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241240400440104 = 233132878926857703
BaseRepresentation
bin110110110110100000101000…
…010111111010101100101000
31011122011100122021211011220210
4312312200220113322230220
5223104440320003040404
62213024150544021120
7101546021004222132
oct6666405027725450
91148140567734823
10241240400440104
116a95952aa1908a
122308200a0017a0
13a47bb4515a5b0
144380152072052
151cd533a6cc689
hexdb68285fab28

241240400440104 has 64 divisors (see below), whose sum is σ = 649515970454400. Its totient is φ = 74225234416896.

The previous prime is 241240400440069. The next prime is 241240400440163. The reversal of 241240400440104 is 401044004042142.

241240400440104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4446684 + ... + 22411019.

It is an arithmetic number, because the mean of its divisors is an integer number (10148687038350).

Almost surely, 2241240400440104 is an apocalyptic number.

241240400440104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241240400440104 is an abundant number, since it is smaller than the sum of its proper divisors (408275570014296).

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

241240400440104 is a wasteful number, since it uses less digits than its factorization.

241240400440104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26886514 (or 26886510 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 241240400440104 its reverse (401044004042142), we get a palindrome (642284404482246).

The spelling of 241240400440104 in words is "two hundred forty-one trillion, two hundred forty billion, four hundred million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 28789 57578 86367 115156 172734 230312 345468 374257 690936 748514 1122771 1497028 2245542 2994056 4491084 8982168 26857703 53715406 80573109 107430812 161146218 214861624 322292436 349150139 644584872 698300278 1047450417 1396600556 2094900834 2793201112 4189801668 8379603336 773206411667 1546412823334 2319619235001 3092825646668 4639238470002 6185651293336 9278476940004 10051683351671 18556953880008 20103366703342 30155050055013 40206733406684 60310100110026 80413466813368 120620200220052 241240400440104