Search a number
-
+
241504034035113 = 321923211291016751
BaseRepresentation
bin110110111010010110001010…
…001010010001010110101001
31011200002120010100221102110100
4312322112022022101112221
5223123300230203110423
62213345231022540013
7101604043045626243
oct6672261212212651
91150076110842410
10241504034035113
116aa50316241023
1223105124437609
13a49a96a94a165
14438cc0141d093
151cdc11a3a0343
hexdba58a2915a9

241504034035113 has 48 divisors (see below), whose sum is σ = 384980240885760. Its totient is φ = 145205717580000.

The previous prime is 241504034035097. The next prime is 241504034035123. The reversal of 241504034035113 is 311530430405142.

241504034035113 is a `hidden beast` number, since 2 + 4 + 1 + 504 + 0 + 3 + 4 + 0 + 35 + 113 = 666.

It is not a de Polignac number, because 241504034035113 - 24 = 241504034035097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241504034035123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144678513 + ... + 146338238.

It is an arithmetic number, because the mean of its divisors is an integer number (8020421685120).

Almost surely, 2241504034035113 is an apocalyptic number.

241504034035113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

241504034035113 is a deficient number, since it is larger than the sum of its proper divisors (143476206850647).

241504034035113 is a wasteful number, since it uses less digits than its factorization.

241504034035113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291017010 (or 291017007 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 241504034035113 in words is "two hundred forty-one trillion, five hundred four billion, thirty-four million, thirty-five thousand, one hundred thirteen".

Divisors: 1 3 9 19 23 57 69 171 207 211 437 633 1311 1899 3933 4009 4853 12027 14559 36081 43677 92207 276621 829863 291016751 873050253 2619150759 5529318269 6693385273 16587954807 20080155819 49763864421 60240467457 61404534461 127174320187 184213603383 381522960561 552640810149 1144568881683 1166686154759 1412304292603 3500058464277 4236912877809 10500175392831 12710738633427 26833781559457 80501344678371 241504034035113