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241241512104404 = 22731714479714349
BaseRepresentation
bin110110110110100001101010…
…101000100101000111010100
31011122011110111202121120122122
4312312201222220211013110
5223110000104044320104
62213024453134515112
7101546060363216000
oct6666415250450724
91148143452546578
10241241512104404
116a959a5047aa09
122308227a365a98
13a47bc91563516
144380219969700
151cd53a30b96be
hexdb686aa251d4

241241512104404 has 96 divisors (see below), whose sum is σ = 521326915200000. Its totient is φ = 97300643876352.

The previous prime is 241241512104347. The next prime is 241241512104529. The reversal of 241241512104404 is 404401215142142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337351022 + ... + 338065370.

It is an arithmetic number, because the mean of its divisors is an integer number (5430488700000).

Almost surely, 2241241512104404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241241512104404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260663457600000).

241241512104404 is an abundant number, since it is smaller than the sum of its proper divisors (280085403095596).

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

241241512104404 is a wasteful number, since it uses less digits than its factorization.

241241512104404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728870 (or 728854 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

Adding to 241241512104404 its reverse (404401215142142), we get a palindrome (645642727246546).

The spelling of 241241512104404 in words is "two hundred forty-one trillion, two hundred forty-one billion, five hundred twelve million, one hundred four thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 3332 5831 11662 14479 23324 28958 57916 101353 202706 246143 405412 492286 709471 714349 984572 1418942 1428698 1723001 2837884 2857396 3446002 4966297 5000443 6892004 9932594 10000886 12061007 12143933 19865188 20001772 24122014 24287866 35003101 48244028 48575732 70006202 84427049 85007531 140012404 168854098 170015062 245021707 337708196 340030124 490043414 595052717 980086828 1190105434 2380210868 4165369019 8330738038 10343059171 16661476076 20686118342 41372236684 72401414197 144802828394 175832005907 289605656788 351664011814 506809899379 703328023628 1013619798758 1230824041349 2027239597516 2461648082698 3547669295653 4923296165396 7095338591306 8615768289443 14190677182612 17231536578886 34463073157772 60310378026101 120620756052202 241241512104404