Search a number
-
+
114032407350 = 235219438771061
BaseRepresentation
bin110101000110011011…
…1000111001100110110
3101220100010002111100110
41222030313013030312
53332014244013400
6124215154123450
711144554320051
oct1521467071466
9356303074313
10114032407350
11443a7359474
121a125280586
13a9a3a57264
14573a971a98
152e7611ee50
hex1a8cdc7336

114032407350 has 192 divisors, whose sum is σ = 305242248960. Its totient is φ = 28079654400.

The previous prime is 114032407337. The next prime is 114032407451. The reversal of 114032407350 is 53704230411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107475820 + ... + 107476880.

It is an arithmetic number, because the mean of its divisors is an integer number (1589803380).

Almost surely, 2114032407350 is an apocalyptic number.

114032407350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114032407350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152621124480).

114032407350 is an abundant number, since it is smaller than the sum of its proper divisors (191209841610).

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

114032407350 is a wasteful number, since it uses less digits than its factorization.

114032407350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 114032407350 its reverse (53704230411), we get a palindrome (167736637761).

The spelling of 114032407350 in words is "one hundred fourteen billion, thirty-two million, four hundred seven thousand, three hundred fifty".