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40574731107144 = 23313277469484531
BaseRepresentation
bin10010011100111000010100…
…11011110011101101001000
312022122220110202220022100010
421032130022123303231020
520304234022130412034
6222143435114311520
711355266442620133
oct1116341233635510
9168586422808303
1040574731107144
1111a23712a24443
1246737a34285a0
131984247092860
14a03b827bd21a
154a56964a03e9
hex24e70a6f3b48

40574731107144 has 64 divisors (see below), whose sum is σ = 109634027912640. Its totient is φ = 12439462106880.

The previous prime is 40574731107137. The next prime is 40574731107151. The reversal of 40574731107144 is 44170113747504.

40574731107144 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 (40574731107137) and next prime (40574731107151).

It is a junction number, because it is equal to n+sod(n) for n = 40574731107093 and 40574731107102.

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 15 ways as a sum of consecutive naturals, for example, 234655842 + ... + 234828689.

It is an arithmetic number, because the mean of its divisors is an integer number (1713031686135).

Almost surely, 240574731107144 is an apocalyptic number.

It is an amenable number.

40574731107144 is an abundant number, since it is smaller than the sum of its proper divisors (69059296805496).

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

40574731107144 is a wasteful number, since it uses less digits than its factorization.

40574731107144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469484830 (or 469484826 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 40574731107144 in words is "forty trillion, five hundred seventy-four billion, seven hundred thirty-one million, one hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 554 831 1108 1662 2216 3324 3601 6648 7202 10803 14404 21606 28808 43212 86424 469484531 938969062 1408453593 1877938124 2816907186 3755876248 5633814372 6103298903 11267628744 12206597806 18309896709 24413195612 36619793418 48826391224 73239586836 130047215087 146479173672 260094430174 390141645261 520188860348 780283290522 1040377720696 1560566581044 1690613796131 3121133162088 3381227592262 5071841388393 6762455184524 10143682776786 13524910369048 20287365553572 40574731107144