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42102412424 = 23157109730557
BaseRepresentation
bin100111001101011111…
…111101010010001000
311000200012010011011022
4213031133331102020
51142211204144144
631201440452012
73020223413042
oct471537752210
9130605104138
1042102412424
1116945794676
1281b001a008
133c7c806497
1420758c4a92
151166378cee
hex9cd7fd488

42102412424 has 32 divisors (see below), whose sum is σ = 79519861080. Its totient is φ = 20897370624.

The previous prime is 42102412421. The next prime is 42102412427. The reversal of 42102412424 is 42421420124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42102412421) and next prime (42102412427).

It can be written as a sum of positive squares in 4 ways, for example, as 17521816900 + 24580595524 = 132370^2 + 156782^2 .

It is a super-2 number, since 2×421024124242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42102412393 and 42102412402.

It is not an unprimeable number, because it can be changed into a prime (42102412421) 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, 1362554 + ... + 1393110.

Almost surely, 242102412424 is an apocalyptic number.

It is an amenable number.

42102412424 is a deficient number, since it is larger than the sum of its proper divisors (37417448656).

42102412424 is a wasteful number, since it uses less digits than its factorization.

42102412424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31817 (or 31813 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 42102412424 its reverse (42421420124), we get a palindrome (84523832548).

The spelling of 42102412424 in words is "forty-two billion, one hundred two million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 157 314 628 1097 1256 2194 4388 8776 30557 61114 122228 172229 244456 344458 688916 1377832 4797449 9594898 19189796 33521029 38379592 67042058 134084116 268168232 5262801553 10525603106 21051206212 42102412424