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41239222272 = 2113223891093
BaseRepresentation
bin100110011010000011…
…001001100000000000
310221110000212112212200
4212122003021200000
51133424220103042
630540043353200
72656642414503
oct463203114000
9127400775780
1041239222272
1116542514086
127baab22800
133b72a2a591
141dd2dcb13a
1511156bdc4c
hex99a0c9800

41239222272 has 288 divisors, whose sum is σ = 125796434400. Its totient is φ = 12989104128.

The previous prime is 41239222259. The next prime is 41239222309. The reversal of 41239222272 is 27222293214.

41239222272 is a `hidden beast` number, since 41 + 2 + 392 + 2 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37729758 + ... + 37730850.

It is an arithmetic number, because the mean of its divisors is an integer number (436793175).

Almost surely, 241239222272 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 41239222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62898217200).

41239222272 is an abundant number, since it is smaller than the sum of its proper divisors (84557212128).

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

41239222272 is a wasteful number, since it uses less digits than its factorization.

41239222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1210 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 41239222272 in words is "forty-one billion, two hundred thirty-nine million, two hundred twenty-two thousand, two hundred seventy-two".