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241045154433145 = 5295219029353389
BaseRepresentation
bin110110110011101010110010…
…110011100000100001111001
31011121110200200021000100212201
4312303222302303200201321
5223043240434013330040
62212354340520310201
7101525636430441136
oct6663526263404171
91147420607010781
10241045154433145
116a893748709257
12230501ba612361
13a4665caa24c6a
14437490d4d558d
151cd020e7b8a9a
hexdb3ab2ce0879

241045154433145 has 32 divisors (see below), whose sum is σ = 299836855332000. Its totient is φ = 185808130959360.

The previous prime is 241045154433077. The next prime is 241045154433197. The reversal of 241045154433145 is 541334451540142.

It can be written as a sum of positive squares in 16 ways, for example, as 5335120604944 + 235710033828201 = 2309788^2 + 15352851^2 .

It is not a de Polignac number, because 241045154433145 - 245 = 205860782344313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241045154433095 and 241045154433104.

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, 681919111 + ... + 682272499.

It is an arithmetic number, because the mean of its divisors is an integer number (9369901729125).

Almost surely, 2241045154433145 is an apocalyptic number.

It is an amenable number.

241045154433145 is a deficient number, since it is larger than the sum of its proper divisors (58791700898855).

241045154433145 is a wasteful number, since it uses less digits than its factorization.

241045154433145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362973.

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 241045154433145 in words is "two hundred forty-one trillion, forty-five billion, one hundred fifty-four million, four hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 5 29 145 521 2605 9029 15109 45145 75545 261841 353389 1309205 1766945 4704109 10248281 23520545 51241405 136419161 184115669 682095805 920578345 3190749281 5339354401 15953746405 26696772005 92531729149 462658645745 1662380375401 8311901877005 48209030886629 241045154433145