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133413315240 = 23351601694427
BaseRepresentation
bin111110001000000001…
…1011010001010101000
3110202100210200121212210
41330100003122022220
54141212302041430
6141142250205120
712432051316512
oct1742003321250
9422323617783
10133413315240
115164237a417
1221a33a237a0
13c7720b01aa
146658940bb2
15370c84b2b0
hex1f100da2a8

133413315240 has 64 divisors (see below), whose sum is σ = 400490516160. Its totient is φ = 35554611200.

The previous prime is 133413315179. The next prime is 133413315251. The reversal of 133413315240 is 42513314331.

It is a happy number.

133413315240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1334133152402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133413315198 and 133413315207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155094 + ... + 539333.

It is an arithmetic number, because the mean of its divisors is an integer number (6257664315).

Almost surely, 2133413315240 is an apocalyptic number.

133413315240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133413315240 is an abundant number, since it is smaller than the sum of its proper divisors (267077200920).

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

133413315240 is a wasteful number, since it uses less digits than its factorization.

133413315240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696042 (or 696038 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 133413315240 its reverse (42513314331), we get a palindrome (175926629571).

Subtracting from 133413315240 its reverse (42513314331), we obtain a palindrome (90900000909).

The spelling of 133413315240 in words is "one hundred thirty-three billion, four hundred thirteen million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1601 3202 4803 6404 8005 9606 12808 16010 19212 24015 32020 38424 48030 64040 96060 192120 694427 1388854 2083281 2777708 3472135 4166562 5555416 6944270 8333124 10416405 13888540 16666248 20832810 27777080 41665620 83331240 1111777627 2223555254 3335332881 4447110508 5558888135 6670665762 8894221016 11117776270 13341331524 16676664405 22235552540 26682663048 33353328810 44471105080 66706657620 133413315240