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2142643302 = 232431092233
BaseRepresentation
bin111111110110110…
…0010010001100110
312112022202120001100
41333231202101212
513342004041202
6552340140530
7104045111322
oct17755422146
95468676040
102142643302
119aa514698
124b9697746
13281b9b897
141647ca982
15c818c41c
hex7fb62466

2142643302 has 72 divisors (see below), whose sum is σ = 4814914104. Its totient is φ = 688238208.

The previous prime is 2142643301. The next prime is 2142643387. The reversal of 2142643302 is 2033462412.

2142643302 is a `hidden beast` number, since 2 + 14 + 2 + 643 + 3 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142643301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9195778 + ... + 9196010.

It is an arithmetic number, because the mean of its divisors is an integer number (66873807).

Almost surely, 22142643302 is an apocalyptic number.

2142643302 is an abundant number, since it is smaller than the sum of its proper divisors (2672270802).

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

2142643302 is a wasteful number, since it uses less digits than its factorization.

2142643302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2142643302 is about 46288.6951857578. The cubic root of 2142643302 is about 1289.1891027779.

The spelling of 2142643302 in words is "two billion, one hundred forty-two million, six hundred forty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 43 86 109 129 218 233 258 327 387 466 654 699 774 981 1398 1962 2097 4194 4687 9374 10019 11881 14061 20038 23762 25397 28122 30057 35643 42183 50794 60114 71286 76191 84366 90171 106929 152382 180342 213858 228573 457146 510883 1021766 1092071 1532649 2184142 2768273 3065298 3276213 4597947 5536546 6552426 8304819 9195894 9828639 16609638 19657278 24914457 49828914 119035739 238071478 357107217 714214434 1071321651 2142643302