Search a number
-
+
13412501440 = 265133224159
BaseRepresentation
bin11000111110111001…
…01000011111000000
31021121201222200001121
430133130220133000
5204432100021230
610054524242024
7653242244512
oct143734503700
937551880047
1013412501440
115763009938
1227239a0314
13135999c5b0
14913465bb2
1553778477a
hex31f7287c0

13412501440 has 56 divisors (see below), whose sum is σ = 34395338880. Its totient is φ = 4952306688.

The previous prime is 13412501423. The next prime is 13412501471. The reversal of 13412501440 is 4410521431.

13412501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1607920 + ... + 1616239.

It is an arithmetic number, because the mean of its divisors is an integer number (614202480).

Almost surely, 213412501440 is an apocalyptic number.

13412501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13412501440 is an abundant number, since it is smaller than the sum of its proper divisors (20982837440).

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

13412501440 is a wasteful number, since it uses less digits than its factorization.

13412501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224189 (or 3224179 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 13412501440 in words is "thirteen billion, four hundred twelve million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 3224159 6448318 12896636 16120795 25793272 32241590 41914067 51586544 64483180 83828134 103173088 128966360 167656268 206346176 209570335 257932720 335312536 419140670 515865440 670625072 838281340 1031730880 1341250144 1676562680 2682500288 3353125360 6706250720 13412501440