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40215228240 = 243511192832833
BaseRepresentation
bin100101011101000000…
…111010111101010000
310211210200001021010210
4211131000322331100
51124330044300430
630250303524120
72622366541245
oct453500727520
9124720037123
1040215228240
11160674a2220
127963bb9640
133a3b83c055
141d36dd55cc
1510a584d2b0
hex95d03af50

40215228240 has 320 divisors, whose sum is σ = 143715087360. Its totient is φ = 9200148480.

The previous prime is 40215228217. The next prime is 40215228241. The reversal of 40215228240 is 4282251204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40215228198 and 40215228207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40215228241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14193864 + ... + 14196696.

It is an arithmetic number, because the mean of its divisors is an integer number (449109648).

Almost surely, 240215228240 is an apocalyptic number.

40215228240 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 40215228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71857543680).

40215228240 is an abundant number, since it is smaller than the sum of its proper divisors (103499859120).

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

40215228240 is a wasteful number, since it uses less digits than its factorization.

40215228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 40215228240 its reverse (4282251204), we get a palindrome (44497479444).

The spelling of 40215228240 in words is "forty billion, two hundred fifteen million, two hundred twenty-eight thousand, two hundred forty".