Search a number
-
+
42142223442 = 23116114996983
BaseRepresentation
bin100111001111110111…
…110100110001010010
311000202222000202121110
4213033313310301102
51142301402122232
631205422034150
73021215663124
oct471767646122
9130688022543
1042142223442
1116966206240
128201418956
133c87b34cb7
14207acc9214
151169adeacc
hex9cfdf4c52

42142223442 has 64 divisors (see below), whose sum is σ = 93529728000. Its totient is φ = 12550843200.

The previous prime is 42142223419. The next prime is 42142223443. The reversal of 42142223442 is 24432224124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42142223443) 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, 6031483 + ... + 6038465.

It is an arithmetic number, because the mean of its divisors is an integer number (1461402000).

Almost surely, 242142223442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42142223442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46764864000).

42142223442 is an abundant number, since it is smaller than the sum of its proper divisors (51387504558).

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

42142223442 is a wasteful number, since it uses less digits than its factorization.

42142223442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559.

The product of its digits is 24576, while the sum is 30.

Adding to 42142223442 its reverse (24432224124), we get a palindrome (66574447566).

The spelling of 42142223442 in words is "forty-two billion, one hundred forty-two million, two hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 1499 2013 2998 4026 4497 6983 8994 13966 16489 20949 32978 41898 49467 76813 91439 98934 153626 182878 230439 274317 425963 460878 548634 851926 1005829 1277889 2011658 2555778 3017487 4685593 6034974 9371186 10467517 14056779 20935034 28113558 31402551 62805102 115142687 230285374 345428061 638518537 690856122 1277037074 1915555611 3831111222 7023703907 14047407814 21071111721 42142223442