Search a number
-
+
241504001003124 = 223229833224866573
BaseRepresentation
bin110110111010010110001000…
…001100010000111001110100
31011200002120001001210020002100
4312322112020030100321310
5223123300143224044444
62213345223442542100
7101604042165102126
oct6672261014207164
91150076031706070
10241504001003124
116aa502a962a662
1223105115367930
13a49a963b530c2
14438cbdaca1216
151cdc117527e69
hexdba588310e74

241504001003124 has 36 divisors (see below), whose sum is σ = 610488912553156. Its totient is φ = 80498634910848.

The previous prime is 241504001003123. The next prime is 241504001003141. The reversal of 241504001003124 is 421300100405142.

241504001003124 is a `hidden beast` number, since 2 + 4 + 1 + 504 + 0 + 0 + 100 + 31 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81858703856400 + 159645297146724 = 9047580^2 + 12635082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2415040010031243 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241504001003123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111359299 + ... + 113507274.

Almost surely, 2241504001003124 is an apocalyptic number.

It is an amenable number.

241504001003124 is an abundant number, since it is smaller than the sum of its proper divisors (368984911550032).

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

241504001003124 is a wasteful number, since it uses less digits than its factorization.

241504001003124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224896416 (or 224896411 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 241504001003124 its reverse (421300100405142), we get a palindrome (662804101408266).

The spelling of 241504001003124 in words is "two hundred forty-one trillion, five hundred four billion, one million, three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 29833 59666 89499 119332 178998 268497 357996 536994 1073988 224866573 449733146 674599719 899466292 1349199438 2023799157 2698398876 4047598314 8095196628 6708444472309 13416888944618 20125333416927 26833777889236 40250666833854 60376000250781 80501333667708 120752000501562 241504001003124