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40144332504252 = 22313125537107191
BaseRepresentation
bin10010010000010110101001…
…01011011011110010111100
312021010202112112222220121010
421020023110223123302330
520230211043110114002
6221214015102435220
711312221661064534
oct1110132453336274
9167122475886533
1040144332504252
1111878130157839
1246042a7892b10
131952795919a32
149cadd32924c4
154993a5e9346c
hex2482d4adbcbc

40144332504252 has 24 divisors (see below), whose sum is σ = 94385148181632. Its totient is φ = 13279295738800.

The previous prime is 40144332504247. The next prime is 40144332504259. The reversal of 40144332504252 is 25240523344104.

40144332504252 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 2×401443325042522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40144332504252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144332504259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12768552024 + ... + 12768555167.

It is an arithmetic number, because the mean of its divisors is an integer number (3932714507568).

Almost surely, 240144332504252 is an apocalyptic number.

It is an amenable number.

40144332504252 is an abundant number, since it is smaller than the sum of its proper divisors (54240815677380).

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

40144332504252 is a wasteful number, since it uses less digits than its factorization.

40144332504252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25537107329 (or 25537107327 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 40144332504252 its reverse (25240523344104), we get a palindrome (65384855848356).

The spelling of 40144332504252 in words is "forty trillion, one hundred forty-four billion, three hundred thirty-two million, five hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 25537107191 51074214382 76611321573 102148428764 153222643146 306445286292 3345361042021 6690722084042 10036083126063 13381444168084 20072166252126 40144332504252