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40223112320 = 2754167137167
BaseRepresentation
bin100101011101011110…
…111111110010000000
310211211012212211001202
4211131132333302000
51124334104043240
630251144520332
72622523546016
oct453536776200
9124735784052
1040223112320
1116070997696
1279667800a8
133a4036c7a1
141d380888b6
1510a63a9315
hex95d7bfc80

40223112320 has 256 divisors, whose sum is σ = 101306661120. Its totient is φ = 15257763840.

The previous prime is 40223112289. The next prime is 40223112409. The reversal of 40223112320 is 2321132204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40223112292 and 40223112301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240856877 + ... + 240857043.

It is an arithmetic number, because the mean of its divisors is an integer number (395729145).

Almost surely, 240223112320 is an apocalyptic number.

40223112320 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 40223112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50653330560).

40223112320 is an abundant number, since it is smaller than the sum of its proper divisors (61083548800).

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

40223112320 is a wasteful number, since it uses less digits than its factorization.

40223112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40223112320 its reverse (2321132204), we get a palindrome (42544244524).

The spelling of 40223112320 in words is "forty billion, two hundred twenty-three million, one hundred twelve thousand, three hundred twenty".