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14013061000 = 235329483209
BaseRepresentation
bin11010000110011111…
…00101011110001000
31100011121001020220021
431003033211132020
5212144320423000
610234300310224
71004154024151
oct150317453610
940147036807
1014013061000
115a4100a154
122870b42374
131424232a93
1496d116928
1557036311a
hex3433e5788

14013061000 has 64 divisors (see below), whose sum is σ = 33921342000. Its totient is φ = 5411929600.

The previous prime is 14013060989. The next prime is 14013061021. The reversal of 14013061000 is 16031041.

14013061000 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 8 ways, for example, as 5391684 + 14007669316 = 2322^2 + 118354^2 .

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 15 ways as a sum of consecutive naturals, for example, 212605 + ... + 270604.

Almost surely, 214013061000 is an apocalyptic number.

14013061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013061000 is an abundant number, since it is smaller than the sum of its proper divisors (19908281000).

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

14013061000 is a wasteful number, since it uses less digits than its factorization.

14013061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483259 (or 483245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 14013061000 its reverse (16031041), we get a palindrome (14029092041).

The spelling of 14013061000 in words is "fourteen billion, thirteen million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 483209 966418 1932836 2416045 3865672 4832090 9664180 12080225 14013061 19328360 24160450 28026122 48320900 56052244 60401125 70065305 96641800 112104488 120802250 140130610 241604500 280261220 350326525 483209000 560522440 700653050 1401306100 1751632625 2802612200 3503265250 7006530500 14013061000