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4142144412414 = 232599384172177
BaseRepresentation
bin111100010001101011000…
…010111101101011111110
3112122222121011111000111100
4330101223002331223332
51020331102432144124
612450512550033530
7605155125402501
oct74215302755376
915588534430440
104142144412414
111357745598578
1256a9379488a6
132407aaa285c8
141046a3699138
1572b300b81c9
hex3c46b0bdafe

4142144412414 has 24 divisors (see below), whose sum is σ = 8989628965200. Its totient is φ = 1378409767488.

The previous prime is 4142144412401. The next prime is 4142144412443.

4142144412414 is a `hidden beast` number, since 4 + 14 + 214 + 4 + 4 + 12 + 414 = 666.

4142144412414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

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, 192075307 + ... + 192096870.

It is an arithmetic number, because the mean of its divisors is an integer number (374567873550).

Almost surely, 24142144412414 is an apocalyptic number.

4142144412414 is an abundant number, since it is smaller than the sum of its proper divisors (4847484552786).

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

4142144412414 is a wasteful number, since it uses less digits than its factorization.

4142144412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384172784 (or 384172781 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 4142144412414 in words is "four trillion, one hundred forty-two billion, one hundred forty-four million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 599 1198 1797 3594 5391 10782 384172177 768344354 1152516531 2305033062 3457549593 6915099186 230119134023 460238268046 690357402069 1380714804138 2071072206207 4142144412414