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3131440004 = 2271154118793
BaseRepresentation
bin1011101010100101…
…1111101110000100
322002020100122010102
42322221133232010
522403122040004
61234421343232
7140412541460
oct27251375604
98066318112
103131440004
111367686250
12734867b18
133ab9b55a4
14219c5d4a0
15134da911e
hexbaa5fb84

3131440004 has 48 divisors (see below), whose sum is σ = 6845225856. Its totient is φ = 1217721600.

The previous prime is 3131439977. The next prime is 3131440009. The reversal of 3131440004 is 4000441313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3131440009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157232 + ... + 176024.

It is an arithmetic number, because the mean of its divisors is an integer number (142608872).

Almost surely, 23131440004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422612928).

3131440004 is an abundant number, since it is smaller than the sum of its proper divisors (3713785852).

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

3131440004 is a wasteful number, since it uses less digits than its factorization.

3131440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19356 (or 19354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3131440004 is about 55959.2709387819. The cubic root of 3131440004 is about 1463.0124832550.

Adding to 3131440004 its reverse (4000441313), we get a palindrome (7131881317).

The spelling of 3131440004 in words is "three billion, one hundred thirty-one million, four hundred forty thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 541 1082 2164 3787 5951 7574 11902 15148 18793 23804 37586 41657 75172 83314 131551 166628 206723 263102 413446 526204 826892 1447061 2894122 5788244 10167013 20334026 40668052 71169091 111837143 142338182 223674286 284676364 447348572 782860001 1565720002 3131440004