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40424223528 = 233413192379139
BaseRepresentation
bin100101101001011110…
…001011001100101000
310212100020022022210000
4211221132023030220
51130242100123103
630323131223000
72630515142043
oct455136131450
9125306268700
1040424223528
11161644694a7
127a01ba7a60
133a72c257c0
141d56a79c5a
1510b8d82aa3
hex96978b328

40424223528 has 640 divisors, whose sum is σ = 136604160000. Its totient is φ = 11048514048.

The previous prime is 40424223527. The next prime is 40424223533. The reversal of 40424223528 is 82532242404.

40424223528 is a `hidden beast` number, since 4 + 0 + 424 + 223 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40424223492 and 40424223501.

It is not an unprimeable number, because it can be changed into a prime (40424223527) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 290821683 + ... + 290821821.

It is an arithmetic number, because the mean of its divisors is an integer number (213444000).

Almost surely, 240424223528 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 40424223528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080000).

40424223528 is an abundant number, since it is smaller than the sum of its proper divisors (96179936472).

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

40424223528 is a wasteful number, since it uses less digits than its factorization.

40424223528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 40424223528 in words is "forty billion, four hundred twenty-four million, two hundred twenty-three thousand, five hundred twenty-eight".