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42314120142 = 23723241181757
BaseRepresentation
bin100111011010000111…
…100011101111001110
311001012221111000112220
4213122013203233032
51143124403321032
631234442240210
73025404041520
oct473207435716
9131187430486
1042314120142
1116a44243828
12824aab6066
133cb462c718
142095a73a10
151179c4712c
hex9da1e3bce

42314120142 has 64 divisors (see below), whose sum is σ = 101342444544. Its totient is φ = 11516060160.

The previous prime is 42314120141. The next prime is 42314120159. The reversal of 42314120142 is 24102141324.

It is a super-2 number, since 2×423141201422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314120141) 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, 141928 + ... + 323684.

It is an arithmetic number, because the mean of its divisors is an integer number (1583475696).

Almost surely, 242314120142 is an apocalyptic number.

42314120142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42314120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50671222272).

42314120142 is an abundant number, since it is smaller than the sum of its proper divisors (59028324402).

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

42314120142 is a wasteful number, since it uses less digits than its factorization.

42314120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182033.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42314120142 its reverse (24102141324), we get a palindrome (66416261466).

The spelling of 42314120142 in words is "forty-two billion, three hundred fourteen million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 241 322 482 483 723 966 1446 1687 3374 5061 5543 10122 11086 16629 33258 38801 77602 116403 181757 232806 363514 545271 1090542 1272299 2544598 3816897 4180411 7633794 8360822 12541233 25082466 29262877 43803437 58525754 87606874 87788631 131410311 175577262 262820622 306624059 613248118 919872177 1007479051 1839744354 2014958102 3022437153 6044874306 7052353357 14104706714 21157060071 42314120142