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40260186540 = 2235572293577
BaseRepresentation
bin100101011111101100…
…011011000110101100
310211220210122101100000
4211133230123012230
51124423101432130
630254551304300
72623453640100
oct453754330654
9124823571300
1040260186540
111608a90a042
12797707b090
133a47c506b2
141d3cd79900
1510a977e260
hex95fb1b1ac

40260186540 has 432 divisors, whose sum is σ = 148081463712. Its totient is φ = 9155026944.

The previous prime is 40260186521. The next prime is 40260186541. The reversal of 40260186540 is 4568106204.

40260186540 is a `hidden beast` number, since 4 + 0 + 2 + 601 + 8 + 6 + 5 + 40 = 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 = 40260186495 and 40260186504.

It is not an unprimeable number, because it can be changed into a prime (40260186541) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69774732 + ... + 69775308.

It is an arithmetic number, because the mean of its divisors is an integer number (342781166).

Almost surely, 240260186540 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 40260186540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74040731856).

40260186540 is an abundant number, since it is smaller than the sum of its proper divisors (107821277172).

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

40260186540 is a wasteful number, since it uses less digits than its factorization.

40260186540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40260186540 in words is "forty billion, two hundred sixty million, one hundred eighty-six thousand, five hundred forty".