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114232440340 = 22543228110993
BaseRepresentation
bin110101001100011001…
…0001011011000010100
3101220212001111020000201
41222120302023120110
53332422001042330
6124251101350244
711152533502444
oct1523062133024
9356761436021
10114232440340
114449a264197
121a180268384
13aa06323585
145759362124
152e88983eca
hex1a98c8b614

114232440340 has 72 divisors (see below), whose sum is σ = 246493087848. Its totient is φ = 44467476480.

The previous prime is 114232440331. The next prime is 114232440341. The reversal of 114232440340 is 43044232411.

It can be written as a sum of positive squares in 4 ways, for example, as 5911149456 + 108321290884 = 76884^2 + 329122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114232440299 and 114232440308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114232440341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10385884 + ... + 10396876.

It is an arithmetic number, because the mean of its divisors is an integer number (3423515109).

Almost surely, 2114232440340 is an apocalyptic number.

114232440340 is a gapful number since it is divisible by the number (10) 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 114232440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123246543924).

114232440340 is an abundant number, since it is smaller than the sum of its proper divisors (132260647508).

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

114232440340 is a wasteful number, since it uses less digits than its factorization.

114232440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 114232440340 its reverse (43044232411), we get a palindrome (157276672751).

The spelling of 114232440340 in words is "one hundred fourteen billion, two hundred thirty-two million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 281 430 562 860 1124 1405 1849 2810 3698 5620 7396 9245 10993 12083 18490 21986 24166 36980 43972 48332 54965 60415 109930 120830 219860 241660 472699 519569 945398 1039138 1890796 2078276 2363495 2597845 3089033 4726990 5195690 6178066 9453980 10391380 12356132 15445165 20326057 30890330 40652114 61780660 81304228 101630285 132828419 203260570 265656838 406521140 531313676 664142095 1328284190 2656568380 5711622017 11423244034 22846488068 28558110085 57116220170 114232440340