Search a number
-
+
3146111328360 = 233572111371151349
BaseRepresentation
bin101101110010000010110…
…110010010000001101000
3102010202122220111210200010
4231302002312102001220
5403021214000001420
610405145324211520
7443204400025200
oct55620266220150
912122586453603
103146111328360
11100329290a310
124298a2399ba0
1319a8a5569810
14ac3b6033400
1556c86c3e4e0
hex2dc82d92068

3146111328360 has 1536 divisors, whose sum is σ = 13204767744000. Its totient is φ = 589317120000.

The previous prime is 3146111328313. The next prime is 3146111328397. The reversal of 3146111328360 is 638231116413.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 383 ways as a sum of consecutive naturals, for example, 9014645466 + ... + 9014645814.

It is an arithmetic number, because the mean of its divisors is an integer number (8596854000).

Almost surely, 23146111328360 is an apocalyptic number.

3146111328360 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 3146111328360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602383872000).

3146111328360 is an abundant number, since it is smaller than the sum of its proper divisors (10058656415640).

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

3146111328360 is a wasteful number, since it uses less digits than its factorization.

3146111328360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 3146111328360 in words is "three trillion, one hundred forty-six billion, one hundred eleven million, three hundred twenty-eight thousand, three hundred sixty".