Search a number
-
+
42354645324 = 22310146774831
BaseRepresentation
bin100111011100100010…
…001001100101001100
311001022202201220122120
4213130202021211030
51143220242122244
631242451012540
73026405354655
oct473442114514
9131282656576
1042354645324
1116a65102a12
12826059a150
133cbcb4b314
14209b1c252c
15117d59e819
hex9dc88994c

42354645324 has 48 divisors (see below), whose sum is σ = 100021049856. Its totient is φ = 13948312000.

The previous prime is 42354645323. The next prime is 42354645331.

It is a happy number.

42354645324 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42354645323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528589 + ... + 603419.

It is an arithmetic number, because the mean of its divisors is an integer number (2083771872).

Almost surely, 242354645324 is an apocalyptic number.

It is an amenable number.

42354645324 is an abundant number, since it is smaller than the sum of its proper divisors (57666404532).

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

42354645324 is a wasteful number, since it uses less digits than its factorization.

42354645324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75406 (or 75404 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 42354645324 in words is "forty-two billion, three hundred fifty-four million, six hundred forty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 467 606 934 1212 1401 1868 2802 5604 47167 74831 94334 141501 149662 188668 224493 283002 299324 448986 566004 897972 7557931 15115862 22673793 30231724 34946077 45347586 69892154 90695172 104838231 139784308 209676462 419352924 3529553777 7059107554 10588661331 14118215108 21177322662 42354645324