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242104431204 = 2232151166726717
BaseRepresentation
bin1110000101111010001…
…1000111001001100100
3212010220200012101220100
43201132203013021210
512431312213244304
6303115442104100
723330400465516
oct3413643071144
9763820171810
10242104431204
1193748704589
123ab0834b030
1319aa43814ac
14ba09d6dbb6
15646ea9b439
hex385e8c7264

242104431204 has 72 divisors (see below), whose sum is σ = 616431711168. Its totient is φ = 80115940800.

The previous prime is 242104431181. The next prime is 242104431209. The reversal of 242104431204 is 402134401242.

242104431204 is a `hidden beast` number, since 2 + 4 + 2 + 10 + 443 + 1 + 204 = 666.

It is a super-2 number, since 2×2421044312042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242104431209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9048454 + ... + 9075170.

It is an arithmetic number, because the mean of its divisors is an integer number (8561551544).

Almost surely, 2242104431204 is an apocalyptic number.

It is an amenable number.

242104431204 is an abundant number, since it is smaller than the sum of its proper divisors (374327279964).

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

242104431204 is a wasteful number, since it uses less digits than its factorization.

242104431204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28545 (or 28540 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242104431204 its reverse (402134401242), we get a palindrome (644238832446).

The spelling of 242104431204 in words is "two hundred forty-two billion, one hundred four million, four hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1667 1812 2718 3334 5001 5436 6668 10002 15003 20004 26717 30006 53434 60012 80151 106868 160302 240453 251717 320604 480906 503434 755151 961812 1006868 1510302 2265453 3020604 4034267 4530906 8068534 9061812 12102801 16137068 24205602 36308403 44537239 48411204 72616806 89074478 133611717 145233612 178148956 267223434 400835151 534446868 801670302 1603340604 6725123089 13450246178 20175369267 26900492356 40350738534 60526107801 80701477068 121052215602 242104431204