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241221504424005 = 32571956773709921
BaseRepresentation
bin110110110110001111000010…
…000101010101100001000101
31011122002112212101122002212200
4312312033002011111201011
5223104133120113032010
62213011343532505113
7101544451515563160
oct6666170205254105
91148075771562780
10241221504424005
116a951513685556
122307a41591b199
13a47a1233c9a91
14437d27c644ad7
151cd4ad1832cc0
hexdb63c2155845

241221504424005 has 96 divisors (see below), whose sum is σ = 503007793117440. Its totient is φ = 104466874798080.

The previous prime is 241221504423947. The next prime is 241221504424007. The reversal of 241221504424005 is 500424405122142.

241221504424005 is a `hidden beast` number, since 2 + 4 + 1 + 22 + 150 + 442 + 40 + 0 + 5 = 666.

It is not a de Polignac number, because 241221504424005 - 227 = 241221370206277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221504424007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339431445 + ... + 340141365.

It is an arithmetic number, because the mean of its divisors is an integer number (5239664511640).

Almost surely, 2241221504424005 is an apocalyptic number.

It is an amenable number.

241221504424005 is an abundant number, since it is smaller than the sum of its proper divisors (261786288693435).

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

241221504424005 is a wasteful number, since it uses less digits than its factorization.

241221504424005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766731 (or 766728 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 241221504424005 its reverse (500424405122142), we get a palindrome (741645909546147).

The spelling of 241221504424005 in words is "two hundred forty-one trillion, two hundred twenty-one billion, five hundred four million, four hundred twenty-four thousand, five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 56773 170319 283865 397411 510957 709921 851595 1078687 1192233 1987055 2129763 2554785 3236061 3549605 3576699 4969447 5393435 5961165 6389289 7550809 9708183 10648815 13488499 14908341 16180305 17883495 22652427 24847235 31946445 37754045 40465497 44725023 48540915 67442495 67957281 74541705 94419493 113262135 121396491 202327485 223625115 283258479 339786405 472097465 606982455 849775437 1416292395 4248877185 40304344933 120913034799 201521724665 282130414531 362739104397 604565173995 765782553727 846391243593 1410652072655 1813695521985 2297347661181 2539173730779 3828912768635 4231956217965 5360477876089 6892042983543 11486738305905 12695868653895 16081433628267 26802389380445 34460214917715 48244300884801 80407168141335 241221504424005