Search a number
-
+
42300014020 = 225111018392269
BaseRepresentation
bin100111011001010001…
…101111110111000100
311001011221221100120221
4213121101233313010
51143112300422040
631233220034124
73025143121015
oct473121576704
9131157840527
1042300014020
1116a37289680
128246232944
133cb1730bc4
142093c4100c
1511788ac74a
hex9d946fdc4

42300014020 has 96 divisors (see below), whose sum is σ = 98024774400. Its totient is φ = 15204672000.

The previous prime is 42300013981. The next prime is 42300014021. The reversal of 42300014020 is 2041000324.

It is a junction number, because it is equal to n+sod(n) for n = 42300013985 and 42300014003.

It is not an unprimeable number, because it can be changed into a prime (42300014021) 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, 18641446 + ... + 18643714.

It is an arithmetic number, because the mean of its divisors is an integer number (1021091400).

Almost surely, 242300014020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42300014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49012387200).

42300014020 is an abundant number, since it is smaller than the sum of its proper divisors (55724760380).

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

42300014020 is a wasteful number, since it uses less digits than its factorization.

42300014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42300014020 its reverse (2041000324), we get a palindrome (44341014344).

The spelling of 42300014020 in words is "forty-two billion, three hundred million, fourteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 839 1010 1111 1678 2020 2222 2269 3356 4195 4444 4538 5555 8390 9076 9229 11110 11345 16780 18458 22220 22690 24959 36916 45380 46145 49918 84739 92290 99836 124795 169478 184580 229169 249590 338956 423695 458338 499180 847390 916676 932129 1145845 1694780 1864258 1903691 2291690 2520859 3728516 3807382 4583380 4660645 5041718 7614764 9321290 9518455 10083436 12604295 18642580 19036910 20940601 25208590 38073820 41881202 50417180 83762404 104703005 192272791 209406010 384545582 418812020 769091164 961363955 1922727910 2115000701 3845455820 4230001402 8460002804 10575003505 21150007010 42300014020