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15042542040 = 2332541784839
BaseRepresentation
bin11100000001001101…
…01111100111011000
31102211100012022101200
432000212233213120
5221301342321130
610524353514200
71041524332461
oct160046574730
942740168350
1015042542040
11641a139529
122ab9872960
1315595c2966
14a29b39d68
155d0919760
hex3809af9d8

15042542040 has 48 divisors (see below), whose sum is σ = 48888262800. Its totient is φ = 4011344448.

The previous prime is 15042542017. The next prime is 15042542069. The reversal of 15042542040 is 4024524051.

15042542040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15042541995 and 15042542013.

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 11 ways as a sum of consecutive naturals, for example, 20892060 + ... + 20892779.

It is an arithmetic number, because the mean of its divisors is an integer number (1018505475).

Almost surely, 215042542040 is an apocalyptic number.

15042542040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15042542040 is an abundant number, since it is smaller than the sum of its proper divisors (33845720760).

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

15042542040 is a wasteful number, since it uses less digits than its factorization.

15042542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41784856 (or 41784849 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 15042542040 in words is "fifteen billion, forty-two million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 41784839 83569678 125354517 167139356 208924195 250709034 334278712 376063551 417848390 501418068 626772585 752127102 835696780 1002836136 1253545170 1504254204 1671393560 1880317755 2507090340 3008508408 3760635510 5014180680 7521271020 15042542040