Search a number
-
+
242345540016 = 24321998457061
BaseRepresentation
bin1110000110110011101…
…0110111100110110000
3212011112110220000000100
43201230322313212300
512432310424240031
6303155413552400
723336356046616
oct3415472674660
9764473800010
10242345540016
1193861815168
123ab75045700
1319b122ccc28
14ba2ddb36b6
156485d25de6
hex386ceb79b0

242345540016 has 60 divisors (see below), whose sum is σ = 681639197200. Its totient is φ = 80375898240.

The previous prime is 242345540009. The next prime is 242345540137. The reversal of 242345540016 is 610045543242.

242345540016 is a `hidden beast` number, since 2 + 4 + 234 + 5 + 5 + 400 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4199875 + ... + 4257186.

Almost surely, 2242345540016 is an apocalyptic number.

It is an amenable number.

242345540016 is an abundant number, since it is smaller than the sum of its proper divisors (439293657184).

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

242345540016 is a wasteful number, since it uses less digits than its factorization.

242345540016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457274 (or 8457265 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 242345540016 in words is "two hundred forty-two billion, three hundred forty-five million, five hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4776 7164 9552 14328 28656 8457061 16914122 25371183 33828244 50742366 67656488 76113549 101484732 135312976 152227098 202969464 304454196 405938928 608908392 1217816784 1682955139 3365910278 5048865417 6731820556 10097730834 13463641112 15146596251 20195461668 26927282224 30293192502 40390923336 60586385004 80781846672 121172770008 242345540016