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141411331000 = 2353308945779
BaseRepresentation
bin1000001110110011000…
…1011010101110111000
3111112000012100220220201
42003230301122232320
54304102300043000
6144544035331544
713134206323642
oct2035461325670
9445005326821
10141411331000
1154a77011aa5
12234a6450bb4
13104480aa0b4
146bb6c4d892
153a29aa396a
hex20ecc5abb8

141411331000 has 64 divisors (see below), whose sum is σ = 331016868000. Its totient is φ = 56544985600.

The previous prime is 141411330971. The next prime is 141411331069. The reversal of 141411331000 is 133114141.

141411331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414113310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066111 + ... + 3111889.

Almost surely, 2141411331000 is an apocalyptic number.

141411331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141411331000 is an abundant number, since it is smaller than the sum of its proper divisors (189605537000).

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

141411331000 is a wasteful number, since it uses less digits than its factorization.

141411331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48889 (or 48875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 141411331000 its reverse (133114141), we get a palindrome (141544445141).

The spelling of 141411331000 in words is "one hundred forty-one billion, four hundred eleven million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3089 6178 12356 15445 24712 30890 45779 61780 77225 91558 123560 154450 183116 228895 308900 366232 386125 457790 617800 772250 915580 1144475 1544500 1831160 2288950 3089000 4577900 5722375 9155800 11444750 22889500 45779000 141411331 282822662 565645324 707056655 1131290648 1414113310 2828226620 3535283275 5656453240 7070566550 14141133100 17676416375 28282266200 35352832750 70705665500 141411331000