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244144031131 = 711131934613709
BaseRepresentation
bin1110001101100000011…
…1100100010110011011
3212100011211001211000101
43203120013210112123
513000001332444011
6304054101520231
723432055011140
oct3433007442633
9770154054011
10244144031131
11945a4a39160
123b397413077
131a03aab2260
14bb60bb63c7
15653db822c1
hex38d81e459b

244144031131 has 64 divisors (see below), whose sum is σ = 345247257600. Its totient is φ = 166272652800.

The previous prime is 244144031113. The next prime is 244144031141. The reversal of 244144031131 is 131130441442.

244144031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 244144031131 - 213 = 244144022939 is a prime.

It is a super-2 number, since 2×2441440311312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244144031131.

It is not an unprimeable number, because it can be changed into a prime (244144031141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65822905 + ... + 65826613.

It is an arithmetic number, because the mean of its divisors is an integer number (5394488400).

Almost surely, 2244144031131 is an apocalyptic number.

244144031131 is a deficient number, since it is larger than the sum of its proper divisors (101103226469).

244144031131 is a wasteful number, since it uses less digits than its factorization.

244144031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 244144031131 its reverse (131130441442), we get a palindrome (375274472573).

The spelling of 244144031131 in words is "two hundred forty-four billion, one hundred forty-four million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 3461 3709 19019 24227 25963 38071 40799 44993 48217 65759 70471 266497 285593 314951 337519 460313 493297 494923 530387 723349 775181 854867 916123 3464461 3712709 5063443 5426267 5984069 6412861 9403537 10077353 12836849 65824759 70541471 89857943 141205339 166879037 243900131 988437373 1168153259 1707300917 1835669407 2682901441 3170701703 12849685849 18780310087 22194911921 34877718733 244144031131