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13450542240 = 253528021963
BaseRepresentation
bin11001000011011011…
…01111110010100000
31021201101120100020010
430201231233302200
5210021314322430
610102403444520
7654213502602
oct144155576240
937641510203
1013450542240
115782531513
122734686740
13136482b445
14918529172
1553ac9acb0
hex321b6fca0

13450542240 has 48 divisors (see below), whose sum is σ = 42369209568. Its totient is φ = 3586811136.

The previous prime is 13450542221. The next prime is 13450542251. The reversal of 13450542240 is 4224505431.

13450542240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 13450542198 and 13450542207.

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, 14010502 + ... + 14011461.

It is an arithmetic number, because the mean of its divisors is an integer number (882691866).

Almost surely, 213450542240 is an apocalyptic number.

13450542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13450542240 is an abundant number, since it is smaller than the sum of its proper divisors (28918667328).

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

13450542240 is a wasteful number, since it uses less digits than its factorization.

13450542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28021981 (or 28021973 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 13450542240 in words is "thirteen billion, four hundred fifty million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28021963 56043926 84065889 112087852 140109815 168131778 224175704 280219630 336263556 420329445 448351408 560439260 672527112 840658890 896702816 1120878520 1345054224 1681317780 2241757040 2690108448 3362635560 4483514080 6725271120 13450542240