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13341342240 = 253259264821
BaseRepresentation
bin11000110110011010…
…01011101000100000
31021102210002101222200
430123031023220200
5204310340422430
610043503133200
7651416352342
oct143315135040
937383071880
1013341342240
115726926986
122703ba4200
131348016265
14907c21292
155313ca460
hex31b34ba20

13341342240 has 72 divisors (see below), whose sum is σ = 45527335308. Its totient is φ = 3557690880.

The previous prime is 13341342221. The next prime is 13341342241. The reversal of 13341342240 is 4224314331.

13341342240 is a `hidden beast` number, since 1 + 3 + 3 + 413 + 4 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12905868816 + 435473424 = 113604^2 + 20868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×133413422404 (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13341342241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4630971 + ... + 4633850.

Almost surely, 213341342240 is an apocalyptic number.

13341342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13341342240 is an abundant number, since it is smaller than the sum of its proper divisors (32185993068).

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

13341342240 is a wasteful number, since it uses less digits than its factorization.

13341342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264842 (or 9264831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13341342240 its reverse (4224314331), we get a palindrome (17565656571).

The spelling of 13341342240 in words is "thirteen billion, three hundred forty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9264821 18529642 27794463 37059284 46324105 55588926 74118568 83383389 92648210 111177852 138972315 148237136 166766778 185296420 222355704 277944630 296474272 333533556 370592840 416916945 444711408 555889260 667067112 741185680 833833890 889422816 1111778520 1334134224 1482371360 1667667780 2223557040 2668268448 3335335560 4447114080 6670671120 13341342240