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40324311342304 = 2511210414336607
BaseRepresentation
bin10010010101100101111000…
…10000001101110011100000
312021202222002120221012002221
421022302330100031303200
520241133142200423204
6221432422145520424
711331223012006153
oct1112627420156340
9167688076835087
1040324311342304
1111937498555700
124633156343114
131966749062002
149d59c833dc9a
1549dddb8bb654
hex24acbc40dce0

40324311342304 has 36 divisors (see below), whose sum is σ = 87261726438432. Its totient is φ = 18329232426560.

The previous prime is 40324311342251. The next prime is 40324311342377.

40324311342304 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 40324311342304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5207164432 + ... + 5207172175.

It is an arithmetic number, because the mean of its divisors is an integer number (2423936845512).

Almost surely, 240324311342304 is an apocalyptic number.

40324311342304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40324311342304 is an abundant number, since it is smaller than the sum of its proper divisors (46937415096128).

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

40324311342304 is a wasteful number, since it uses less digits than its factorization.

40324311342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414336639 (or 10414336620 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4032431 and 1342304, that added together give a palindrome (5374735).

The spelling of 40324311342304 in words is "forty trillion, three hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 10414336607 20828673214 41657346428 83314692856 114557702677 166629385712 229115405354 333258771424 458230810708 916461621416 1260134729447 1832923242832 2520269458894 3665846485664 5040538917788 10081077835576 20162155671152 40324311342304