Search a number
-
+
244885723880625 = 3254137215232
BaseRepresentation
bin110111101011100011100110…
…100101010001110010110001
31012010001211212010222211220100
4313223203212211101302301
5224044201430303140000
62224454540512303013
7102403260345220632
oct6753434645216261
91163054763884810
10244885723880625
11710344a7a78013
12235705b1541a69
13a684817543049
1444687647d3889
151d4a08dcbba00
hexdeb8e6951cb1

244885723880625 has 135 divisors (see below), whose sum is σ = 445555765517863. Its totient is φ = 129567263376000.

The previous prime is 244885723880591. The next prime is 244885723880627. The reversal of 244885723880625 is 526088327588442.

The square root of 244885723880625 is 15648825.

It is a perfect power (a square), and thus also a powerful number.

244885723880625 is a `hidden beast` number, since 2 + 4 + 48 + 8 + 572 + 3 + 8 + 8 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 169206581091249 + 75679142789376 = 13007943^2 + 8699376^2 .

It is not a de Polignac number, because 244885723880625 - 215 = 244885723847857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (244885723880627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 160791676114 + ... + 160791677636.

Almost surely, 2244885723880625 is an apocalyptic number.

244885723880625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

244885723880625 is the 15648825-th square number.

244885723880625 is the 7824413-rd centered octagonal number.

It is an amenable number.

244885723880625 is a deficient number, since it is larger than the sum of its proper divisors (200670041637238).

244885723880625 is an frugal number, since it uses more digits than its factorization.

244885723880625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1651507200, while the sum is 72.

The spelling of 244885723880625 in words is "two hundred forty-four trillion, eight hundred eighty-five billion, seven hundred twenty-three million, eight hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 137 225 375 411 625 685 1125 1233 1523 1875 2055 3425 4569 5625 6165 7615 10275 13707 17125 18769 22845 30825 38075 51375 56307 68535 85625 93845 114225 154125 168921 190375 208651 256875 281535 342675 469225 571125 625953 770625 844605 951875 1043255 1407675 1713375 1877859 2319529 2346125 2855625 3129765 4223025 5216275 6958587 7038375 8566875 9389295 11597645 11730625 15648825 20875761 21115125 26081375 28585187 34792935 35191875 46946475 57988225 78244125 85755561 104378805 105575625 130406875 142925935 173964675 234732375 257266683 289941125 317775473 391220625 428777805 521894025 714629675 869823375 953326419 1173661875 1286333415 1449705625 1588877365 2143889025 2609470125 2859979257 3573148375 4349116875 4766632095 6431667075 7944386825 10719445125 13047350625 14299896285 17865741875 23833160475 32158335375 39721934125 43535239801 53597225625 71499481425 119165802375 130605719403 160791676875 198609670625 217676199005 357497407125 391817158209 595829011875 653028597015 1088380995025 1787487035625 1959085791045 3265142985075 5441904975125 9795428955225 16325714925375 27209524875625 48977144776125 81628574626875 244885723880625