Search a number
-
+
242380152631 = 3153391937643
BaseRepresentation
bin1110000110111011111…
…0111001111100110111
3212011121220000111121001
43201232332321330313
512432343304341011
6303203051504131
723340256206211
oct3415676717467
9764556014531
10242380152631
119387a306131
123ab84758047
1319b1952b576
14ba348235b1
156488db17c1
hex386efb9f37

242380152631 has 16 divisors (see below), whose sum is σ = 254991421440. Its totient is φ = 230070915360.

The previous prime is 242380152617. The next prime is 242380152643. The reversal of 242380152631 is 136251083242.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242380152631 is a prime.

It is a super-2 number, since 2×2423801526312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242380152611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420096 + ... + 6457738.

It is an arithmetic number, because the mean of its divisors is an integer number (15936963840).

Almost surely, 2242380152631 is an apocalyptic number.

242380152631 is a deficient number, since it is larger than the sum of its proper divisors (12611268809).

242380152631 is a wasteful number, since it uses less digits than its factorization.

242380152631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41646.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 242380152631 in words is "two hundred forty-two billion, three hundred eighty million, one hundred fifty-two thousand, six hundred thirty-one".

Divisors: 1 31 53 1643 3919 37643 121489 207707 1166933 1995079 6438917 61847449 147522917 4573210427 7818714601 242380152631