Search a number
-
+
110951425440 = 253253113271873
BaseRepresentation
bin110011101010100111…
…0000110010110100000
3101121101101200101201100
41213111032012112200
53304212031103230
6122545334034400
711005323361362
oct1472516062640
9347341611640
10110951425440
1143066207129
12196054a8a00
13a60265a73b
1455276c8d32
152d458d1660
hex19d53865a0

110951425440 has 288 divisors, whose sum is σ = 391338694656. Its totient is φ = 28595773440.

The previous prime is 110951425427. The next prime is 110951425441. The reversal of 110951425440 is 44524159011.

110951425440 is a `hidden beast` number, since 1 + 10 + 95 + 14 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 110951425395 and 110951425404.

It is not an unprimeable number, because it can be changed into a prime (110951425441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 59236344 + ... + 59238216.

It is an arithmetic number, because the mean of its divisors is an integer number (1358814912).

Almost surely, 2110951425440 is an apocalyptic number.

110951425440 is a gapful number since it is divisible by the number (10) 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 110951425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195669347328).

110951425440 is an abundant number, since it is smaller than the sum of its proper divisors (280387269216).

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

110951425440 is a wasteful number, since it uses less digits than its factorization.

110951425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 110951425440 in words is "one hundred ten billion, nine hundred fifty-one million, four hundred twenty-five thousand, four hundred forty".