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40483921133568 = 216311217100103
BaseRepresentation
bin10010011010001111001011…
…01111010000000000000000
312022100020002001220200100110
421031013211233100000000
520301242032302233233
6222034020121351320
711345603206600443
oct1115074557200000
9168306061820313
1040483921133568
1111999153080200
12465a07b338540
131978804507b93
149dd60a0bb65a
154a312de7b663
hex24d1e5bd0000

40483921133568 has 408 divisors, whose sum is σ = 125644123733184. Its totient is φ = 11546101022720.

The previous prime is 40483921133561. The next prime is 40483921133597. The reversal of 40483921133568 is 86533112938404.

It is a tau number, because it is divible by the number of its divisors (408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40483921133561) 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 23 ways as a sum of consecutive naturals, for example, 404372605 + ... + 404472707.

Almost surely, 240483921133568 is an apocalyptic number.

40483921133568 is a gapful number since it is divisible by the number (48) 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 40483921133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62822061866592).

40483921133568 is an abundant number, since it is smaller than the sum of its proper divisors (85160202599616).

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

40483921133568 is a wasteful number, since it uses less digits than its factorization.

40483921133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100177 (or 100136 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 40483921133568 in words is "forty trillion, four hundred eighty-three billion, nine hundred twenty-one million, one hundred thirty-three thousand, five hundred sixty-eight".