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241254223231252 = 2272111736599179849
BaseRepresentation
bin110110110110101101100000…
…010001101011100100010100
31011122012200022121211201122111
4312312231200101223210110
5223110202122121400002
62213034354330240404
7101550020361055600
oct6666554021534424
91148180277751574
10241254223231252
116a964383590720
1223084827286104
13a480238b31b5a
144380aa3bba500
151cd5898ea93d7
hexdb6b6046b914

241254223231252 has 144 divisors (see below), whose sum is σ = 567307041840000. Its totient is φ = 88463116277760.

The previous prime is 241254223231199. The next prime is 241254223231297. The reversal of 241254223231252 is 252132322452142.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1341336624 + ... + 1341516472.

It is an arithmetic number, because the mean of its divisors is an integer number (3939632235000).

Almost surely, 2241254223231252 is an apocalyptic number.

241254223231252 is a gapful number since it is divisible by the number (22) 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 241254223231252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283653520920000).

241254223231252 is an abundant number, since it is smaller than the sum of its proper divisors (326052818608748).

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

241254223231252 is a wasteful number, since it uses less digits than its factorization.

241254223231252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216494 (or 216485 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

Adding to 241254223231252 its reverse (252132322452142), we get a palindrome (493386545683394).

The spelling of 241254223231252 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 1078 1309 1666 2156 2618 3332 5236 9163 18326 36599 36652 73198 146396 179849 256193 359698 402589 512386 622183 719396 805178 1024772 1244366 1258943 1610356 1793351 1978339 2488732 2517886 2818123 3057433 3586702 3956678 4355281 5035772 5636246 6114866 6844013 7173404 7913356 8710562 8812601 11272492 12229732 13688026 13848373 17421124 17625202 19726861 21402031 27376052 27696746 30486967 33631763 35250404 39453722 42804062 47908091 55393492 60973934 67263526 78907444 85608124 95816182 96938611 121947868 134527052 149814217 191632364 193877222 235422341 299628434 335356637 387754444 470844682 599256868 670713274 941689364 1341426548 1647956387 3295912774 6582293551 6591825548 13164587102 26329174204 46076054857 72405229061 92152109714 111898990367 144810458122 184304219428 223797980734 289620916244 322532383999 447595961468 506836603427 645064767998 783292932569 1013673206854 1230888894037 1290129535996 1566585865138 2027346413708 2461777788074 3133171730276 3547856223989 4923555576148 5483050527983 7095712447978 8616222258259 10966101055966 14191424895956 17232444516518 21932202111932 34464889033036 60313555807813 120627111615626 241254223231252