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4141307383480 = 23523531093732089
BaseRepresentation
bin111100010000111001001…
…001111100111010111000
3112122220102211110112122201
4330100321021330322320
51020322344142232410
612450253525355544
7605125312644061
oct74207111747270
915586384415581
104141307383480
111357356066323
1256a743568bb4
132406a64ac307
14104624451568
1572ad187983a
hex3c43927ceb8

4141307383480 has 256 divisors, whose sum is σ = 10029010464000. Its totient is φ = 1535476580352.

The previous prime is 4141307383469. The next prime is 4141307383487. The reversal of 4141307383480 is 843837031414.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 4141307383480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141307383487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1982434276 + ... + 1982436364.

It is an arithmetic number, because the mean of its divisors is an integer number (39175822125).

Almost surely, 24141307383480 is an apocalyptic number.

4141307383480 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 4141307383480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014505232000).

4141307383480 is an abundant number, since it is smaller than the sum of its proper divisors (5887703080520).

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

4141307383480 is a wasteful number, since it uses less digits than its factorization.

4141307383480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 4141307383480 in words is "four trillion, one hundred forty-one billion, three hundred seven million, three hundred eighty-three thousand, four hundred eighty".