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42062318281 = 2323722412
BaseRepresentation
bin100111001011000111…
…000000101011001001
311000120101200011100001
4213023013000223021
51142120423141111
631153445243001
73016225543354
oct471307005311
9130511604301
1042062318281
111692509a315
12819a703461
133c74408b39
14207044929b
151162aa91c1
hex9cb1c0ac9

42062318281 has 27 divisors (see below), whose sum is σ = 45379434933. Its totient is φ = 38983697280.

The previous prime is 42062318273. The next prime is 42062318303. The reversal of 42062318281 is 18281326024.

It is a happy number.

The square root of 42062318281 is 205091.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18258765625 + 23803552656 = 135125^2 + 154284^2 .

It is not a de Polignac number, because 42062318281 - 23 = 42062318273 is a prime.

It is a super-2 number, since 2×420623182812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42062318281.

It is not an unprimeable number, because it can be changed into a prime (42062318231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174532321 + ... + 174532561.

Almost surely, 242062318281 is an apocalyptic number.

42062318281 is the 205091-st square number.

42062318281 is the 102546-th centered octagonal number.

It is an amenable number.

42062318281 is a deficient number, since it is larger than the sum of its proper divisors (3317116652).

42062318281 is an frugal number, since it uses more digits than its factorization.

42062318281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 42062318281 in words is "forty-two billion, sixty-two million, three hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 23 37 241 529 851 1369 5543 8917 19573 31487 58081 127489 205091 329929 724201 1335863 2148997 4717093 7588367 30724849 49426931 79512889 174532441 1136819413 1828796447 42062318281