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241415344016253 = 33119775111158267
BaseRepresentation
bin110110111001000011100011…
…110100101100101101111101
31011122210002012102000122122000
4312321003203310230231331
5223120322111032010003
62213240402240012513
7101564453164123551
oct6671034364545575
91148702172018560
10241415344016253
116aa16744015180
12230abab2301139
13a4924a5348c64
1443887ca4bd861
151cd9b790361a3
hexdb90e3d2cb7d

241415344016253 has 64 divisors (see below), whose sum is σ = 394713464893440. Its totient is φ = 144611127360000.

The previous prime is 241415344016207. The next prime is 241415344016317. The reversal of 241415344016253 is 352610443514142.

241415344016253 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 534 + 4 + 0 + 1 + 62 + 53 = 666.

It is a de Polignac number, because none of the positive numbers 2k-241415344016253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241415344016199 and 241415344016208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241415344016953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16056426 + ... + 27214692.

It is an arithmetic number, because the mean of its divisors is an integer number (6167397888960).

Almost surely, 2241415344016253 is an apocalyptic number.

It is an amenable number.

241415344016253 is a deficient number, since it is larger than the sum of its proper divisors (153298120877187).

241415344016253 is a wasteful number, since it uses less digits than its factorization.

241415344016253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11159135 (or 11159129 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 241415344016253 in words is "two hundred forty-one trillion, four hundred fifteen billion, three hundred forty-four million, sixteen thousand, two hundred fifty-three".

Divisors: 1 3 9 11 27 33 97 99 291 297 751 873 1067 2253 2619 3201 6759 8261 9603 20277 24783 28809 72847 74349 218541 223047 655623 801317 1966869 2403951 7211853 11158267 21635559 33474801 100424403 122740937 301273209 368222811 1082351899 1104668433 3247055697 3314005299 8379858517 9741167091 11905870889 25139575551 29223501273 35717612667 75418726653 92178443687 107152838001 226256179959 276535331061 321458514003 812846276149 829605993183 2438538828447 2488817979549 7315616485341 8941309037639 21946849456023 26823927112917 80471781338751 241415344016253