Search a number
-
+
103044402144 = 2532357793063
BaseRepresentation
bin101111111110111101…
…1001100101111100000
3100211222100012222212200
41133331323030233200
53142013331332034
6115200555053200
710305351652335
oct1377573145740
9324870188780
10103044402144
113a778973532
1217b79441200
13994246c428
144db750498c
152a3164ea99
hex17fdeccbe0

103044402144 has 36 divisors (see below), whose sum is σ = 293032519416. Its totient is φ = 34348133952.

The previous prime is 103044402133. The next prime is 103044402151. The reversal of 103044402144 is 441204440301.

103044402144 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 440 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178896244 + ... + 178896819.

It is an arithmetic number, because the mean of its divisors is an integer number (8139792206).

Almost surely, 2103044402144 is an apocalyptic number.

It is an amenable number.

103044402144 is an abundant number, since it is smaller than the sum of its proper divisors (189988117272).

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

103044402144 is a wasteful number, since it uses less digits than its factorization.

103044402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357793079 (or 357793068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 103044402144 its reverse (441204440301), we get a palindrome (544248842445).

The spelling of 103044402144 in words is "one hundred three billion, forty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 357793063 715586126 1073379189 1431172252 2146758378 2862344504 3220137567 4293516756 5724689008 6440275134 8587033512 11449378016 12880550268 17174067024 25761100536 34348134048 51522201072 103044402144