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40331234323440 = 2432556015603227
BaseRepresentation
bin10010010101110010110001…
…11001010010101111110000
312021210121222001202001212200
421022321120321102233300
520241241331441322230
6221435525133223200
711331556404246504
oct1112713071225760
9167717861661780
1040331234323440
111193a420384915
124634568931b00
1319672b040c758
149d608396c304
1549e194570160
hex24ae58e52bf0

40331234323440 has 60 divisors (see below), whose sum is σ = 135445728605304. Its totient is φ = 10754995819392.

The previous prime is 40331234323423. The next prime is 40331234323511. The reversal of 40331234323440 is 4432343213304.

40331234323440 is a `hidden beast` number, since 4 + 0 + 33 + 12 + 343 + 234 + 40 = 666.

40331234323440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40331234323395 and 40331234323404.

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 11 ways as a sum of consecutive naturals, for example, 28007800894 + ... + 28007802333.

Almost surely, 240331234323440 is an apocalyptic number.

40331234323440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40331234323440 is an abundant number, since it is smaller than the sum of its proper divisors (95114494281864).

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

40331234323440 is a wasteful number, since it uses less digits than its factorization.

40331234323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56015603246 (or 56015603237 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 40331234323440 its reverse (4432343213304), we get a palindrome (44763577536744).

The spelling of 40331234323440 in words is "forty trillion, three hundred thirty-one billion, two hundred thirty-four million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56015603227 112031206454 168046809681 224062412908 280078016135 336093619362 448124825816 504140429043 560156032270 672187238724 840234048405 896249651632 1008280858086 1120312064540 1344374477448 1680468096810 2016561716172 2240624129080 2520702145215 2688748954896 3360936193620 4033123432344 4481248258160 5041404290430 6721872387240 8066246864688 10082808580860 13443744774480 20165617161720 40331234323440