Search a number
-
+
241041244323222 = 23279581231996639
BaseRepresentation
bin110110110011100111001001…
…101111100111110110010110
31011121110022120202110012102200
4312303213021233213312112
5223043204432021320342
62212352452521145330
7101525440511161560
oct6663471157476626
91147408522405380
10241041244323222
116a892021540852
122304b4a902b246
13a466126917455
14437465c0a0330
151cd008139c94c
hexdb39c9be7d96

241041244323222 has 48 divisors (see below), whose sum is σ = 596864955448320. Its totient is φ = 68868820578096.

The previous prime is 241041244323221. The next prime is 241041244323263. The reversal of 241041244323222 is 222323442140142.

241041244323222 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 412 + 4 + 4 + 3 + 232 + 2 + 2 = 666.

It is a super-2 number, since 2×2410412443232222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241041244323221) 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, 119725179 + ... + 121721817.

It is an arithmetic number, because the mean of its divisors is an integer number (12434686571840).

Almost surely, 2241041244323222 is an apocalyptic number.

241041244323222 is an abundant number, since it is smaller than the sum of its proper divisors (355823711125098).

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

241041244323222 is a wasteful number, since it uses less digits than its factorization.

241041244323222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954777 (or 2954774 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 241041244323222 its reverse (222323442140142), we get a palindrome (463364686463364).

The spelling of 241041244323222 in words is "two hundred forty-one trillion, forty-one billion, two hundred forty-four million, three hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 958123 1916246 1996639 2874369 3993278 5748738 5989917 6706861 8623107 11979834 13413722 13976473 17246214 17969751 20120583 27952946 35939502 40241166 41929419 60361749 83858838 120723498 125788257 251576514 1913025748597 3826051497194 5739077245791 11478154491582 13391180240179 17217231737373 26782360480358 34434463474746 40173540720537 80347081441074 120520622161611 241041244323222