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3133043441 = 1121711531321
BaseRepresentation
bin1011101010111110…
…0111001011110001
322002100101002121222
42322233213023301
522404024342231
61234515554425
7140432300303
oct27257471361
98070332558
103133043441
111368580a00
127352bba15
133ac127378
1421a159973
151350c427b
hexbabe72f1

3133043441 has 24 divisors (see below), whose sum is σ = 3652257672. Its totient is φ = 2676326400.

The previous prime is 3133043423. The next prime is 3133043461. The reversal of 3133043441 is 1443403313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2072889841 + 1060153600 = 45529^2 + 32560^2 .

It is not a de Polignac number, because 3133043441 - 26 = 3133043377 is a prime.

It is a super-2 number, since 2×31330434412 = 19631922406386240962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133043441.

It is not an unprimeable number, because it can be changed into a prime (3133043461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2371061 + ... + 2372381.

It is an arithmetic number, because the mean of its divisors is an integer number (152177403).

Almost surely, 23133043441 is an apocalyptic number.

It is an amenable number.

3133043441 is a deficient number, since it is larger than the sum of its proper divisors (519214231).

3133043441 is a wasteful number, since it uses less digits than its factorization.

3133043441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3133043441 is about 55973.5959270083. The cubic root of 3133043441 is about 1463.2621498690.

Adding to 3133043441 its reverse (1443403313), we get a palindrome (4576446754).

The spelling of 3133043441 in words is "three billion, one hundred thirty-three million, forty-three thousand, four hundred forty-one".

Divisors: 1 11 17 121 187 1153 1321 2057 12683 14531 19601 22457 139513 159841 215611 247027 1523113 2371721 2717297 16754243 25892921 184296673 284822131 3133043441