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244153125231 = 31779127673709
BaseRepresentation
bin1110001101100010101…
…0010000100101101111
3212100012110011211202220
43203120222100211233
513000011200001411
6304055024450423
723432225215431
oct3433052204557
9770173154686
10244153125231
11945aa08a744
123b39a479a13
131a03c947692
14bb620a2651
15653e87bb06
hex38d8a9096f

244153125231 has 64 divisors (see below), whose sum is σ = 352817971200. Its totient is φ = 149629648896.

The previous prime is 244153125199. The next prime is 244153125241. The reversal of 244153125231 is 132521351442.

244153125231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 244153125231 - 25 = 244153125199 is a prime.

It is a super-2 number, since 2×2441531252312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244153125192 and 244153125201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244153125241) 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, 344362305 + ... + 344363013.

It is an arithmetic number, because the mean of its divisors is an integer number (5512780800).

Almost surely, 2244153125231 is an apocalyptic number.

244153125231 is a deficient number, since it is larger than the sum of its proper divisors (108664845969).

244153125231 is a wasteful number, since it uses less digits than its factorization.

244153125231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608.

The product of its digits is 28800, while the sum is 33.

Adding to 244153125231 its reverse (132521351442), we get a palindrome (376674476673).

The spelling of 244153125231 in words is "two hundred forty-four billion, one hundred fifty-three million, one hundred twenty-five thousand, two hundred thirty-one".

Divisors: 1 3 17 51 79 127 237 381 673 709 1343 2019 2127 2159 4029 6477 10033 11441 12053 30099 34323 36159 53167 56011 85471 90043 159501 168033 170561 256413 270129 477157 511683 903839 952187 1431471 1453007 1530731 2711517 2856561 4359021 4592193 6752209 7113397 8111669 20256627 21340191 24335007 37695403 60598939 113086209 114787553 120927749 181796817 344362659 362783247 640821851 1030181963 1922465553 3090545889 4787316181 14361948543 81384375077 244153125231