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14427460360 = 235653552353
BaseRepresentation
bin11010110111111000…
…11001001100001000
31101020110210220221201
431123330121030020
5214021412212420
610343342313544
71020345250435
oct153374311410
941213726851
1014427460360
116133a1a565
1229678888b4
13148c0464c1
149ac188b8c
1559691d10a
hex35bf19308

14427460360 has 32 divisors (see below), whose sum is σ = 32511556440. Its totient is φ = 5762136064.

The previous prime is 14427460297. The next prime is 14427460379. The reversal of 14427460360 is 6306472441.

14427460360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6156285444 + 8271174916 = 78462^2 + 90946^2 .

It is a super-4 number, since 4×144274603604 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 250057 + ... + 302296.

Almost surely, 214427460360 is an apocalyptic number.

14427460360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14427460360 is an abundant number, since it is smaller than the sum of its proper divisors (18084096080).

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

14427460360 is a wasteful number, since it uses less digits than its factorization.

14427460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553017 (or 553013 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 14427460360 in words is "fourteen billion, four hundred twenty-seven million, four hundred sixty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 653 1306 2612 3265 5224 6530 13060 26120 552353 1104706 2209412 2761765 4418824 5523530 11047060 22094120 360686509 721373018 1442746036 1803432545 2885492072 3606865090 7213730180 14427460360