Search a number
-
+
40027532130234 = 232114331137674013
BaseRepresentation
bin10010001100111101000101…
…10101010111011110111010
312020201121001112111010210200
421012132202311113132322
520221302341211131414
6221044221105223030
711300615363224005
oct1106364265273672
9166647045433720
1040027532130234
1111832643410010
1245a572b631a76
13194477059cb9c
149c54b2c7853c
1549631bd65109
hex2467a2d577ba

40027532130234 has 192 divisors, whose sum is σ = 97172054673408. Its totient is φ = 11803300790400.

The previous prime is 40027532130217. The next prime is 40027532130263. The reversal of 40027532130234 is 43203123572004.

40027532130234 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 75 + 321 + 30 + 234 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9974464012 + ... + 9974468024.

It is an arithmetic number, because the mean of its divisors is an integer number (506104451424).

Almost surely, 240027532130234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40027532130234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48586027336704).

40027532130234 is an abundant number, since it is smaller than the sum of its proper divisors (57144522543174).

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

40027532130234 is a wasteful number, since it uses less digits than its factorization.

40027532130234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 40027532130234 in words is "forty trillion, twenty-seven billion, five hundred thirty-two million, one hundred thirty thousand, two hundred thirty-four".