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14032231000 = 2353234331409
BaseRepresentation
bin11010001000110001…
…01101101001011000
31100012221010012012021
431010120231221120
5212214222343000
610240223224224
71004505665314
oct150430555130
940187105167
1014032231000
115a50912927
122877448074
1314281b5488
149718a6b44
15571d9d11a
hex34462da58

14032231000 has 128 divisors (see below), whose sum is σ = 34366550400. Its totient is φ = 5352652800.

The previous prime is 14032230997. The next prime is 14032231009. The reversal of 14032231000 is 13223041.

It is a happy number.

It is a super-2 number, since 2×140322310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032231009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9958296 + ... + 9959704.

It is an arithmetic number, because the mean of its divisors is an integer number (268488675).

Almost surely, 214032231000 is an apocalyptic number.

14032231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183275200).

14032231000 is an abundant number, since it is smaller than the sum of its proper divisors (20334319400).

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

14032231000 is a wasteful number, since it uses less digits than its factorization.

14032231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14032231000 its reverse (13223041), we get a palindrome (14045454041).

The spelling of 14032231000 in words is "fourteen billion, thirty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 433 460 500 575 866 920 1000 1150 1409 1732 2165 2300 2818 2875 3464 4330 4600 5636 5750 7045 8660 9959 10825 11272 11500 14090 17320 19918 21650 23000 28180 32407 35225 39836 43300 49795 54125 56360 64814 70450 79672 86600 99590 108250 129628 140900 162035 176125 199180 216500 248975 259256 281800 324070 352250 398360 433000 497950 610097 648140 704500 810175 995900 1220194 1244875 1296280 1409000 1620350 1991800 2440388 2489750 3050485 3240700 4050875 4880776 4979500 6100970 6481400 8101750 9959000 12201940 14032231 15252425 16203500 24403880 28064462 30504850 32407000 56128924 61009700 70161155 76262125 112257848 122019400 140322310 152524250 280644620 305048500 350805775 561289240 610097000 701611550 1403223100 1754028875 2806446200 3508057750 7016115500 14032231000