Search a number
-
+
40550730000 = 2435411211171
BaseRepresentation
bin100101110001000000…
…110000100100010000
310212200001100112000220
4211301000300210100
51131021441330000
630343450513040
72633612342424
oct456100604420
9125601315026
1040550730000
1116219914700
127a38435780
133a931ba0c1
141d697aab84
1510c50211a0
hex971030910

40550730000 has 300 divisors, whose sum is σ = 143898175344. Its totient is φ = 9829600000.

The previous prime is 40550729977. The next prime is 40550730007. The reversal of 40550730000 is 3705504.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40550730007) 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 59 ways as a sum of consecutive naturals, for example, 3624415 + ... + 3635585.

Almost surely, 240550730000 is an apocalyptic number.

40550730000 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 40550730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71949087672).

40550730000 is an abundant number, since it is smaller than the sum of its proper divisors (103347445344).

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

40550730000 is a wasteful number, since it uses less digits than its factorization.

40550730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11192 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The spelling of 40550730000 in words is "forty billion, five hundred fifty million, seven hundred thirty thousand".