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241031111414004 = 223217395419960337
BaseRepresentation
bin110110110011011101101101…
…110001101001000011110100
31011121102100102120121002010200
4312303131231301221003310
5223043023204010222004
62212344055225520500
7101524631430651312
oct6663355561510364
91147370376532120
10241031111414004
116a8887a17a810a
122304953b643130
13a4651a0533292
144373d7a4210b2
151cceb8b9d9239
hexdb376dc690f4

241031111414004 has 72 divisors (see below), whose sum is σ = 645129060351048. Its totient is φ = 75615683604480.

The previous prime is 241031111413931. The next prime is 241031111414029. The reversal of 241031111414004 is 400414111130142.

241031111414004 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 3 + 111 + 141 + 400 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72218519429904 + 168812591984100 = 8498148^2 + 12992790^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19218924 + ... + 29179260.

It is an arithmetic number, because the mean of its divisors is an integer number (8960125838209).

Almost surely, 2241031111414004 is an apocalyptic number.

It is an amenable number.

241031111414004 is an abundant number, since it is smaller than the sum of its proper divisors (404097948937044).

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

241031111414004 is a wasteful number, since it uses less digits than its factorization.

241031111414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999905 (or 9999900 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 241031111414004 its reverse (400414111130142), we get a palindrome (641445222544146).

The spelling of 241031111414004 in words is "two hundred forty-one trillion, thirty-one billion, one hundred eleven million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 39541 79082 118623 158164 237246 355869 474492 672197 711738 1344394 1423476 2016591 2688788 4033182 6049773 8066364 9960337 12099546 19920674 24199092 29881011 39841348 59762022 89643033 119524044 169325729 179286066 338651458 358572132 507977187 677302916 1015954374 1523931561 2031908748 3047863122 6095726244 393841685317 787683370634 1181525055951 1575366741268 2363050111902 3544575167853 4726100223804 6695308650389 7089150335706 13390617300778 14178300671412 20085925951167 26781234601556 40171851902334 60257777853501 80343703804668 120515555707002 241031111414004