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10114334142 = 2311972296899
BaseRepresentation
bin10010110101101110…
…00111110110111110
3222002212220102002020
421122313013312332
5131203232143032
64351345141010
7505433264433
oct113267076676
928085812066
1010114334142
114320306a40
121b6332a766
13c525ac503
146bd405b8a
153e2e44b2c
hex25adc7dbe

10114334142 has 64 divisors (see below), whose sum is σ = 22395744000. Its totient is φ = 3019668480.

The previous prime is 10114334123. The next prime is 10114334143. The reversal of 10114334142 is 24143341101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114334143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462609 + ... + 1469507.

It is an arithmetic number, because the mean of its divisors is an integer number (349933500).

Almost surely, 210114334142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114334142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197872000).

10114334142 is an abundant number, since it is smaller than the sum of its proper divisors (12281409858).

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

10114334142 is a wasteful number, since it uses less digits than its factorization.

10114334142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10114334142 its reverse (24143341101), we get a palindrome (34257675243).

The spelling of 10114334142 in words is "ten billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 97 194 229 291 458 582 687 1067 1374 2134 2519 3201 5038 6402 6899 7557 13798 15114 20697 22213 41394 44426 66639 75889 133278 151778 227667 244343 455334 488686 669203 733029 1338406 1466058 1579871 2007609 3159742 4015218 4739613 7361233 9479226 14722466 17378581 22083699 34757162 44167398 52135743 104271486 153247487 306494974 459742461 919484922 1685722357 3371444714 5057167071 10114334142