Search a number
-
+
41231441000 = 235382150221
BaseRepresentation
bin100110011001100101…
…011101110001101000
310221102111020012222102
4212121211131301220
51133420222103000
630535204512532
72656516315541
oct463145356150
9127374205872
1041231441000
1116539089982
127ba83ab748
133b71234889
141dd1d634c8
151114b833d5
hex99995dc68

41231441000 has 64 divisors (see below), whose sum is σ = 96601012560. Its totient is φ = 16472160000.

The previous prime is 41231440969. The next prime is 41231441021. The reversal of 41231441000 is 14413214.

41231441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 768509284 + 40462931716 = 27722^2 + 201154^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795890 + ... + 846110.

Almost surely, 241231441000 is an apocalyptic number.

41231441000 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 41231441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48300506280).

41231441000 is an abundant number, since it is smaller than the sum of its proper divisors (55369571560).

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

41231441000 is a wasteful number, since it uses less digits than its factorization.

41231441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51063 (or 51049 counting only the distinct ones).

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

Adding to 41231441000 its reverse (14413214), we get a palindrome (41245854214).

The spelling of 41231441000 in words is "forty-one billion, two hundred thirty-one million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 821 1000 1642 3284 4105 6568 8210 16420 20525 32840 41050 50221 82100 100442 102625 164200 200884 205250 251105 401768 410500 502210 821000 1004420 1255525 2008840 2511050 5022100 6277625 10044200 12555250 25110500 41231441 50221000 82462882 164925764 206157205 329851528 412314410 824628820 1030786025 1649257640 2061572050 4123144100 5153930125 8246288200 10307860250 20615720500 41231441000