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4034333359225 = 5213423772
BaseRepresentation
bin111010101101010001000…
…000011011110001111001
3112021200022121222001122101
4322231101000123301321
51012044303314443400
612325202553023401
7564320353514251
oct72552100336171
915250277861571
104034333359225
111315a51008614
12551a6a0b4b61
13233588b90000
14dd3970b6961
156ee2025756a
hex3ab5101bc79

4034333359225 has 45 divisors (see below), whose sum is σ = 5421720791697. Its totient is φ = 2977946674560.

The previous prime is 4034333359207. The next prime is 4034333359237. The reversal of 4034333359225 is 5229533334304.

The square root of 4034333359225 is 2008565.

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

4034333359225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 1075259080809 + 2959074278416 = 1036947^2 + 1720196^2 .

It is not a de Polignac number, because 4034333359225 - 225 = 4034299804793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1697236237 + ... + 1697238613.

Almost surely, 24034333359225 is an apocalyptic number.

4034333359225 is the 2008565-th square number.

4034333359225 is the 1004283-rd centered octagonal number.

It is an amenable number.

4034333359225 is a deficient number, since it is larger than the sum of its proper divisors (1387387432472).

4034333359225 is an frugal number, since it uses more digits than its factorization.

4034333359225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 46.

The spelling of 4034333359225 in words is "four trillion, thirty-four billion, three hundred thirty-three million, three hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2197 2377 4225 10985 11885 28561 30901 54925 59425 142805 154505 401713 714025 772525 2008565 5222269 5650129 10042825 26111345 28250645 67889497 73451677 130556725 141253225 339447485 367258385 954871801 1697237425 1836291925 4774359005 12413333413 23871795025 62066667065 161373334369 310333335325 806866671845 4034333359225