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40814573850 = 23252373243161
BaseRepresentation
bin100110000000101111…
…001111100100011010
310220100102211011202100
4212000233033210122
51132042012330400
630425553544230
72643265103451
oct460057174432
9126312734670
1040814573850
1116344843476
127ab0875076
133b05a68b1b
141d9284bb98
1510dd28c100
hex980bcf91a

40814573850 has 72 divisors (see below), whose sum is σ = 109949588892. Its totient is φ = 10854662400.

The previous prime is 40814573837. The next prime is 40814573857. The reversal of 40814573850 is 5837541804.

40814573850 is a `hidden beast` number, since 40 + 81 + 457 + 3 + 85 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9471766329 + 31342807521 = 97323^2 + 177039^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40814573796 and 40814573805.

It is not an unprimeable number, because it can be changed into a prime (40814573857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46270 + ... + 289430.

Almost surely, 240814573850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40814573850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54974794446).

40814573850 is an abundant number, since it is smaller than the sum of its proper divisors (69135015042).

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

40814573850 is a wasteful number, since it uses less digits than its factorization.

40814573850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243552 (or 243544 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40814573850 in words is "forty billion, eight hundred fourteen million, five hundred seventy-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 373 450 746 1119 1865 2238 3357 3730 5595 6714 9325 11190 16785 18650 27975 33570 55950 83925 167850 243161 486322 729483 1215805 1458966 2188449 2431610 3647415 4376898 6079025 7294830 10942245 12158050 18237075 21884490 36474150 54711225 90699053 109422450 181398106 272097159 453495265 544194318 816291477 906990530 1360485795 1632582954 2267476325 2720971590 4081457385 4534952650 6802428975 8162914770 13604857950 20407286925 40814573850