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114422053032 = 23337734632239
BaseRepresentation
bin110101010010000010…
…1011111100010101000
3101221100021021112202000
41222210011133202220
53333314021144112
6124321553411000
711160325255230
oct1524405374250
9357307245660
10114422053032
11445872a1aa1
121a213869a60
13aa366b1931
1457765dccc0
152e9a43a7dc
hex1aa415f8a8

114422053032 has 256 divisors, whose sum is σ = 369180672000. Its totient is φ = 32160167424.

The previous prime is 114422053019. The next prime is 114422053069. The reversal of 114422053032 is 230350224411.

114422053032 is a `hidden beast` number, since 11 + 442 + 205 + 3 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114422052987 and 114422053005.

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 63 ways as a sum of consecutive naturals, for example, 51102969 + ... + 51105207.

It is an arithmetic number, because the mean of its divisors is an integer number (1442112000).

Almost surely, 2114422053032 is an apocalyptic number.

114422053032 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 114422053032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184590336000).

114422053032 is an abundant number, since it is smaller than the sum of its proper divisors (254758618968).

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

114422053032 is a wasteful number, since it uses less digits than its factorization.

114422053032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114422053032 its reverse (230350224411), we get a palindrome (344772277443).

The spelling of 114422053032 in words is "one hundred fourteen billion, four hundred twenty-two million, fifty-three thousand, thirty-two".