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40755222144 = 2733713129589
BaseRepresentation
bin100101111101001100…
…110101011010000000
310220012022010210112000
4211331030311122000
51131431314102034
630420033504000
72641644446430
oct457514653200
9126168123460
1040755222144
111631429567a
127a94a12000
133ac6687c80
141d889dc2c0
1510d7e66599
hex97d335680

40755222144 has 256 divisors, whose sum is σ = 148043616000. Its totient is φ = 10748547072.

The previous prime is 40755222139. The next prime is 40755222149. The reversal of 40755222144 is 44122255704.

40755222144 is a `hidden beast` number, since 4 + 0 + 75 + 522 + 21 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (40755222139) and next prime (40755222149).

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 = 40755222099 and 40755222108.

It is not an unprimeable number, because it can be changed into a prime (40755222149) 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 31 ways as a sum of consecutive naturals, for example, 249702 + ... + 379290.

It is an arithmetic number, because the mean of its divisors is an integer number (578295375).

Almost surely, 240755222144 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 40755222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74021808000).

40755222144 is an abundant number, since it is smaller than the sum of its proper divisors (107288393856).

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

40755222144 is a wasteful number, since it uses less digits than its factorization.

40755222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129632 (or 129614 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 40755222144 its reverse (44122255704), we get a palindrome (84877477848).

The spelling of 40755222144 in words is "forty billion, seven hundred fifty-five million, two hundred twenty-two thousand, one hundred forty-four".