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4131101400000 = 2635514814649
BaseRepresentation
bin111100000111011000110…
…101001101101111000000
3112121221002120002212022120
4330013120311031233000
51020140443424300000
612441445104004240
7604314354344151
oct74073065155700
915557076085276
104131101400000
111352a99051933
12568775600680
1323c73ac21233
14103d36bcd928
15726d587e6a0
hex3c1d8d4dbc0

4131101400000 has 336 divisors, whose sum is σ = 13674048242400. Its totient is φ = 1100646400000.

The previous prime is 4131101399989. The next prime is 4131101400059. The reversal of 4131101400000 is 41011314.

4131101400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888597676 + ... + 888602324.

It is an arithmetic number, because the mean of its divisors is an integer number (40696572150).

Almost surely, 24131101400000 is an apocalyptic number.

4131101400000 is a gapful number since it is divisible by the number (40) 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 4131101400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837024121200).

4131101400000 is an abundant number, since it is smaller than the sum of its proper divisors (9542946842400).

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

4131101400000 is an equidigital number, since it uses as much as digits as its factorization.

4131101400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 4131101400000 its reverse (41011314), we get a palindrome (4131142411314).

The spelling of 4131101400000 in words is "four trillion, one hundred thirty-one billion, one hundred one million, four hundred thousand".