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4390571246161 = 1722342332
BaseRepresentation
bin111111111001000010011…
…100001000001001010001
3120112201211110101202012211
4333321002130020021101
51033413342214334121
613201000043152121
7632131306552642
oct77710234101121
916481743352184
104390571246161
111443038008721
125aab09515641
1325b04bbb8499
1411270d19d6c9
157931ec33ce1
hex3fe42708251

4390571246161 has 45 divisors (see below), whose sum is σ = 4897050144721. Its totient is φ = 3935672922368.

The previous prime is 4390571246129. The next prime is 4390571246179. The reversal of 4390571246161 is 1616421750934.

The square root of 4390571246161 is 2095369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2216620561 + 4388354625600 = 47081^2 + 2094840^2 .

It is not a de Polignac number, because 4390571246161 - 25 = 4390571246129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4390571246561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18843653301 + ... + 18843653533.

Almost surely, 24390571246161 is an apocalyptic number.

4390571246161 is the 2095369-th square number.

4390571246161 is the 1047685-th centered octagonal number.

It is an amenable number.

4390571246161 is a deficient number, since it is larger than the sum of its proper divisors (506478898560).

4390571246161 is an frugal number, since it uses more digits than its factorization.

4390571246161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 4390571246161 by its sum of digits (49), we get a square (215137991061889 = 146675832).

The spelling of 4390571246161 in words is "four trillion, three hundred ninety billion, five hundred seventy-one million, two hundred forty-six thousand, one hundred sixty-one".

Divisors: 1 17 23 233 289 391 529 3961 5359 6647 8993 12167 54289 67337 91103 123257 152881 206839 279841 922913 1248647 1548751 2095369 2834911 3516263 4757297 15689521 21226999 28718881 35621273 48193487 65202953 80874049 360858983 488220977 660534263 819289279 1108450201 8299756609 11229082471 15192288049 18843653417 190894402007 258268896833 4390571246161