Search a number
-
+
3145753195200 = 263552721117883
BaseRepresentation
bin101101110001101101100…
…000000111001011000000
3102010201201221121202100000
4231301231200013023000
5403020000304221300
610405050012200000
7443162460655200
oct55615540071300
912121657552300
103145753195200
11100311973a5a0
12429802469000
1319a8492c66c5
14ac38064a400
1556c6559ac00
hex2dc6d8072c0

3145753195200 has 3024 divisors, whose sum is σ = 15597236962944. Its totient is φ = 614515507200.

The previous prime is 3145753195177. The next prime is 3145753195223. The reversal of 3145753195200 is 25913575413.

3145753195200 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 7 + 531 + 95 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3145753195177) and next prime (3145753195223).

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×31457531952002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3562573959 + ... + 3562574841.

It is an arithmetic number, because the mean of its divisors is an integer number (5157816456).

Almost surely, 23145753195200 is an apocalyptic number.

3145753195200 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 3145753195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798618481472).

3145753195200 is an abundant number, since it is smaller than the sum of its proper divisors (12451483767744).

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

3145753195200 is a wasteful number, since it uses less digits than its factorization.

3145753195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 3145753195200 in words is "three trillion, one hundred forty-five billion, seven hundred fifty-three million, one hundred ninety-five thousand, two hundred".