Search a number
-
+
423150051324 = 2237111343819239
BaseRepresentation
bin1100010100001011011…
…01010101111111111100
31111110020001110211022010
412022011231111333330
523413102403120244
6522220434051220
742400024043010
oct6120555257774
91443201424263
10423150051324
11153503199620
126a014119b10
1330b97816870
14166a2990540
15b018e97eb9
hex6285b55ffc

423150051324 has 192 divisors, whose sum is σ = 1356504145920. Its totient is φ = 99095028480.

The previous prime is 423150051323. The next prime is 423150051329.

423150051324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 423150051291 and 423150051300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423150051323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106897 + ... + 926135.

It is an arithmetic number, because the mean of its divisors is an integer number (7065125760).

Almost surely, 2423150051324 is an apocalyptic number.

423150051324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423150051324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678252072960).

423150051324 is an abundant number, since it is smaller than the sum of its proper divisors (933354094596).

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

423150051324 is a wasteful number, since it uses less digits than its factorization.

423150051324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819320 (or 819318 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 4231500 and 51324, that added together give a palindrome (4282824).

The spelling of 423150051324 in words is "four hundred twenty-three billion, one hundred fifty million, fifty-one thousand, three hundred twenty-four".