Search a number
-
+
40550623344 = 243271131117973
BaseRepresentation
bin100101110001000000…
…010110100001110000
310212200001011002201200
4211301000112201300
51131021424421334
630343444331200
72633611416450
oct456100264160
9125601132650
1040550623344
1116219851560
127a383a3b00
133a931806aa
141d6977dd60
1510c4eee799
hex971016870

40550623344 has 240 divisors, whose sum is σ = 146053699584. Its totient is φ = 10192780800.

The previous prime is 40550623301. The next prime is 40550623357. The reversal of 40550623344 is 44332605504.

40550623344 is a `hidden beast` number, since 4 + 0 + 550 + 62 + 3 + 3 + 44 = 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 = 40550623299 and 40550623308.

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 47 ways as a sum of consecutive naturals, for example, 284742 + ... + 402714.

Almost surely, 240550623344 is an apocalyptic number.

40550623344 is a gapful number since it is divisible by the number (44) 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 40550623344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73026849792).

40550623344 is an abundant number, since it is smaller than the sum of its proper divisors (105503076240).

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

40550623344 is a wasteful number, since it uses less digits than its factorization.

40550623344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118036 (or 118027 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40550623344 in words is "forty billion, five hundred fifty million, six hundred twenty-three thousand, three hundred forty-four".