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40120443252 = 22324333137823
BaseRepresentation
bin100101010111010111…
…010110000101110100
310211120001200200120200
4211113113112011310
51124131313141002
630233040200500
72620136066211
oct452727260564
9124501620520
1040120443252
1116018a4291a
127938309130
133a25003166
141d285a0b08
15109c378b1c
hex9575d6174

40120443252 has 72 divisors (see below), whose sum is σ = 103818658944. Its totient is φ = 13056857856.

The previous prime is 40120443239. The next prime is 40120443299. The reversal of 40120443252 is 25234402104.

40120443252 is a `hidden beast` number, since 401 + 2 + 0 + 4 + 4 + 3 + 252 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5124613 + ... + 5132435.

Almost surely, 240120443252 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 40120443252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51909329472).

40120443252 is an abundant number, since it is smaller than the sum of its proper divisors (63698215692).

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

40120443252 is a wasteful number, since it uses less digits than its factorization.

40120443252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40120443252 its reverse (25234402104), we get a palindrome (65354845356).

The spelling of 40120443252 in words is "forty billion, one hundred twenty million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 3313 6626 7823 9939 13252 15646 19878 23469 29817 31292 39756 46938 59634 70407 93876 119268 140814 142459 281628 284918 336389 427377 569836 672778 854754 1009167 1282131 1345556 1709508 2018334 2564262 3027501 4036668 5128524 6055002 12110004 25917599 51835198 77752797 103670396 155505594 233258391 311011188 466516782 933033564 1114456757 2228913514 3343370271 4457827028 6686740542 10030110813 13373481084 20060221626 40120443252