Search a number
-
+
42351224544 = 25342112367
BaseRepresentation
bin100111011100010101…
…000110011011100000
311001022112022010020000
4213130111012123200
51143213403141134
631242245420000
73026334316566
oct473425063340
9131275263200
1042351224544
1116a63186922
12825b40a600
133cbc2212a5
14209a971a36
15117d125e99
hex9dc5466e0

42351224544 has 180 divisors, whose sum is σ = 125487874512. Its totient is φ = 14011885440.

The previous prime is 42351224519. The next prime is 42351224563. The reversal of 42351224544 is 44542215324.

42351224544 is a `hidden beast` number, since 42 + 3 + 51 + 2 + 24 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42351224499 and 42351224508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 115398249 + ... + 115398615.

Almost surely, 242351224544 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 42351224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62743937256).

42351224544 is an abundant number, since it is smaller than the sum of its proper divisors (83136649968).

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

42351224544 is an equidigital number, since it uses as much as digits as its factorization.

42351224544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 583 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 42351224544 its reverse (44542215324), we get a palindrome (86893439868).

The spelling of 42351224544 in words is "forty-two billion, three hundred fifty-one million, two hundred twenty-four thousand, five hundred forty-four".