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42042014040 = 23351326950009
BaseRepresentation
bin100111001001111001…
…100011100101011000
311000111222110121011010
4213021321203211120
51142100223422130
631151442133520
73015561136335
oct471171434530
9130458417133
1042042014040
1116914691454
1281939512a0
133c7014a0b0
14206b88198c
151160de80b0
hex9c9e63958

42042014040 has 64 divisors (see below), whose sum is σ = 135828050400. Its totient is φ = 10348803072.

The previous prime is 42042014023. The next prime is 42042014071. The reversal of 42042014040 is 4041024024.

42042014040 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 = 42042013998 and 42042014016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13473445 + ... + 13476564.

Almost surely, 242042014040 is an apocalyptic number.

42042014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042014040 is an abundant number, since it is smaller than the sum of its proper divisors (93786036360).

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

42042014040 is a wasteful number, since it uses less digits than its factorization.

42042014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26950036 (or 26950032 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42042014040 its reverse (4041024024), we get a palindrome (46083038064).

The spelling of 42042014040 in words is "forty-two billion, forty-two million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 26950009 53900018 80850027 107800036 134750045 161700054 215600072 269500090 323400108 350350117 404250135 539000180 646800216 700700234 808500270 1051050351 1078000360 1401400468 1617000540 1751750585 2102100702 2802800936 3234001080 3503501170 4204201404 5255251755 7007002340 8408402808 10510503510 14014004680 21021007020 42042014040