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40141440 = 2733523101
BaseRepresentation
bin1001100100100…
…0001010000000
32210112101201000
42121020022000
540234011230
63552212000
7665124303
oct231101200
983471630
1040141440
1120727949
121153a000
138416041
14548cb3a
1537cdb60
hex2648280

40141440 has 256 divisors, whose sum is σ = 149817600. Its totient is φ = 10137600.

The previous prime is 40141429. The next prime is 40141441. The reversal of 40141440 is 4414104.

It is a super-2 number, since 2×401414402 = 3222670410547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397390 + ... + 397490.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 240141440 is an apocalyptic number.

40141440 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 40141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

40141440 is an abundant number, since it is smaller than the sum of its proper divisors (109676160).

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

40141440 is a wasteful number, since it uses less digits than its factorization.

40141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40141440 is about 6335.7272668574. The cubic root of 40141440 is about 342.3978134778.

Adding to 40141440 its reverse (4414104), we get a palindrome (44555544).

The spelling of 40141440 in words is "forty million, one hundred forty-one thousand, four hundred forty".