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241104444401142 = 232737151342496391
BaseRepresentation
bin110110110100100010000000…
…110000110010010111110110
31011121200100201021112210211100
4312310202000300302113312
5223100223400231314032
62212441504102150530
7101533135616032530
oct6664420060622766
91147610637483740
10241104444401142
116a906903314803
122305b7a6722446
13a46c08933c76a
14437773595c850
151cd1a2ea1697c
hexdb4880c325f6

241104444401142 has 96 divisors (see below), whose sum is σ = 617216857979904. Its totient is φ = 66581298216000.

The previous prime is 241104444401123. The next prime is 241104444401153.

241104444401142 is a `hidden beast` number, since 2 + 4 + 1 + 104 + 4 + 4 + 4 + 401 + 142 = 666.

241104444401142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2411044444011422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241104444401097 and 241104444401106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170544234 + ... + 171952157.

It is an arithmetic number, because the mean of its divisors is an integer number (6429342270624).

Almost surely, 2241104444401142 is an apocalyptic number.

241104444401142 is an abundant number, since it is smaller than the sum of its proper divisors (376112413578762).

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

241104444401142 is a wasteful number, since it uses less digits than its factorization.

241104444401142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342496594 (or 342496591 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 241104444401142 in words is "two hundred forty-one trillion, one hundred four billion, four hundred forty-four million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 151 222 259 302 333 453 518 666 777 906 1057 1359 1554 2114 2331 2718 3171 4662 5587 6342 9513 11174 16761 19026 33522 39109 50283 78218 100566 117327 234654 351981 703962 342496391 684992782 1027489173 2054978346 2397474737 3082467519 4794949474 6164935038 7192424211 12672366467 14384848422 21577272633 25344732934 38017099401 43154545266 51716955041 76034198802 88706565269 103433910082 114051298203 155150865123 177413130538 228102596406 266119695807 310301730246 362018685287 465452595369 532239391614 724037370574 798359087421 930905190738 1086056055861 1596718174842 1913527336517 2172112111722 3258168167583 3827054673034 5740582009551 6516336335166 11481164019102 13394691355619 17221746028653 26789382711238 34443492057306 40184074066857 80368148133714 120552222200571 241104444401142