Search a number
-
+
244415302140 = 223538149106781
BaseRepresentation
bin1110001110100001001…
…0011000100111111100
3212100212201111210212210
43203220102120213330
513001030304132030
6304141032100420
723441560534542
oct3435022304774
9770781453783
10244415302140
1194724080079
123b452234710
131a082061749
14bb88c2bd92
1565578b8bb0
hex38e84989fc

244415302140 has 48 divisors (see below), whose sum is σ = 684387194400. Its totient is φ = 65175095040.

The previous prime is 244415302139. The next prime is 244415302163. The reversal of 244415302140 is 41203514442.

244415302140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 244415302098 and 244415302107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235550 + ... + 2342330.

It is an arithmetic number, because the mean of its divisors is an integer number (14258066550).

Almost surely, 2244415302140 is an apocalyptic number.

244415302140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244415302140 is an abundant number, since it is smaller than the sum of its proper divisors (439971892260).

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

244415302140 is a wasteful number, since it uses less digits than its factorization.

244415302140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144942 (or 144940 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 244415302140 its reverse (41203514442), we get a palindrome (285618816582).

The spelling of 244415302140 in words is "two hundred forty-four billion, four hundred fifteen million, three hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 38149 76298 106781 114447 152596 190745 213562 228894 320343 381490 427124 457788 533905 572235 640686 762980 1067810 1144470 1281372 1601715 2135620 2288940 3203430 6406860 4073588369 8147176738 12220765107 16294353476 20367941845 24441530214 40735883690 48883060428 61103825535 81471767380 122207651070 244415302140