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2142431400 = 233523570719
BaseRepresentation
bin111111110110010…
…1110100010101000
312112022100210101010
41333230232202220
513341430301100
6552331423520
7104043236454
oct17754564250
95468323333
102142431400
119aa38a46a
124b95b4ba0
13281b262b5
14164773664
15c8149750
hex7fb2e8a8

2142431400 has 48 divisors (see below), whose sum is σ = 6641539200. Its totient is φ = 571314880.

The previous prime is 2142431383. The next prime is 2142431411. The reversal of 2142431400 is 41342412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1784760 + ... + 1785959.

It is an arithmetic number, because the mean of its divisors is an integer number (138365400).

Almost surely, 22142431400 is an apocalyptic number.

2142431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142431400 is an abundant number, since it is smaller than the sum of its proper divisors (4499107800).

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

2142431400 is a wasteful number, since it uses less digits than its factorization.

2142431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570738 (or 3570729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2142431400 is about 46286.4062117594. The cubic root of 2142431400 is about 1289.1466021969.

Adding to 2142431400 its reverse (41342412), we get a palindrome (2183773812).

The spelling of 2142431400 in words is "two billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3570719 7141438 10712157 14282876 17853595 21424314 28565752 35707190 42848628 53560785 71414380 85697256 89267975 107121570 142828760 178535950 214243140 267803925 357071900 428486280 535607850 714143800 1071215700 2142431400