Search a number
-
+
40192655360 = 214511134773
BaseRepresentation
bin100101011011101010…
…110100000000000000
310211202002120102222012
4211123222310000000
51124303304432420
630244140032052
72622003635144
oct453352640000
9124662512865
1040192655360
1116055784950
127958532628
133a36c67810
141d33ddb224
1510a388edc5
hex95bab4000

40192655360 has 480 divisors, whose sum is σ = 117319491072. Its totient is φ = 13023313920.

The previous prime is 40192655333. The next prime is 40192655413. The reversal of 40192655360 is 6355629104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550584284 + ... + 550584356.

Almost surely, 240192655360 is an apocalyptic number.

40192655360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40192655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58659745536).

40192655360 is an abundant number, since it is smaller than the sum of its proper divisors (77126835712).

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

40192655360 is a wasteful number, since it uses less digits than its factorization.

40192655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 40192655360 in words is "forty billion, one hundred ninety-two million, six hundred fifty-five thousand, three hundred sixty".