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40803291540 = 223551117219139
BaseRepresentation
bin100110000000000100…
…001101000110010100
310220022122120222100000
4212000010031012110
51132031120312130
630424512051300
72643100153434
oct460004150624
9126278528300
1040803291540
1116339437950
127aa8b33b30
133b036186bb
141d911522c4
1510dc2ae260
hex98010d194

40803291540 has 864 divisors, whose sum is σ = 157698777600. Its totient is φ = 8756398080.

The previous prime is 40803291509. The next prime is 40803291547. The reversal of 40803291540 is 4519230804.

40803291540 is a `hidden beast` number, since 4 + 0 + 80 + 32 + 9 + 1 + 540 = 666.

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 = 40803291495 and 40803291504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40803291547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 293548791 + ... + 293548929.

Almost surely, 240803291540 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 40803291540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78849388800).

40803291540 is an abundant number, since it is smaller than the sum of its proper divisors (116895486060).

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

40803291540 is a wasteful number, since it uses less digits than its factorization.

40803291540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40803291540 in words is "forty billion, eight hundred three million, two hundred ninety-one thousand, five hundred forty".