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40434344431224 = 2332297357049569
BaseRepresentation
bin10010011000110010110101…
…01111001000111001111000
312022011111002222121020221120
421030121122233020321320
520244434014133244344
6221555140440505240
711342166514561602
oct1114313257107170
9168144088536846
1040434344431224
111197a122345a27
12465054417b220
131973c33375b53
149db065a98172
154a1bcb84d219
hex24c65abc8e78

40434344431224 has 32 divisors (see below), whose sum is σ = 101527284066000. Its totient is φ = 13419258412032.

The previous prime is 40434344431211. The next prime is 40434344431237. The reversal of 40434344431224 is 42213444343404.

40434344431224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40434344431211) and next prime (40434344431237).

It is a super-2 number, since 2×404343444312242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3678519289 + ... + 3678530280.

Almost surely, 240434344431224 is an apocalyptic number.

It is an amenable number.

40434344431224 is an abundant number, since it is smaller than the sum of its proper divisors (61092939634776).

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

40434344431224 is a wasteful number, since it uses less digits than its factorization.

40434344431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357049807 (or 7357049803 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 40434344431224 its reverse (42213444343404), we get a palindrome (82647788774628).

The spelling of 40434344431224 in words is "forty trillion, four hundred thirty-four billion, three hundred forty-four million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 229 458 687 916 1374 1832 2748 5496 7357049569 14714099138 22071148707 29428198276 44142297414 58856396552 88284594828 176569189656 1684764351301 3369528702602 5054293053903 6739057405204 10108586107806 13478114810408 20217172215612 40434344431224