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13340133432 = 2333611012457
BaseRepresentation
bin11000110110010001…
…00100100000111000
31021102200210222211000
430123020210200320
5204310033232212
610043421205000
7651403156203
oct143310444070
937380728730
1013340133432
11572618076a
122703700760
1313479b1ca2
149079c893a
1553123c1dc
hex31b224838

13340133432 has 64 divisors (see below), whose sum is σ = 37663437600. Its totient is φ = 4373809920.

The previous prime is 13340133431. The next prime is 13340133449. The reversal of 13340133432 is 23433104331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13340133396 and 13340133405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340133431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493053 + ... + 519404.

Almost surely, 213340133432 is an apocalyptic number.

13340133432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13340133432 is an abundant number, since it is smaller than the sum of its proper divisors (24323304168).

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

13340133432 is a wasteful number, since it uses less digits than its factorization.

13340133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012533 (or 1012523 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13340133432 its reverse (23433104331), we get a palindrome (36773237763).

The spelling of 13340133432 in words is "thirteen billion, three hundred forty million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 1012457 2024914 3037371 4049828 6074742 8099656 9112113 12149484 18224226 24298968 27336339 36448452 54672678 61759877 72896904 109345356 123519754 185279631 218690712 247039508 370559262 494079016 555838893 741118524 1111677786 1482237048 1667516679 2223355572 3335033358 4446711144 6670066716 13340133432