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12440114310 = 23513173160527
BaseRepresentation
bin10111001010111110…
…10001010010000110
31012002222021021200110
423211133101102012
5200434132124220
65414230453450
7620164140561
oct134537212206
935088237613
1012440114310
115304136008
1224b2204286
1312333ac9b0
148602654d8
154cc209be0
hex2e57d1486

12440114310 has 128 divisors (see below), whose sum is σ = 35143041024. Its totient is φ = 2789038080.

The previous prime is 12440114303. The next prime is 12440114317. The reversal of 12440114310 is 1341104421.

12440114310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12440114303) and next prime (12440114317).

It is a super-2 number, since 2×124401143102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440114317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 175267 + ... + 235793.

It is an arithmetic number, because the mean of its divisors is an integer number (274555008).

Almost surely, 212440114310 is an apocalyptic number.

12440114310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440114310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571520512).

12440114310 is an abundant number, since it is smaller than the sum of its proper divisors (22702926714).

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

12440114310 is a wasteful number, since it uses less digits than its factorization.

12440114310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60598.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12440114310 its reverse (1341104421), we get a palindrome (13781218731).

The spelling of 12440114310 in words is "twelve billion, four hundred forty million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 31 34 39 51 62 65 78 85 93 102 130 155 170 186 195 221 255 310 390 403 442 465 510 527 663 806 930 1054 1105 1209 1326 1581 2015 2210 2418 2635 3162 3315 4030 5270 6045 6630 6851 7905 12090 13702 15810 20553 34255 41106 60527 68510 102765 121054 181581 205530 302635 363162 605270 786851 907905 1028959 1573702 1815810 1876337 2057918 2360553 3086877 3752674 3934255 4721106 5144795 5629011 6173754 7868510 9381685 10289590 11258022 11802765 13376467 15434385 18763370 23605530 24392381 26752934 28145055 30868770 31897729 40129401 48784762 56290110 63795458 66882335 73177143 80258802 95693187 121961905 133764670 146354286 159488645 191386374 200647005 243923810 318977290 365885715 401294010 414670477 478465935 731771430 829340954 956931870 1244011431 2073352385 2488022862 4146704770 6220057155 12440114310