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241434365260 = 2251129101374677
BaseRepresentation
bin1110000011011010011…
…1000000110101001100
3212002011222100112020011
43200312213000311030
512423424144142020
6302525144203004
723304653146504
oct3406647006514
9762158315204
10241434365260
1193434450080
123a95ba69464
13199c85c307a
14b984d88a04
156430d3d35a
hex38369c0d4c

241434365260 has 96 divisors (see below), whose sum is σ = 577843398720. Its totient is φ = 83927424000.

The previous prime is 241434365233. The next prime is 241434365267. The reversal of 241434365260 is 62563434142.

241434365260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241434365267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457042 + ... + 831718.

It is an arithmetic number, because the mean of its divisors is an integer number (6019202070).

Almost surely, 2241434365260 is an apocalyptic number.

241434365260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241434365260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921699360).

241434365260 is an abundant number, since it is smaller than the sum of its proper divisors (336409033460).

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

241434365260 is a wasteful number, since it uses less digits than its factorization.

241434365260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374827 (or 374825 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 241434365260 in words is "two hundred forty-one billion, four hundred thirty-four million, three hundred sixty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3190 4444 5555 5858 6380 11110 11716 14645 22220 29290 32219 58580 64438 128876 161095 322190 374677 644380 749354 1498708 1873385 3746770 4121447 7493540 8242894 10865633 16485788 20607235 21731266 37842377 41214470 43462532 54328165 75684754 82428940 108656330 119521963 151369508 189211885 217312660 239043926 378423770 416266147 478087852 597609815 756847540 832532294 1097428933 1195219630 1665064588 2081330735 2194857866 2390439260 4162661470 4389715732 5487144665 8325322940 10974289330 12071718263 21948578660 24143436526 48286873052 60358591315 120717182630 241434365260