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242243400302320 = 24529104415258751
BaseRepresentation
bin110111000101000110101111…
…110100101111111011110000
31011202201020120002000101201211
4313011012233310233323300
5223222403440434133240
62215113025400005504
7102011336166331144
oct6705065764577360
91152636502011654
10242243400302320
117020593821a94a
1223204488760894
13a5225baa8ca21
1443b6900a87224
151d014904abbea
hexdc51afd2fef0

242243400302320 has 40 divisors (see below), whose sum is σ = 582637143836160. Its totient is φ = 93556071840000.

The previous prime is 242243400302251. The next prime is 242243400302357. The reversal of 242243400302320 is 23203004342242.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52207627056 + ... + 52207631695.

It is an arithmetic number, because the mean of its divisors is an integer number (14565928595904).

Almost surely, 2242243400302320 is an apocalyptic number.

242243400302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242243400302320 is an abundant number, since it is smaller than the sum of its proper divisors (340393743533840).

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

242243400302320 is a wasteful number, since it uses less digits than its factorization.

242243400302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104415258793 (or 104415258787 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 242243400302320 its reverse (23203004342242), we get a palindrome (265446404644562).

The spelling of 242243400302320 in words is "two hundred forty-two trillion, two hundred forty-three billion, four hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 104415258751 208830517502 417661035004 522076293755 835322070008 1044152587510 1670644140016 2088305175020 3028042503779 4176610350040 6056085007558 8353220700080 12112170015116 15140212518895 24224340030232 30280425037790 48448680060464 60560850075580 121121700151160 242243400302320