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40834927224 = 23357131912149
BaseRepresentation
bin100110000001111100…
…111000101001111000
310220101212010020100000
4212001330320221320
51132112220132344
630432002113000
72643633103650
oct460174705170
9126355106300
1040834927224
1116355285243
127ab764b760
133b0a044040
141d95429360
1510dee5ca69
hex981f38a78

40834927224 has 384 divisors, whose sum is σ = 148599360000. Its totient is φ = 10201987584.

The previous prime is 40834927213. The next prime is 40834927241. The reversal of 40834927224 is 42272943804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40834927224.

It is a congruent number.

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, 3355102 + ... + 3367250.

It is an arithmetic number, because the mean of its divisors is an integer number (386977500).

Almost surely, 240834927224 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 40834927224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680000).

40834927224 is an abundant number, since it is smaller than the sum of its proper divisors (107764432776).

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

40834927224 is a wasteful number, since it uses less digits than its factorization.

40834927224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 40834927224 in words is "forty billion, eight hundred thirty-four million, nine hundred twenty-seven thousand, two hundred twenty-four".