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2142351414 = 232720878147
BaseRepresentation
bin111111110110001…
…1011000000110110
312112022012201122200
41333230123000312
513341420221124
6552330005330
7104042454330
oct17754330066
95468181580
102142351414
119aa335365
124b9576846
13281ac8a78
14164752450
15c8130bc9
hex7fb1b036

2142351414 has 48 divisors (see below), whose sum is σ = 5308063488. Its totient is φ = 611732016.

The previous prime is 2142351391. The next prime is 2142351427. The reversal of 2142351414 is 4141532412.

2142351414 is a `hidden beast` number, since 2 + 14 + 235 + 1 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258889 + ... + 267035.

It is an arithmetic number, because the mean of its divisors is an integer number (110584656).

Almost surely, 22142351414 is an apocalyptic number.

2142351414 is an abundant number, since it is smaller than the sum of its proper divisors (3165712074).

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

2142351414 is a wasteful number, since it uses less digits than its factorization.

2142351414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10246 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2142351414 is about 46285.5421703149. The cubic root of 2142351414 is about 1289.1305589040.

Adding to 2142351414 its reverse (4141532412), we get a palindrome (6283883826).

The spelling of 2142351414 in words is "two billion, one hundred forty-two million, three hundred fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2087 4174 6261 8147 12522 14609 16294 18783 24441 29218 37566 43827 48882 57029 73323 87654 114058 131481 146646 171087 262962 342174 513261 1026522 17002789 34005578 51008367 102016734 119019523 153025101 238039046 306050202 357058569 714117138 1071175707 2142351414