Search a number
-
+
4141803507712 = 21213714432473
BaseRepresentation
bin111100010001010110101…
…110100001000000000000
3112122221201102000021011021
4330101112232201000000
51020324403144221322
612450415051155224
7605143515636313
oct74212656410000
915587642007137
104141803507712
111357590115852
1256a861745b14
13240755208250
141046702b897a
1572b101c94c7
hex3c456ba1000

4141803507712 has 208 divisors, whose sum is σ = 9069432720768. Its totient is φ = 1879662919680.

The previous prime is 4141803507683. The next prime is 4141803507713. The reversal of 4141803507712 is 2177053081414.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (4141803507713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674808108 + ... + 1674810580.

Almost surely, 24141803507712 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 4141803507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534716360384).

4141803507712 is an abundant number, since it is smaller than the sum of its proper divisors (4927629213056).

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

4141803507712 is a wasteful number, since it uses less digits than its factorization.

4141803507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 4141803507712 in words is "four trillion, one hundred forty-one billion, eight hundred three million, five hundred seven thousand, seven hundred twelve".