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241392085917568 = 2741373123316267
BaseRepresentation
bin110110111000101101111001…
…100010000101111110000000
31011122200212011111210211012121
4312320231321202011332000
5223114431442443330233
62213221554322134024
7101563000630421635
oct6670557142057600
91148625144724177
10241392085917568
116aa07899470413
12230a74a11b1314
13a4902399700a1
14438762160818c
151cd926724292d
hexdb8b79885f80

241392085917568 has 64 divisors (see below), whose sum is σ = 493948244124720. Its totient is φ = 117436546437120.

The previous prime is 241392085917559. The next prime is 241392085917599. The reversal of 241392085917568 is 865719580293142.

241392085917568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2413920859175682 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241392085917497 and 241392085917506.

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, 59700630 + ... + 63615637.

It is a 1-persistent number, because it is pandigital, but 2⋅241392085917568 = 482784171835136 is not.

Almost surely, 2241392085917568 is an apocalyptic number.

It is an amenable number.

241392085917568 is an abundant number, since it is smaller than the sum of its proper divisors (252556158207152).

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

241392085917568 is a wasteful number, since it uses less digits than its factorization.

241392085917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123316695 (or 123316683 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 70.

The spelling of 241392085917568 in words is "two hundred forty-one trillion, three hundred ninety-two billion, eighty-five million, nine hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 373 656 746 1312 1492 2624 2984 5248 5968 11936 15293 23872 30586 47744 61172 122344 244688 489376 978752 1957504 123316267 246632534 493265068 986530136 1973060272 3946120544 5055966947 7892241088 10111933894 15784482176 20223867788 40447735576 45996967591 80895471152 91993935182 161790942304 183987870364 323581884608 367975740728 647163769216 735951481456 1471902962912 1885875671231 2943805925824 3771751342462 5887611851648 7543502684924 15087005369848 30174010739696 60348021479392 120696042958784 241392085917568