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4444359940608 = 29372353339091
BaseRepresentation
bin100000010101100100001…
…1111101101101000000000
3120201212200002022112120020
41000223020133231220000
51040304022121044413
613241413305413440
7636044245120050
oct100531037555000
916655602275506
104444359940608
11146392a35aa05
125b941b19a280
13263141864733
14115172b5b560
157a91c00ec23
hex40ac87eda00

4444359940608 has 320 divisors, whose sum is σ = 14386268362752. Its totient is φ = 1191687045120.

The previous prime is 4444359940591. The next prime is 4444359940649. The reversal of 4444359940608 is 8060499534444.

It is a happy number.

It is a super-2 number, since 2×44443599406082 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12937143 + ... + 13276233.

Almost surely, 24444359940608 is an apocalyptic number.

4444359940608 is a gapful number since it is divisible by the number (48) 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 4444359940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193134181376).

4444359940608 is an abundant number, since it is smaller than the sum of its proper divisors (9941908422144).

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

4444359940608 is a wasteful number, since it uses less digits than its factorization.

4444359940608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339195 (or 339179 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 4444359940608 in words is "four trillion, four hundred forty-four billion, three hundred fifty-nine million, nine hundred forty thousand, six hundred eight".