Search a number
-
+
2444758388340 = 223540745973139
BaseRepresentation
bin100011100100110110111…
…101001000111001110100
322122201100102012221010120
4203210312331020321310
5310023331121411330
65111035000451540
7341425251300132
oct43446675107164
98581312187116
102444758388340
118628a8414874
12335988779bb0
13149702a1a268
148648118a752
15438d8edac10
hex23936f48e74

2444758388340 has 24 divisors (see below), whose sum is σ = 6845323487520. Its totient is φ = 651935570208.

The previous prime is 2444758388329. The next prime is 2444758388341. The reversal of 2444758388340 is 438838574442.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 40745973139 = 2444758388340 / (2 + 4 + 4 + 4 + 7 + 5 + 8 + 3 + 8 + 8 + 3 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444758388341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20372986510 + ... + 20372986629.

It is an arithmetic number, because the mean of its divisors is an integer number (285221811980).

Almost surely, 22444758388340 is an apocalyptic number.

2444758388340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444758388340 is an abundant number, since it is smaller than the sum of its proper divisors (4400565099180).

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

2444758388340 is a wasteful number, since it uses less digits than its factorization.

2444758388340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745973151 (or 40745973149 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 60.

The spelling of 2444758388340 in words is "two trillion, four hundred forty-four billion, seven hundred fifty-eight million, three hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40745973139 81491946278 122237919417 162983892556 203729865695 244475838834 407459731390 488951677668 611189597085 814919462780 1222379194170 2444758388340