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241253340105232 = 247213214911101431
BaseRepresentation
bin110110110110101100101011…
…101000110100101000010000
31011122012121001002002021111101
4312312230223220310220100
5223110143320031331412
62213034130541554144
7101546656445446300
oct6666545350645020
91148177032067441
10241253340105232
116a963a70034004
122308461b575954
13a480127b95a90
144380a1c7b3600
151cd58466b2457
hexdb6b2ba34a10

241253340105232 has 120 divisors (see below), whose sum is σ = 585597355745472. Its totient is φ = 95436354182400.

The previous prime is 241253340105229. The next prime is 241253340105247. The reversal of 241253340105232 is 232501043352142.

It is a super-2 number, since 2×2412533401052322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241253340105191 and 241253340105200.

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 23 ways as a sum of consecutive naturals, for example, 218485557 + ... + 219586987.

Almost surely, 2241253340105232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241253340105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292798677872736).

241253340105232 is an abundant number, since it is smaller than the sum of its proper divisors (344344015640240).

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

241253340105232 is a wasteful number, since it uses less digits than its factorization.

241253340105232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122957 (or 1122944 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 241253340105232 its reverse (232501043352142), we get a palindrome (473754383457374).

The spelling of 241253340105232 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred forty million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 21491 42982 85964 150437 171928 279383 300874 343856 558766 601748 1053059 1101431 1117532 1203496 1955681 2106118 2202862 2235064 2406992 3911362 4212236 4405724 4470128 7710017 7822724 8424472 8811448 13689767 14318603 15420034 15645448 16848944 17622896 27379534 28637206 30840068 31290896 53970119 54759068 57274412 61680136 100230221 107940238 109518136 114548824 123360272 200460442 215880476 219036272 229097648 400920884 431760952 701611547 801841768 863521904 1403223094 1603683536 2806446188 5612892376 11225784752 23670853621 47341707242 94683414484 165695975347 189366828968 307721097073 331391950694 378733657936 615442194146 662783901388 1159871827429 1230884388292 1325567802776 2154047679511 2319743654858 2461768776584 2651135605552 4308095359022 4639487309716 4923537553168 8616190718044 9278974619432 15078333756577 17232381436088 18557949238864 30156667513154 34464762872176 60313335026308 120626670052616 241253340105232