 2142115540 is about 1289.0832458536.

Adding to 2142115540 its reverse (455112412), we get a palindrome (2597227952).

The spelling of 2142115540 in words is "two billion, one hundred forty-two million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2083 4166 8332 10415 20830 41660 51419 102838 205676 257095 514190 1028380 107105777 214211554 428423108 535528885 1071057770 2142115540