Search a number
-
+
42362979102 = 234620342157
BaseRepresentation
bin100111011101000001…
…111100001100011110
311001100100102022110000
4213131001330030132
51143224410312402
631243345355130
73026536244463
oct473501741436
9131310368400
1042362979102
1116a69885234
128263338aa6
133cc17a8652
14209c35166a
15117e198c1c
hex9dd07c31e

42362979102 has 40 divisors (see below), whose sum is σ = 94942008216. Its totient is φ = 14118381648.

The previous prime is 42362979089. The next prime is 42362979119. The reversal of 42362979102 is 20197926324.

42362979102 is a `hidden beast` number, since 4 + 2 + 3 + 629 + 7 + 9 + 10 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 983808 + ... + 1025964.

Almost surely, 242362979102 is an apocalyptic number.

42362979102 is an abundant number, since it is smaller than the sum of its proper divisors (52579029114).

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

42362979102 is a wasteful number, since it uses less digits than its factorization.

42362979102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48374 (or 48365 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 42362979102 in words is "forty-two billion, three hundred sixty-two million, nine hundred seventy-nine thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 6203 12406 18609 37218 42157 55827 84314 111654 126471 167481 252942 334962 379413 502443 758826 1004886 1138239 2276478 3414717 6829434 261499871 522999742 784499613 1568999226 2353498839 4706997678 7060496517 14120993034 21181489551 42362979102