Search a number
-
+
3071446164540 = 223251322333171367
BaseRepresentation
bin101100101100100000011…
…101010010010000111100
3101212121221100211111010100
4230230200131102100330
5400310310204231130
610311000342441100
7434622204430635
oct54544035222074
911777840744110
103071446164540
11a84658318656
12417325133190
1319383676a700
14a89319da88c
1554d66cb7c60
hex2cb2075243c

3071446164540 has 432 divisors, whose sum is σ = 10171214359488. Its totient is φ = 749879709696.

The previous prime is 3071446164499. The next prime is 3071446164541. The reversal of 3071446164540 is 454616441703.

3071446164540 is a `hidden beast` number, since 3 + 0 + 7 + 1 + 4 + 46 + 1 + 64 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3071446164541) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2246850937 + ... + 2246852303.

It is an arithmetic number, because the mean of its divisors is an integer number (23544477684).

Almost surely, 23071446164540 is an apocalyptic number.

3071446164540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3071446164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085607179744).

3071446164540 is an abundant number, since it is smaller than the sum of its proper divisors (7099768194948).

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

3071446164540 is a wasteful number, since it uses less digits than its factorization.

3071446164540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3071446164540 in words is "three trillion, seventy-one billion, four hundred forty-six million, one hundred sixty-four thousand, five hundred forty".