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241005103331340 = 223528345731057919
BaseRepresentation
bin110110110011000101011111…
…100100101011100000001100
31011121022212022000210120212210
4312303011133210223200030
5223042111422423100330
62212324114354230420
7101523021062623365
oct6663053744534014
91147285260716783
10241005103331340
116a878765927717
12230444a1585410
13a4628b71bc95a
1443729d0224b6c
151cce16858a8b0
hexdb315f92b80c

241005103331340 has 96 divisors (see below), whose sum is σ = 678680649400320. Its totient is φ = 63900796663296.

The previous prime is 241005103331273. The next prime is 241005103331371. The reversal of 241005103331340 is 43133301500142.

It is a happy number.

241005103331340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241005103331298 and 241005103331307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7769100 + ... + 23288819.

It is an arithmetic number, because the mean of its divisors is an integer number (7069590097920).

Almost surely, 2241005103331340 is an apocalyptic number.

241005103331340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241005103331340 is an abundant number, since it is smaller than the sum of its proper divisors (437675546068980).

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

241005103331340 is a wasteful number, since it uses less digits than its factorization.

241005103331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31058671 (or 31058669 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 241005103331340 its reverse (43133301500142), we get a palindrome (284138404831482).

The spelling of 241005103331340 in words is "two hundred forty-one trillion, five billion, one hundred three million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 457 566 849 914 1132 1371 1415 1698 1828 2285 2742 2830 3396 4245 4570 5484 5660 6855 8490 9140 13710 16980 27420 129331 258662 387993 517324 646655 775986 1293310 1551972 1939965 2586620 3879930 7759860 31057919 62115838 93173757 124231676 155289595 186347514 310579190 372695028 465868785 621158380 931737570 1863475140 8789391077 14193468983 17578782154 26368173231 28386937966 35157564308 42580406949 43946955385 52736346462 56773875932 70967344915 85160813898 87893910770 105472692924 131840866155 141934689830 170321627796 175787821540 212902034745 263681732310 283869379660 425804069490 527363464620 851608138980 4016751722189 8033503444378 12050255166567 16067006888756 20083758610945 24100510333134 40167517221890 48201020666268 60251275832835 80335034443780 120502551665670 241005103331340