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40143013344 = 2533719349337
BaseRepresentation
bin100101011000101101…
…011100010111100000
310211121122011100221000
4211120231130113200
51124203102411334
630235204032000
72620531661220
oct453055342740
9124548140830
1040143013344
111602a759095
127943992600
133a298a6345
141d2b598080
15109e336299
hex958b5c5e0

40143013344 has 192 divisors, whose sum is σ = 140853081600. Its totient is φ = 10865746944.

The previous prime is 40143013333. The next prime is 40143013357. The reversal of 40143013344 is 44331034104.

40143013344 is a `hidden beast` number, since 4 + 0 + 14 + 301 + 3 + 344 = 666.

It is a super-2 number, since 2×401430133442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59757 + ... + 289580.

It is an arithmetic number, because the mean of its divisors is an integer number (733609800).

Almost surely, 240143013344 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 40143013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70426540800).

40143013344 is an abundant number, since it is smaller than the sum of its proper divisors (100710068256).

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

40143013344 is a wasteful number, since it uses less digits than its factorization.

40143013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349382 (or 349368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40143013344 its reverse (44331034104), we get a palindrome (84474047448).

The spelling of 40143013344 in words is "forty billion, one hundred forty-three million, thirteen thousand, three hundred forty-four".