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115303144412344 = 23747531825145289
BaseRepresentation
bin11010001101111000011010…
…111101101101010010111000
3120010020212120101100122002211
4122031320122331231102320
5110103111314432143334
61045121311105104504
733200243256335320
oct3215703275552270
9503225511318084
10115303144412344
113381487508a539
1210b22631928134
134c4506976c335
1420689b82a4280
15d4e4756b0a64
hex68de1af6d4b8

115303144412344 has 128 divisors (see below), whose sum is σ = 257115953203200. Its totient is φ = 47448056448000.

The previous prime is 115303144412341. The next prime is 115303144412359. The reversal of 115303144412344 is 443214441303511.

It is a super-2 number, since 2×1153031444123442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115303144412297 and 115303144412306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115303144412341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545918852 + ... + 2545964140.

It is an arithmetic number, because the mean of its divisors is an integer number (2008718384400).

Almost surely, 2115303144412344 is an apocalyptic number.

115303144412344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115303144412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128557976601600).

115303144412344 is an abundant number, since it is smaller than the sum of its proper divisors (141812808790856).

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

115303144412344 is a wasteful number, since it uses less digits than its factorization.

115303144412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63653 (or 63649 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 115303144412344 its reverse (443214441303511), we get a palindrome (558517585715855).

The spelling of 115303144412344 in words is "one hundred fifteen trillion, three hundred three billion, one hundred forty-four million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 53 56 94 106 188 212 329 371 376 424 658 742 1316 1484 2491 2632 2968 4982 9964 17437 18251 19928 34874 36502 45289 69748 73004 90578 127757 139496 146008 181156 255514 317023 362312 511028 634046 857797 967303 1022056 1268092 1715594 1934606 2128583 2400317 2536184 3431188 3869212 4257166 4800634 6004579 6771121 6862376 7738424 8514332 9601268 12009158 13542242 14900081 16802219 17028664 19202536 24018316 27084484 29800162 33604438 45463241 48036632 54168968 59600324 67208876 90926482 112814899 119200648 134417752 181852964 225629798 318242687 363705928 451259596 636485374 789704293 826569539 902519192 1272970748 1579408586 1653139078 2545941496 3158817172 3306278156 5785986773 6317634344 6612556312 11571973546 23143947092 38848768333 43808185567 46287894184 77697536666 87616371134 155395073332 175232742268 271941378331 306657298969 310790146664 350465484536 543882756662 613314597938 1087765513324 1226629195876 2058984721649 2175531026648 2453258391752 4117969443298 8235938886596 14412893051543 16471877773192 28825786103086 57651572206172 115303144412344