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40223106720 = 25325293592683
BaseRepresentation
bin100101011101011110…
…111110011010100000
310211211012212112101100
4211131132332122200
51124334103403340
630251144434400
72622523523466
oct453536763240
9124735775340
1040223106720
1116070993465
127966778a00
133a4036a084
141d38086836
1510a63a7830
hex95d7be6a0

40223106720 has 288 divisors, whose sum is σ = 142443100800. Its totient is φ = 10323597312.

The previous prime is 40223106611. The next prime is 40223106727. The reversal of 40223106720 is 2760132204.

40223106720 is a `hidden beast` number, since 402 + 231 + 0 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (40223106727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14990499 + ... + 14993181.

It is an arithmetic number, because the mean of its divisors is an integer number (494594100).

Almost surely, 240223106720 is an apocalyptic number.

40223106720 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 40223106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71221550400).

40223106720 is an abundant number, since it is smaller than the sum of its proper divisors (102219994080).

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

40223106720 is a wasteful number, since it uses less digits than its factorization.

40223106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 40223106720 its reverse (2760132204), we get a palindrome (42983238924).

The spelling of 40223106720 in words is "forty billion, two hundred twenty-three million, one hundred six thousand, seven hundred twenty".