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11231404434040 = 2357192313584323
BaseRepresentation
bin1010001101110000001111…
…0111110010001001111000
31110202201012212220220111111
42203130003313302021320
52433003404013342130
635515345211410104
72236304446340140
oct243340367621170
943681185826444
1011231404434040
11364023700122a
12131487a753934
13636169a7a07b
142ab862409920
1514724bbc602a
hexa3703df2278

11231404434040 has 192 divisors, whose sum is σ = 31464056309760. Its totient is φ = 3530413797120.

The previous prime is 11231404434023. The next prime is 11231404434043. The reversal of 11231404434040 is 4043440413211.

11231404434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112314044340402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 11231404433993 and 11231404434011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231404434043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341319 + ... + 4925641.

It is an arithmetic number, because the mean of its divisors is an integer number (163875293280).

Almost surely, 211231404434040 is an apocalyptic number.

11231404434040 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 11231404434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732028154880).

11231404434040 is an abundant number, since it is smaller than the sum of its proper divisors (20232651875720).

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

11231404434040 is a wasteful number, since it uses less digits than its factorization.

11231404434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584410 (or 3584387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 11231404434040 its reverse (4043440413211), we get a palindrome (15274844847251).

The spelling of 11231404434040 in words is "eleven trillion, two hundred thirty-one billion, four hundred four million, four hundred thirty-four thousand, forty".