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13023231440 = 2453114833541
BaseRepresentation
bin11000010000011111…
…01011110111010000
31020121121111201000012
430020033223313100
5203132421401230
65552141014052
7640504432532
oct141017536720
936547451005
1013023231440
11558330259a
122635554328
1312c7146c0b
148b7895852
155134e0395
hex3083ebdd0

13023231440 has 80 divisors (see below), whose sum is σ = 31285664256. Its totient is φ = 5036428800.

The previous prime is 13023231439. The next prime is 13023231461. The reversal of 13023231440 is 4413232031.

13023231440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 3676070 + ... + 3679610.

Almost surely, 213023231440 is an apocalyptic number.

13023231440 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 13023231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642832128).

13023231440 is an abundant number, since it is smaller than the sum of its proper divisors (18262432816).

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

13023231440 is a wasteful number, since it uses less digits than its factorization.

13023231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13023231440 its reverse (4413232031), we get a palindrome (17436463471).

The spelling of 13023231440 in words is "thirteen billion, twenty-three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1483 2480 2966 3541 5932 7082 7415 11864 14164 14830 17705 23728 28328 29660 35410 45973 56656 59320 70820 91946 109771 118640 141640 183892 219542 229865 283280 367784 439084 459730 548855 735568 878168 919460 1097710 1756336 1838920 2195420 3677840 4390840 5251303 8781680 10502606 21005212 26256515 42010424 52513030 84020848 105026060 162790393 210052120 325580786 420104240 651161572 813951965 1302323144 1627903930 2604646288 3255807860 6511615720 13023231440