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2131414140 = 2235231544503
BaseRepresentation
bin111111100001010…
…1100110001111100
312111112122001112110
41333002230301330
513331120223030
6551255334020
7103550502252
oct17702546174
95445561473
102131414140
119a4144a99
124b5981310
1327c7696cb
141631065d2
15c71c01b0
hex7f0acc7c

2131414140 has 48 divisors (see below), whose sum is σ = 6227440128. Its totient is φ = 543664704.

The previous prime is 2131414111. The next prime is 2131414141. The reversal of 2131414140 is 414141312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131414141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770872 + ... + 773631.

It is an arithmetic number, because the mean of its divisors is an integer number (129738336).

Almost surely, 22131414140 is an apocalyptic number.

2131414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131414140 is an abundant number, since it is smaller than the sum of its proper divisors (4096025988).

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

2131414140 is a wasteful number, since it uses less digits than its factorization.

2131414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544538 (or 1544536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2131414140 is about 46167.2409831907. The cubic root of 2131414140 is about 1286.9330301569.

Adding to 2131414140 its reverse (414141312), we get a palindrome (2545555452).

The spelling of 2131414140 in words is "two billion, one hundred thirty-one million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1544503 3089006 4633509 6178012 7722515 9267018 15445030 18534036 23167545 30890060 35523569 46335090 71047138 92670180 106570707 142094276 177617845 213141414 355235690 426282828 532853535 710471380 1065707070 2131414140