Search a number
-
+
241415542632114 = 23329691223097869
BaseRepresentation
bin110110111001000011101111…
…101010010110111010110010
31011122210002201020202101101000
4312321003233222112322302
5223120323012403211424
62213240434053022430
7101564461125254544
oct6671035752267262
91148702636671330
10241415542632114
116aa16836142214
12230abb48924a16
13a49250753a236
144388808a21694
151cd9b8b6ba3c9
hexdb90efa96eb2

241415542632114 has 64 divisors (see below), whose sum is σ = 555781413744000. Its totient is φ = 77584514575680.

The previous prime is 241415542632107. The next prime is 241415542632133. The reversal of 241415542632114 is 411236245514142.

241415542632114 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 5 + 5 + 4 + 2 + 632 + 1 + 1 + 4 = 666.

It is a super-3 number, since 3×2414155426321143 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 241415542632114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110466829 + ... + 112631040.

It is an arithmetic number, because the mean of its divisors is an integer number (8684084589750).

Almost surely, 2241415542632114 is an apocalyptic number.

241415542632114 is an abundant number, since it is smaller than the sum of its proper divisors (314365871111886).

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

241415542632114 is a wasteful number, since it uses less digits than its factorization.

241415542632114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223098600 (or 223098594 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 241415542632114 in words is "two hundred forty-one trillion, four hundred fifteen billion, five hundred forty-two million, six hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 691 783 1382 1566 2073 4146 6219 12438 18657 20039 37314 40078 60117 120234 180351 360702 541053 1082106 223097869 446195738 669293607 1338587214 2007880821 4015761642 6023642463 6469838201 12047284926 12939676402 19409514603 38819029206 58228543809 116457087618 154160627479 174685631427 308321254958 349371262854 462481882437 924963764874 1387445647311 2774891294622 4162336941933 4470658196891 8324673883866 8941316393782 13411974590673 26823949181346 40235923772019 80471847544038 120707771316057 241415542632114