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40050554544 = 2433721113101131
BaseRepresentation
bin100101010011001100…
…101111011010110000
310211101012011222022000
4211103030233122300
51124010420221134
630222102214000
72615330045100
oct452314573260
9124335158260
1040050554544
1115a92548460
127918a24300
133a136a31b0
141d1d1ab200
151096170e99
hex95332f6b0

40050554544 has 960 divisors, whose sum is σ = 159874767360. Its totient is φ = 9434880000.

The previous prime is 40050554539. The next prime is 40050554549. The reversal of 40050554544 is 44545505004.

40050554544 is a `hidden beast` number, since 4 + 0 + 0 + 50 + 554 + 54 + 4 = 666.

40050554544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40050554539) and next prime (40050554549).

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 = 40050554499 and 40050554508.

It is not an unprimeable number, because it can be changed into a prime (40050554549) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 305729359 + ... + 305729489.

It is an arithmetic number, because the mean of its divisors is an integer number (166536216).

Almost surely, 240050554544 is an apocalyptic number.

40050554544 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 40050554544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79937383680).

40050554544 is an abundant number, since it is smaller than the sum of its proper divisors (119824212816).

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

40050554544 is a wasteful number, since it uses less digits than its factorization.

40050554544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 40050554544 in words is "forty billion, fifty million, five hundred fifty-four thousand, five hundred forty-four".