Search a number
-
+
42112104342 = 23711103188411
BaseRepresentation
bin100111001110000100…
…111011011110010110
311000200212100112222020
4213032010323132112
51142221144314332
631202424314010
73020401660260
oct471604733626
9130625315866
1042112104342
1116950204320
1281b3312906
133c8181aa49
142076cc8b30
15116714082c
hex9ce13b796

42112104342 has 64 divisors (see below), whose sum is σ = 105109843968. Its totient is φ = 10927476000.

The previous prime is 42112104313. The next prime is 42112104361. The reversal of 42112104342 is 24340121124.

It is a super-2 number, since 2×421121043422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432117 + ... + 520527.

It is an arithmetic number, because the mean of its divisors is an integer number (1642341312).

Almost surely, 242112104342 is an apocalyptic number.

42112104342 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 42112104342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52554921984).

42112104342 is an abundant number, since it is smaller than the sum of its proper divisors (62997739626).

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

42112104342 is a wasteful number, since it uses less digits than its factorization.

42112104342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89465.

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

Adding to 42112104342 its reverse (24340121124), we get a palindrome (66452225466).

The spelling of 42112104342 in words is "forty-two billion, one hundred twelve million, one hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1031 2062 3093 6186 7217 11341 14434 21651 22682 34023 43302 68046 79387 88411 158774 176822 238161 265233 476322 530466 618877 972521 1237754 1856631 1945042 2917563 3713262 5835126 6807647 13615294 20422941 40845882 91151741 182303482 273455223 546910446 638062187 1002669151 1276124374 1914186561 2005338302 3008007453 3828373122 6016014906 7018684057 14037368114 21056052171 42112104342