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13243214440 = 2354713153773
BaseRepresentation
bin11000101010101101…
…10110101001101000
31021011221102222221201
430111112312221220
5204110230330230
610030040013544
7646115315431
oct142526665150
937157388851
1013243214440
1156864a4025
1226971612b4
1313308a9981
148d8b9a488
155279955ca
hex3155b6a68

13243214440 has 64 divisors (see below), whose sum is σ = 30664085760. Its totient is φ = 5144904960.

The previous prime is 13243214431. The next prime is 13243214441. The reversal of 13243214440 is 4441234231.

13243214440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13243214399 and 13243214408.

It is not an unprimeable number, because it can be changed into a prime (13243214441) 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 15 ways as a sum of consecutive naturals, for example, 219394 + ... + 273166.

It is an arithmetic number, because the mean of its divisors is an integer number (479126340).

Almost surely, 213243214440 is an apocalyptic number.

13243214440 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 13243214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332042880).

13243214440 is an abundant number, since it is smaller than the sum of its proper divisors (17420871320).

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

13243214440 is a wasteful number, since it uses less digits than its factorization.

13243214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53962 (or 53958 counting only the distinct ones).

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

Adding to 13243214440 its reverse (4441234231), we get a palindrome (17684448671).

The spelling of 13243214440 in words is "thirteen billion, two hundred forty-three million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 131 188 235 262 376 470 524 655 940 1048 1310 1880 2620 5240 6157 12314 24628 30785 49256 53773 61570 107546 123140 215092 246280 268865 430184 537730 1075460 2150920 2527331 5054662 7044263 10109324 12636655 14088526 20218648 25273310 28177052 35221315 50546620 56354104 70442630 101093240 140885260 281770520 331080361 662160722 1324321444 1655401805 2648642888 3310803610 6621607220 13243214440