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3034224442431 = 3371312311003193
BaseRepresentation
bin101100001001110101110…
…111101011110000111111
3101202001212022121002102000
4230021311313223300333
5344203042424124211
610241523052033343
7432133624134450
oct54116567536077
911661768532360
103034224442431
11a6a897660946
12410077762853
1319018417b180
14a6c003db127
1553dd9179656
hex2c275debc3f

3034224442431 has 64 divisors (see below), whose sum is σ = 5536988835840. Its totient is φ = 1599168303360.

The previous prime is 3034224442429. The next prime is 3034224442433. The reversal of 3034224442431 is 1342444224303.

3034224442431 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 224 + 4 + 424 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3034224442429) and next prime (3034224442433).

It is not a de Polignac number, because 3034224442431 - 21 = 3034224442429 is a prime.

It is a super-2 number, since 2×30342244424312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034224442433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2522971 + ... + 3526163.

It is an arithmetic number, because the mean of its divisors is an integer number (86515450560).

Almost surely, 23034224442431 is an apocalyptic number.

3034224442431 is a deficient number, since it is larger than the sum of its proper divisors (2502764393409).

3034224442431 is a wasteful number, since it uses less digits than its factorization.

3034224442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004453 (or 1004447 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3034224442431 its reverse (1342444224303), we get a palindrome (4376668666734).

The spelling of 3034224442431 in words is "three trillion, thirty-four billion, two hundred twenty-four million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 1231 2457 3693 8617 11079 16003 25851 33237 48009 77553 112021 144027 232659 336063 432081 1003193 1008189 3009579 3024567 7022351 9028737 13041509 21067053 27086211 39124527 63201159 91290563 117373581 189603477 273871689 352120743 821615067 1234930583 2464845201 3704791749 8644514081 11114375247 16054097579 25933542243 33343125741 48162292737 77800626729 112378683053 144486878211 233401880187 337136049159 433460634633 1011408147477 3034224442431