Search a number
-
+
42334411340 = 2251323151173271
BaseRepresentation
bin100111011011010100…
…111101101001001100
311001021100122220211202
4213123110331221030
51143200102130330
631240445205032
73026041362524
oct473324755114
9131240586752
1042334411340
1116a54742911
128255860778
133cb88b5550
142098636684
15117b904445
hex9db53da4c

42334411340 has 192 divisors, whose sum is σ = 101519695872. Its totient is φ = 14712192000.

The previous prime is 42334411337. The next prime is 42334411349. The reversal of 42334411340 is 4311443324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42334411349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156215405 + ... + 156215675.

It is an arithmetic number, because the mean of its divisors is an integer number (528748416).

Almost surely, 242334411340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50759847936).

42334411340 is an abundant number, since it is smaller than the sum of its proper divisors (59185284532).

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

42334411340 is a wasteful number, since it uses less digits than its factorization.

42334411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 42334411340 its reverse (4311443324), we get a palindrome (46645854664).

The spelling of 42334411340 in words is "forty-two billion, three hundred thirty-four million, four hundred eleven thousand, three hundred forty".