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242341544034 = 23419755713633
BaseRepresentation
bin1110000110110010101…
…1101000000001100010
3212011112012100222120000
43201230223220001202
512432303413402114
6303155152200430
723336310064542
oct3415453500142
9764465328500
10242341544034
119385a5359a7
123ab73839116
1319b11531145
14ba2d653322
1564857d6e09
hex386cae8062

242341544034 has 80 divisors (see below), whose sum is σ = 546801004728. Its totient is φ = 80220284928.

The previous prime is 242341544009. The next prime is 242341544063. The reversal of 242341544034 is 430445143242.

242341544034 is a `hidden beast` number, since 2 + 4 + 234 + 15 + 4 + 403 + 4 = 666.

242341544034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232058975625 + 10282568409 = 481725^2 + 101403^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242341544034.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17769282 + ... + 17782914.

Almost surely, 2242341544034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242341544034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273400502364).

242341544034 is an abundant number, since it is smaller than the sum of its proper divisors (304459460694).

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

242341544034 is a wasteful number, since it uses less digits than its factorization.

242341544034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14401 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 242341544034 its reverse (430445143242), we get a palindrome (672786687276).

The spelling of 242341544034 in words is "two hundred forty-two billion, three hundred forty-one million, five hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 557 591 1114 1182 1671 1773 3342 3546 5013 5319 10026 10638 13633 15039 15957 27266 30078 31914 40899 45117 81798 90234 109729 122697 219458 245394 329187 368091 658374 736182 987561 1104273 1975122 2208546 2685701 2962683 5371402 5925366 7593581 8057103 8888049 15187162 16114206 17776098 22780743 24171309 45561486 48342618 68342229 72513927 136684458 145027854 205026687 217541781 410053374 435083562 615080061 1230160122 1495935457 2991870914 4487806371 8975612742 13463419113 26926838226 40390257339 80780514678 121170772017 242341544034