Search a number
-
+
40042206360 = 233351314919141
BaseRepresentation
bin100101010010101100…
…111001010010011000
310211100121110211202000
4211102230321102120
51124001301100420
630221203241000
72615166065262
oct452254712230
9124317424660
1040042206360
1115a88866332
127916079160
133a11a3c440
141d1c036b32
151095572690
hex952b39498

40042206360 has 256 divisors, whose sum is σ = 144713520000. Its totient is φ = 9789880320.

The previous prime is 40042206313. The next prime is 40042206371. The reversal of 40042206360 is 6360224004.

40042206360 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 20 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082390 + ... + 2101530.

Almost surely, 240042206360 is an apocalyptic number.

40042206360 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 40042206360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72356760000).

40042206360 is an abundant number, since it is smaller than the sum of its proper divisors (104671313640).

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

40042206360 is a wasteful number, since it uses less digits than its factorization.

40042206360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19323 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40042206360 in words is "forty billion, forty-two million, two hundred six thousand, three hundred sixty".