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3323617040241 = 32312196032
BaseRepresentation
bin110000010111010111000…
…000110101011101110001
3102202201211120211020212100
4300113113000311131301
5413423231430241431
611022503143451013
7462060220466241
oct60272700653561
912681746736770
103323617040241
1110715a1199953
12458180756a69
131b1553501724
14b6c14867b21
155b6c54994e6
hex305d7035771

3323617040241 has 27 divisors (see below), whose sum is σ = 4960892722617. Its totient is φ = 2144159673480.

The previous prime is 3323617040231. The next prime is 3323617040243. The reversal of 3323617040241 is 1420407163233.

The square root of 3323617040241 is 1823079.

It is a perfect power (a square), and thus also a powerful number.

3323617040241 is a `hidden beast` number, since 3 + 3 + 236 + 17 + 0 + 402 + 4 + 1 = 666.

3323617040241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3323617040241 - 27 = 3323617040113 is a prime.

It is a super-2 number, since 2×33236170402412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323617040196 and 3323617040205.

It is not an unprimeable number, because it can be changed into a prime (3323617040243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169536546 + ... + 169556148.

Almost surely, 23323617040241 is an apocalyptic number.

3323617040241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3323617040241 is the 1823079-th square number.

3323617040241 is the 911540-th centered octagonal number.

It is an amenable number.

3323617040241 is a deficient number, since it is larger than the sum of its proper divisors (1637275682376).

3323617040241 is an frugal number, since it uses more digits than its factorization.

3323617040241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39274 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 3323617040241 by its sum of digits (36), we get a square (119650213448676 = 109384742).

The spelling of 3323617040241 in words is "three trillion, three hundred twenty-three billion, six hundred seventeen million, forty thousand, two hundred forty-one".

Divisors: 1 3 9 31 93 279 961 2883 8649 19603 58809 176427 607693 1823079 5469237 18838483 56515449 169546347 384277609 1152832827 3458498481 11912605879 35737817637 107213452911 369290782249 1107872346747 3323617040241