Search a number
-
+
3133411314 = 2311291679803
BaseRepresentation
bin1011101011000100…
…0000111111110010
322002101001210020220
42322301000333302
522404123130224
61234531513510
7140435361645
oct27261007762
98071053226
103133411314
111368802330
12735458896
133ac225947
1421a213a5c
15135148279
hexbac40ff2

3133411314 has 64 divisors (see below), whose sum is σ = 7115351040. Its totient is φ = 911193920.

The previous prime is 3133411297. The next prime is 3133411327. The reversal of 3133411314 is 4131143313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314737 + ... + 324539.

It is an arithmetic number, because the mean of its divisors is an integer number (111177360).

Almost surely, 23133411314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133411314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557675520).

3133411314 is an abundant number, since it is smaller than the sum of its proper divisors (3981939726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133411314 is a wasteful number, since it uses less digits than its factorization.

3133411314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015.

The product of its digits is 1296, while the sum is 24.

The square root of 3133411314 is about 55976.8819603236. The cubic root of 3133411314 is about 1463.3194183131.

Adding to 3133411314 its reverse (4131143313), we get a palindrome (7264554627).

The spelling of 3133411314 in words is "three billion, one hundred thirty-three million, four hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 167 174 319 334 501 638 957 1002 1837 1914 3674 4843 5511 9686 9803 11022 14529 19606 29058 29409 53273 58818 106546 107833 159819 215666 284287 319638 323499 568574 646998 852861 1637101 1705722 3127157 3274202 4911303 6254314 9381471 9822606 18008111 18762942 36016222 47475929 54024333 94951858 108048666 142427787 284855574 522235219 1044470438 1566705657 3133411314