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4142323314 = 23510779657
BaseRepresentation
bin1111011011100110…
…1101011001110010
3101200200111211100000
43312321231121302
531440413321224
61523012210430
7204436111233
oct36671553162
911620454300
104142323314
1118362628a8
12977309a16
135102633ac
142b420108a
151939da0c9
hexf6e6d672

4142323314 has 48 divisors (see below), whose sum is σ = 9394545888. Its totient is φ = 1367852832.

The previous prime is 4142323267. The next prime is 4142323319. The reversal of 4142323314 is 4133232414.

4142323314 is a `hidden beast` number, since 4 + 1 + 423 + 233 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4142323319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12174 + ... + 91830.

It is an arithmetic number, because the mean of its divisors is an integer number (195719706).

Almost surely, 24142323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697272944).

4142323314 is an abundant number, since it is smaller than the sum of its proper divisors (5252222574).

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

4142323314 is a wasteful number, since it uses less digits than its factorization.

4142323314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79781 (or 79769 counting only the distinct ones).

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

The square root of 4142323314 is about 64360.8834153168. The cubic root of 4142323314 is about 1606.0090850679.

Adding to 4142323314 its reverse (4133232414), we get a palindrome (8275555728).

The spelling of 4142323314 in words is "four billion, one hundred forty-two million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 963 1926 2889 5778 8667 17334 26001 52002 79657 159314 238971 477942 716913 1433826 2150739 4301478 6452217 8523299 12904434 17046598 19356651 25569897 38713302 51139794 76709691 153419382 230129073 460258146 690387219 1380774438 2071161657 4142323314