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40383053538660 = 22335729916140213
BaseRepresentation
bin10010010111010011010011…
…00011111010010101100100
312021222120201102201221122000
421023221221203322111210
520243113443201214120
6221515415123005300
711335402466306640
oct1113515143722544
9167876642657560
1040383053538660
111195a3a1a36218
12464260ab09830
13196c14b039691
149d879bb37c20
154a06c89b6990
hex24ba698fa564

40383053538660 has 384 divisors, whose sum is σ = 148555277337600. Its totient is φ = 8910927728640.

The previous prime is 40383053538643. The next prime is 40383053538671. The reversal of 40383053538660 is 6683535038304.

It is a happy number.

40383053538660 is a `hidden beast` number, since 40 + 3 + 8 + 3 + 0 + 5 + 3 + 538 + 6 + 60 = 666.

40383053538660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403830535386602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40383053538597 and 40383053538606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1004208714 + ... + 1004248926.

It is an arithmetic number, because the mean of its divisors is an integer number (386862701400).

Almost surely, 240383053538660 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 40383053538660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74277638668800).

40383053538660 is an abundant number, since it is smaller than the sum of its proper divisors (108172223798940).

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

40383053538660 is a wasteful number, since it uses less digits than its factorization.

40383053538660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49428 (or 49420 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 40383053538660 in words is "forty trillion, three hundred eighty-three billion, fifty-three million, five hundred thirty-eight thousand, six hundred sixty".