Search a number
-
+
241404212412 = 223311261777647
BaseRepresentation
bin1110000011010011001…
…1111111010010111100
3212002002212121121022000
43200310303333102330
512423343434244122
6302522150022300
723304135643356
oct3406463772274
9762085547260
10241404212412
1193419425870
123a951947990
13199c229664c
14b980d7a0d6
15642d3840ac
hex3834cff4bc

241404212412 has 96 divisors (see below), whose sum is σ = 683029079040. Its totient is φ = 73123896960.

The previous prime is 241404212381. The next prime is 241404212459. The reversal of 241404212412 is 214212404142.

241404212412 is a `hidden beast` number, since 2 + 4 + 1 + 404 + 212 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070173 + ... + 3147819.

It is an arithmetic number, because the mean of its divisors is an integer number (7114886240).

Almost surely, 2241404212412 is an apocalyptic number.

241404212412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241404212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341514539520).

241404212412 is an abundant number, since it is smaller than the sum of its proper divisors (441624866628).

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

241404212412 is a wasteful number, since it uses less digits than its factorization.

241404212412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80288 (or 80280 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 241404212412 its reverse (214212404142), we get a palindrome (455616616554).

The spelling of 241404212412 in words is "two hundred forty-one billion, four hundred four million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2617 5234 7851 10468 15702 23553 28787 31404 47106 57574 70659 77647 86361 94212 115148 141318 155294 172722 232941 259083 282636 310588 345444 465882 518166 698823 777249 854117 931764 1036332 1397646 1554498 1708234 2096469 2562351 2795292 3108996 3416468 4192938 5124702 7687053 8385876 10249404 15374106 23061159 30748212 46122318 92244636 203202199 406404398 609606597 812808796 1219213194 1828819791 2235224189 2438426388 3657639582 4470448378 5486459373 6705672567 7315279164 8940896756 10972918746 13411345134 20117017701 21945837492 26822690268 40234035402 60351053103 80468070804 120702106206 241404212412