Search a number
-
+
114353818944 = 26317297691571
BaseRepresentation
bin110101010000000000…
…1001100110101000000
3101221011111212220011120
41222200001030311000
53333144034201234
6124311115112240
711155536265101
oct1524001146500
9357144786146
10114353818944
1144551827792
121a1b4a42680
13aa25510b31
14576b51a3a8
152e9445d049
hex1aa004cd40

114353818944 has 224 divisors, whose sum is σ = 332047900800. Its totient is φ = 34571550720.

The previous prime is 114353818921. The next prime is 114353818949. The reversal of 114353818944 is 449818353411.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114353818949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72789679 + ... + 72791249.

It is an arithmetic number, because the mean of its divisors is an integer number (1482356700).

Almost surely, 2114353818944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114353818944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166023950400).

114353818944 is an abundant number, since it is smaller than the sum of its proper divisors (217694081856).

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

114353818944 is a wasteful number, since it uses less digits than its factorization.

114353818944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2391 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 114353818944 in words is "one hundred fourteen billion, three hundred fifty-three million, eight hundred eighteen thousand, nine hundred forty-four".