Search a number
-
+
3104441303040 = 216345731131
BaseRepresentation
bin101101001011001111000…
…111110000000000000000
3101222210002212000012010000
4231023033013300000000
5401330343433144130
610334054411040000
7440200643454000
oct55131707600000
911883085005100
103104441303040
11a9764a201560
124217b3140000
131969945042bc
14aa381b44000
1555b48825260
hex2d2cf1f0000

3104441303040 has 2720 divisors, whose sum is σ = 14616199065600. Its totient is φ = 624269721600.

The previous prime is 3104441303027. The next prime is 3104441303053. The reversal of 3104441303040 is 403031444013.

3104441303040 is a `hidden beast` number, since 310 + 4 + 4 + 4 + 1 + 303 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3104441303027) and next prime (3104441303053).

It is a super-2 number, since 2×31044413030402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3104441302995 and 3104441303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 100143267825 + ... + 100143267855.

Almost surely, 23104441303040 is an apocalyptic number.

3104441303040 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 3104441303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308099532800).

3104441303040 is an abundant number, since it is smaller than the sum of its proper divisors (11511757762560).

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

3104441303040 is an frugal number, since it uses more digits than its factorization.

3104441303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3104441303040 its reverse (403031444013), we get a palindrome (3507472747053).

The spelling of 3104441303040 in words is "three trillion, one hundred four billion, four hundred forty-one million, three hundred three thousand, forty".