Search a number
-
+
241223350314105 = 3257175500266139
BaseRepresentation
bin110110110110010000110000…
…000110110110010001111001
31011122002201122001000001001200
4312312100300012312101321
5223104200410140022410
62213012251032404413
7101544545331440025
oct6666206006662171
91148081561001050
10241223350314105
116a952280633065
122307a84bb46709
13a47a358966643
14437d3b5865385
151cd4b8d9033c0
hexdb64301b6479

241223350314105 has 24 divisors (see below), whose sum is σ = 424009494642240. Its totient is φ = 126840447111840.

The previous prime is 241223350314053. The next prime is 241223350314157. The reversal of 241223350314105 is 501413053322142.

241223350314105 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 3 + 3 + 503 + 141 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (241223350314053) and next prime (241223350314157).

It is not a de Polignac number, because 241223350314105 - 211 = 241223350312057 is a prime.

It is a super-2 number, since 2×2412233503141052 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241223350314105.

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 23 ways as a sum of consecutive naturals, for example, 37750129875 + ... + 37750136264.

It is an arithmetic number, because the mean of its divisors is an integer number (17667062276760).

Almost surely, 2241223350314105 is an apocalyptic number.

It is an amenable number.

241223350314105 is a deficient number, since it is larger than the sum of its proper divisors (182786144328135).

241223350314105 is a wasteful number, since it uses less digits than its factorization.

241223350314105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75500266221 (or 75500266218 counting only the distinct ones).

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

The spelling of 241223350314105 in words is "two hundred forty-one trillion, two hundred twenty-three billion, three hundred fifty million, three hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 71 213 355 639 1065 3195 75500266139 226500798417 377501330695 679502395251 1132503992085 3397511976255 5360518895869 16081556687607 26802594479345 48244670062821 80407783438035 241223350314105