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241315172414304 = 2534161309749089
BaseRepresentation
bin110110110111100110010001…
…001000010111001101100000
31011122102111122021111000202120
4312313212101020113031200
5223112201433114224204
62213122354302544240
7101554305634425042
oct6667462110271540
91148374567430676
10241315172414304
116a98820a832a8a
12230945b6b98080
13a485c00116001
144383a0674da92
151cd7264c016d9
hexdb7991217360

241315172414304 has 48 divisors (see below), whose sum is σ = 648902384368560. Its totient is φ = 78476478832640.

The previous prime is 241315172414257. The next prime is 241315172414321. The reversal of 241315172414304 is 403414271513142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30654870609 + ... + 30654878480.

It is an arithmetic number, because the mean of its divisors is an integer number (13518799674345).

Almost surely, 2241315172414304 is an apocalyptic number.

241315172414304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241315172414304 is an abundant number, since it is smaller than the sum of its proper divisors (407587211954256).

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

241315172414304 is a wasteful number, since it uses less digits than its factorization.

241315172414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61309749143 (or 61309749135 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 241315172414304 in words is "two hundred forty-one trillion, three hundred fifteen billion, one hundred seventy-two million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 61309749089 122619498178 183929247267 245238996356 367858494534 490477992712 735716989068 980955985424 1471433978136 1961911970848 2513699712649 2942867956272 5027399425298 5885735912544 7541099137947 10054798850596 15082198275894 20109597701192 30164396551788 40219195402384 60328793103576 80438390804768 120657586207152 241315172414304