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24000000000042 = 23112919165650183
BaseRepresentation
bin1010111010011111011110…
…11110011000000000101010
310010222101012021011012122110
411131033233132120000222
511121204000000000132
6123013240420103150
75024641242025113
oct535175736300052
9103871167135573
1024000000000042
117713385359740
12283743b534ab6
1310512620ac4a1
145cd86b59b20a
152b9465d411cc
hex15d3ef79802a

24000000000042 has 64 divisors (see below), whose sum is σ = 54452888616960. Its totient is φ = 6985179364800.

The previous prime is 24000000000007. The next prime is 24000000000043.

24000000000042 is nontrivially palindromic in base 10.

24000000000042 is a modest number, since divided by 42 gives 24 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 23999999999937 and 24000000000027.

It is not an unprimeable number, because it can be changed into a prime (24000000000043) 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, 32459518 + ... + 33190665.

It is an arithmetic number, because the mean of its divisors is an integer number (850826384640).

Almost surely, 224000000000042 is an apocalyptic number.

24000000000042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24000000000042 is an abundant number, since it is smaller than the sum of its proper divisors (30452888616918).

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

24000000000042 is a wasteful number, since it uses less digits than its factorization.

24000000000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65650419.

The product of its (nonzero) digits is 64, while the sum is 12.

It can be divided in two parts, 240000000000 and 42, that added together give a palindrome (240000000042).

The spelling of 24000000000042 in words is "twenty-four trillion, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 191 319 382 573 638 957 1146 1914 2101 4202 5539 6303 11078 12606 16617 33234 60929 121858 182787 365574 65650183 131300366 196950549 393901098 722152013 1444304026 1903855307 2166456039 3807710614 4332912078 5711565921 11423131842 12539184953 20942408377 25078369906 37617554859 41884816754 62827225131 75235109718 125654450262 137931034483 275862068966 363636363637 413793103449 727272727274 827586206898 1090909090911 2181818181822 4000000000007 8000000000014 12000000000021 24000000000042