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241612642640 = 24514920269517
BaseRepresentation
bin1110000100000100111…
…1000101100101010000
3212002122101210221211002
43201001033011211100
512424310314031030
6302554553241132
723312246401565
oct3410117054520
9762571727732
10241612642640
1193516046556
123a9ab7031a8
1319a26512b45
14b9a091486c
156441806245
hex38413c5950

241612642640 has 40 divisors (see below), whose sum is σ = 565519552200. Its totient is φ = 95996427776.

The previous prime is 241612642639. The next prime is 241612642697. The reversal of 241612642640 is 46246216142.

It can be written as a sum of positive squares in 4 ways, for example, as 11738422336 + 229874220304 = 108344^2 + 479452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 241612642594 and 241612642603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10122839 + ... + 10146678.

It is an arithmetic number, because the mean of its divisors is an integer number (14137988805).

Almost surely, 2241612642640 is an apocalyptic number.

241612642640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241612642640 is an abundant number, since it is smaller than the sum of its proper divisors (323906909560).

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

241612642640 is a wasteful number, since it uses less digits than its factorization.

241612642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20269679 (or 20269673 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

Adding to 241612642640 its reverse (46246216142), we get a palindrome (287858858782).

The spelling of 241612642640 in words is "two hundred forty-one billion, six hundred twelve million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 20269517 40539034 81078068 101347585 162156136 202695170 324312272 405390340 810780680 1621561360 3020158033 6040316066 12080632132 15100790165 24161264264 30201580330 48322528528 60403160660 120806321320 241612642640