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44230132400040 = 233251714431500807
BaseRepresentation
bin10100000111010001000010…
…10101000111111110101000
312210121100200222022220211100
422003220201111013332220
521244131302343300130
6234023013050201400
712213343625140506
oct1203504125077650
9183540628286740
1044230132400040
1113102991731a94
124b64119a23260
131b8ab64323472
14acca6d76b676
1551a7d96c9c60
hex283a21547fa8

44230132400040 has 192 divisors, whose sum is σ = 152214541839360. Its totient is φ = 11100104570880.

The previous prime is 44230132400039. The next prime is 44230132400137. The reversal of 44230132400040 is 4000423103244.

It is a happy number.

It is a super-2 number, since 2×442301324000402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44230132399977 and 44230132400013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88067317 + ... + 88568123.

It is an arithmetic number, because the mean of its divisors is an integer number (792784072080).

Almost surely, 244230132400040 is an apocalyptic number.

44230132400040 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 44230132400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76107270919680).

44230132400040 is an abundant number, since it is smaller than the sum of its proper divisors (107984409439320).

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

44230132400040 is a wasteful number, since it uses less digits than its factorization.

44230132400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515272 (or 515265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44230132400040 its reverse (4000423103244), we get a palindrome (48230555503284).

The spelling of 44230132400040 in words is "forty-four trillion, two hundred thirty billion, one hundred thirty-two million, four hundred thousand, forty".