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241214023024344 = 23325999975609809
BaseRepresentation
bin110110110110001000000100…
…001010000011111011011000
31011122001211120000001121220100
4312312020010022003323120
5223104022304343234334
62213004105320255400
7101544065232666306
oct6666100412037330
91148054500047810
10241214023024344
116a949324619227
1223078a88311560
13a479500452086
14437cb6cbb5276
151cd47e4b26c99
hexdb6204283ed8

241214023024344 has 96 divisors (see below), whose sum is σ = 655035074460000. Its totient is φ = 80189916558336.

The previous prime is 241214023024277. The next prime is 241214023024369. The reversal of 241214023024344 is 443420320412142.

241214023024344 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 1 + 4 + 0 + 2 + 302 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241214023024299 and 241214023024308.

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, 40193712 + ... + 45803520.

It is an arithmetic number, because the mean of its divisors is an integer number (6823282025625).

Almost surely, 2241214023024344 is an apocalyptic number.

241214023024344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241214023024344 is an abundant number, since it is smaller than the sum of its proper divisors (413821051435656).

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

241214023024344 is a wasteful number, since it uses less digits than its factorization.

241214023024344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611417 (or 5611410 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 241214023024344 its reverse (443420320412142), we get a palindrome (684634343436486).

The spelling of 241214023024344 in words is "two hundred forty-one trillion, two hundred fourteen billion, twenty-three million, twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 599 997 1198 1797 1994 2396 2991 3594 3988 4792 5391 5982 7188 7976 8973 10782 11964 14376 17946 21564 23928 35892 43128 71784 597203 1194406 1791609 2388812 3583218 4777624 5374827 5609809 7166436 10749654 11219618 14332872 16829427 21499308 22439236 33658854 42998616 44878472 50488281 67317708 100976562 134635416 201953124 403906248 3360275591 5592979573 6720551182 10080826773 11185959146 13441102364 16778938719 20161653546 22371918292 26882204728 30242480319 33557877438 40323307092 44743836584 50336816157 60484960638 67115754876 80646614184 100673632314 120969921276 134231509752 201347264628 241939842552 402694529256 3350194764227 6700389528454 10050584292681 13400779056908 20101168585362 26801558113816 30151752878043 40202337170724 60303505756086 80404674341448 120607011512172 241214023024344