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41232081000 = 23353112971171
BaseRepresentation
bin100110011001100111…
…111010000001101000
310221102112102201220010
4212121213322001220
51133420403043000
630535230331520
72656524622455
oct463147720150
9127375381803
1041232081000
1116539486800
127ba8659ba0
133b713c9c86
141dd208c82c
151114c5cd50
hex9999fa068

41232081000 has 384 divisors, whose sum is σ = 142981937280. Its totient is φ = 9884160000.

The previous prime is 41232080947. The next prime is 41232081017. The reversal of 41232081000 is 18023214.

It is a super-2 number, since 2×412320810002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35210415 + ... + 35211585.

It is an arithmetic number, because the mean of its divisors is an integer number (372348795).

Almost surely, 241232081000 is an apocalyptic number.

41232081000 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 41232081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71490968640).

41232081000 is an abundant number, since it is smaller than the sum of its proper divisors (101749856280).

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

41232081000 is a wasteful number, since it uses less digits than its factorization.

41232081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 41232081000 in words is "forty-one billion, two hundred thirty-two million, eighty-one thousand".