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40141344 = 2532571627
BaseRepresentation
bin1001100100100…
…0001000100000
32210112101120110
42121020020200
540234010334
63552211320
7665124105
oct231101040
983471513
1040141344
1120727871
1211539b40
138415c99
14548caac
1537cdae9
hex2648220

40141344 has 48 divisors (see below), whose sum is σ = 105846048. Its totient is φ = 13320192.

The previous prime is 40141331. The next prime is 40141351. The reversal of 40141344 is 44314104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401413442 = 3222654996252672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40141344.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23859 + ... + 25485.

It is an arithmetic number, because the mean of its divisors is an integer number (2205126).

Almost surely, 240141344 is an apocalyptic number.

It is an amenable number.

40141344 is an abundant number, since it is smaller than the sum of its proper divisors (65704704).

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

40141344 is a wasteful number, since it uses less digits than its factorization.

40141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40141344 is about 6335.7196907692. The cubic root of 40141344 is about 342.3975405244.

Adding to 40141344 its reverse (44314104), we get a palindrome (84455448).

The spelling of 40141344 in words is "forty million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 1627 2056 3084 3254 4112 4881 6168 6508 8224 9762 12336 13016 19524 24672 26032 39048 52064 78096 156192 418139 836278 1254417 1672556 2508834 3345112 5017668 6690224 10035336 13380448 20070672 40141344