Search a number
-
+
244727116075220 = 225101121152037661
BaseRepresentation
bin110111101001001111111000…
…110100100001000011010100
31012002111200110111102111212012
4313221033320310201003110
5224034102113203401340
62224254030212443352
7102355644035141042
oct6751177064410324
91162450414374765
10244727116075220
1170a832070022a9
1223545908019558
13a67288b85120c
144460bd9b5d392
151d45da9681565
hexde93f8d210d4

244727116075220 has 24 divisors (see below), whose sum is σ = 519015329344008. Its totient is φ = 96921630128000.

The previous prime is 244727116075201. The next prime is 244727116075229. The reversal of 244727116075220 is 22570611727442.

244727116075220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14741944546576 + 229985171528644 = 3839524^2 + 15165262^2 .

It is a super-2 number, since 2×2447271160752202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244727116075229) 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, 60576016811 + ... + 60576020850.

It is an arithmetic number, because the mean of its divisors is an integer number (21625638722667).

Almost surely, 2244727116075220 is an apocalyptic number.

244727116075220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244727116075220 is an abundant number, since it is smaller than the sum of its proper divisors (274288213268788).

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

244727116075220 is a wasteful number, since it uses less digits than its factorization.

244727116075220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121152037771 (or 121152037769 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

The spelling of 244727116075220 in words is "two hundred forty-four trillion, seven hundred twenty-seven billion, one hundred sixteen million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 121152037661 242304075322 484608150644 605760188305 1211520376610 2423040753220 12236355803761 24472711607522 48945423215044 61181779018805 122363558037610 244727116075220