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3141002441000 = 2353295371107269
BaseRepresentation
bin101101101101010010010…
…101011011000100101000
3102010021110212020102201202
4231231102111123010220
5402430233111103000
610402542343103332
7442633653141644
oct55552225330450
912107425212652
103141002441000
111001100aa0656
124288b7441b48
1319a26cca5148
14ac04d709c24
1556a88479dd5
hex2db5255b128

3141002441000 has 512 divisors, whose sum is σ = 7958860416000. Its totient is φ = 1158137344000.

The previous prime is 3141002440981. The next prime is 3141002441009. The reversal of 3141002441000 is 1442001413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3141002441009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11676588866 + ... + 11676589134.

It is an arithmetic number, because the mean of its divisors is an integer number (15544649250).

Almost surely, 23141002441000 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 3141002441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979430208000).

3141002441000 is an abundant number, since it is smaller than the sum of its proper divisors (4817857975000).

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

3141002441000 is a wasteful number, since it uses less digits than its factorization.

3141002441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3141002441000 its reverse (1442001413), we get a palindrome (3142444442413).

The spelling of 3141002441000 in words is "three trillion, one hundred forty-one billion, two million, four hundred forty-one thousand".