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1124434113432 = 233727938331601
BaseRepresentation
bin10000010111001101011…
…111101111001110011000
310222111100202011100002220
4100113031133233032120
5121410320113112212
62220320301224040
7144144345156600
oct20271537571630
93874322140086
101124434113432
113a396281a073
12161b0a862020
1382058ccb266
143c5cc627c00
151e3b0b4338c
hex105cd7ef398

1124434113432 has 192 divisors, whose sum is σ = 3320181964800. Its totient is φ = 316362009600.

The previous prime is 1124434113331. The next prime is 1124434113449. The reversal of 1124434113432 is 2343114344211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1124434113393 and 1124434113402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35566432 + ... + 35598032.

It is an arithmetic number, because the mean of its divisors is an integer number (17292614400).

Almost surely, 21124434113432 is an apocalyptic number.

1124434113432 is a gapful number since it is divisible by the number (12) 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 1124434113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660090982400).

1124434113432 is an abundant number, since it is smaller than the sum of its proper divisors (2195747851368).

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

1124434113432 is a wasteful number, since it uses less digits than its factorization.

1124434113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086 (or 32075 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1124434113432 its reverse (2343114344211), we get a palindrome (3467548457643).

The spelling of 1124434113432 in words is "one trillion, one hundred twenty-four billion, four hundred thirty-four million, one hundred thirteen thousand, four hundred thirty-two".