Search a number
-
+
2244639196944 = 2434416172
BaseRepresentation
bin100000101010011110111…
…011000000011100010000
321221120210202122200210000
4200222132323000130100
5243234010113300234
64435101212010000
7321112152240264
oct40523673003420
97846722580700
102244639196944
11795a45344391
12303039160900
1313388cac8241
147a8d93200a4
153d5c5370899
hex20a9eec0710

2244639196944 has 75 divisors (see below), whose sum is σ = 6496793167557. Its totient is φ = 748195087104.

The previous prime is 2244639196939. The next prime is 2244639196963. The reversal of 2244639196944 is 4496919364422.

It is a happy number.

The square root of 2244639196944 is 1498212.

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

2244639196944 is a `hidden beast` number, since 2 + 2 + 446 + 3 + 91 + 9 + 69 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2244423459600 + 215737344 = 1498140^2 + 14688^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 53914824 + ... + 53956440.

Almost surely, 22244639196944 is an apocalyptic number.

2244639196944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2244639196944 is the 1498212-nd square number.

It is an amenable number.

2244639196944 is an abundant number, since it is smaller than the sum of its proper divisors (4252153970613).

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

2244639196944 is an frugal number, since it uses more digits than its factorization.

2244639196944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83254 (or 41622 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 2244639196944 in words is "two trillion, two hundred forty-four billion, six hundred thirty-nine million, one hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 41617 83234 124851 166468 249702 332936 374553 499404 665872 749106 998808 1123659 1498212 1997616 2247318 2996424 3370977 4494636 5992848 6741954 8989272 13483908 17978544 26967816 53935632 1731974689 3463949378 5195924067 6927898756 10391848134 13855797512 15587772201 20783696268 27711595024 31175544402 41567392536 46763316603 62351088804 83134785072 93526633206 124702177608 140289949809 187053266412 249404355216 280579899618 374106532824 561159799236 748213065648 1122319598472 2244639196944