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15040342000 = 245317442363
BaseRepresentation
bin11100000000111100…
…10110011111110000
31102211012001112111201
432000132112133300
5221300311421000
610524234420544
71041466540405
oct160036263760
942735045451
1015040342000
116418976612
122ab8b91754
131559002468
14a297262ac
155d063296a
hex3807967f0

15040342000 has 80 divisors (see below), whose sum is σ = 38506901472. Its totient is φ = 5662233600.

The previous prime is 15040341971. The next prime is 15040342021. The reversal of 15040342000 is 24304051.

15040342000 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 (80).

It is a congruent number.

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, 187182 + ... + 255181.

Almost surely, 215040342000 is an apocalyptic number.

15040342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15040342000 is an abundant number, since it is smaller than the sum of its proper divisors (23466559472).

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

15040342000 is a wasteful number, since it uses less digits than its factorization.

15040342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442403 (or 442387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 15040342000 its reverse (24304051), we get a palindrome (15064646051).

The spelling of 15040342000 in words is "fifteen billion, forty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 442363 884726 1769452 2211815 3538904 4423630 7077808 7520171 8847260 11059075 15040342 17694520 22118150 30080684 35389040 37600855 44236300 55295375 60161368 75201710 88472600 110590750 120322736 150403420 176945200 188004275 221181500 300806840 376008550 442363000 601613680 752017100 884726000 940021375 1504034200 1880042750 3008068400 3760085500 7520171000 15040342000