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42120443440 = 2454631137161
BaseRepresentation
bin100111001110100100…
…101111011000110000
311000201110001020001201
4213032210233120300
51142230313142230
631203323140544
73020532601435
oct471644573060
9130643036051
1042120443440
111695498a639
1281b6074754
133c8347a61a
142078059b8c
151167c3b5ca
hex9ce92f630

42120443440 has 40 divisors (see below), whose sum is σ = 98141629248. Its totient is φ = 16811773440.

The previous prime is 42120443399. The next prime is 42120443441. The reversal of 42120443440 is 4434402124.

42120443440 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 42120443399 and 42120443408.

It is not an unprimeable number, because it can be changed into a prime (42120443441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531541 + ... + 605620.

Almost surely, 242120443440 is an apocalyptic number.

42120443440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120443440 is an abundant number, since it is smaller than the sum of its proper divisors (56021185808).

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

42120443440 is a wasteful number, since it uses less digits than its factorization.

42120443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137637 (or 1137631 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42120443440 its reverse (4434402124), we get a palindrome (46554845564).

The spelling of 42120443440 in words is "forty-two billion, one hundred twenty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 463 926 1852 2315 3704 4630 7408 9260 18520 37040 1137161 2274322 4548644 5685805 9097288 11371610 18194576 22743220 45486440 90972880 526505543 1053011086 2106022172 2632527715 4212044344 5265055430 8424088688 10530110860 21060221720 42120443440