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13428452240 = 245747935003
BaseRepresentation
bin11001000000110010…
…11110101110010000
31021122212000001102222
430200121132232100
5210000140432430
610100254200212
7653524650350
oct144031365620
937585001388
1013428452240
115771013a15
1227291b3068
131360095938
14915618b60
15538d859e5
hex32065eb90

13428452240 has 80 divisors (see below), whose sum is σ = 35695893888. Its totient is φ = 4602160128.

The previous prime is 13428452231. The next prime is 13428452243. The reversal of 13428452240 is 4225482431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×134284522402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13428452240.

It is not an unprimeable number, because it can be changed into a prime (13428452243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2681579 + ... + 2686581.

Almost surely, 213428452240 is an apocalyptic number.

13428452240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13428452240 is an abundant number, since it is smaller than the sum of its proper divisors (22267441648).

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

13428452240 is a wasteful number, since it uses less digits than its factorization.

13428452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 13428452240 in words is "thirteen billion, four hundred twenty-eight million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4793 5003 9586 10006 19172 20012 23965 25015 33551 35021 38344 40024 47930 50030 67102 70042 76688 80048 95860 100060 134204 140084 167755 175105 191720 200120 268408 280168 335510 350210 383440 400240 536816 560336 671020 700420 1342040 1400840 2684080 2801680 23979379 47958758 95917516 119896895 167855653 191835032 239793790 335711306 383670064 479587580 671422612 839278265 959175160 1342845224 1678556530 1918350320 2685690448 3357113060 6714226120 13428452240