Search a number
-
+
41141540000 = 255411434349
BaseRepresentation
bin100110010100001110…
…100001010010100000
310221012020001202222202
4212110032201102200
51133224213240000
630522233552332
72654345214521
oct462416412240
9127166052882
1041141540000
11164a2365a30
127b822756a8
133b58718a12
141dc4040848
15110bd25dd5
hex9943a14a0

41141540000 has 240 divisors, whose sum is σ = 113009450400. Its totient is φ = 14609280000.

The previous prime is 41141539987. The next prime is 41141540023. The reversal of 41141540000 is 4514114.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9457826 + ... + 9462174.

It is an arithmetic number, because the mean of its divisors is an integer number (470872710).

Almost surely, 241141540000 is an apocalyptic number.

41141540000 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 41141540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504725200).

41141540000 is an abundant number, since it is smaller than the sum of its proper divisors (71867910400).

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

41141540000 is a wasteful number, since it uses less digits than its factorization.

41141540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 41141540000 in words is "forty-one billion, one hundred forty-one million, five hundred forty thousand".