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13302134324240 = 2451011646303753
BaseRepresentation
bin1100000110010010010011…
…1111011011110000010000
31202002200010121112110110112
43001210210333123300100
53220420232341333430
644142525515420452
72542022201106506
oct301444477336020
952080117473415
1013302134324240
114269449049423
1215aa061a54728
13756502a32178
1433db807ca676
151810443dd195
hexc1924fdbc10

13302134324240 has 40 divisors (see below), whose sum is σ = 31233674820888. Its totient is φ = 5268172006400.

The previous prime is 13302134324209. The next prime is 13302134324243. The reversal of 13302134324240 is 4242343120331.

It can be written as a sum of positive squares in 4 ways, for example, as 9399644701456 + 3902489622784 = 3065884^2 + 1975472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133021343242402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13302134324197 and 13302134324206.

It is not an unprimeable number, because it can be changed into a prime (13302134324243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823143797 + ... + 823159956.

Almost surely, 213302134324240 is an apocalyptic number.

13302134324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302134324240 is an abundant number, since it is smaller than the sum of its proper divisors (17931540496648).

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

13302134324240 is a wasteful number, since it uses less digits than its factorization.

13302134324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646303867 (or 1646303861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13302134324240 its reverse (4242343120331), we get a palindrome (17544477444571).

The spelling of 13302134324240 in words is "thirteen trillion, three hundred two billion, one hundred thirty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 1646303753 3292607506 6585215012 8231518765 13170430024 16463037530 26340860048 32926075060 65852150120 131704300240 166276679053 332553358106 665106716212 831383395265 1330213432424 1662766790530 2660426864848 3325533581060 6651067162120 13302134324240