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4444444440040 = 2351130732902313
BaseRepresentation
bin100000010101100110110…
…0010000011010111101000
3120201212212222022112222211
41000223031202003113220
51040304210234040130
613241425524454504
7636046322263063
oct100531542032750
916655788275884
104444444440040
111463973024650
125b944354a434
1326315620bab7
141151800758da
157a924651a2a
hex40acd8835e8

4444444440040 has 64 divisors (see below), whose sum is σ = 10944625728960. Its totient is φ = 1610897195520.

The previous prime is 4444444440017. The next prime is 4444444440047. The reversal of 4444444440040 is 400444444444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4444444439975 and 4444444440002.

It is not an unprimeable number, because it can be changed into a prime (4444444440047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16316077 + ... + 16586236.

It is an arithmetic number, because the mean of its divisors is an integer number (171009777015).

Almost surely, 24444444440040 is an apocalyptic number.

4444444440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444444440040 is an abundant number, since it is smaller than the sum of its proper divisors (6500181288920).

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

4444444440040 is a wasteful number, since it uses less digits than its factorization.

4444444440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32902642 (or 32902638 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4444444440040 its reverse (400444444444), we get a palindrome (4844888884484).

The spelling of 4444444440040 in words is "four trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 307 440 614 1228 1535 2456 3070 3377 6140 6754 12280 13508 16885 27016 33770 67540 135080 32902313 65804626 131609252 164511565 263218504 329023130 361925443 658046260 723850886 1316092520 1447701772 1809627215 2895403544 3619254430 7238508860 10101010091 14477017720 20202020182 40404040364 50505050455 80808080728 101010100910 111111111001 202020201820 222222222002 404040403640 444444444004 555555555005 888888888008 1111111110010 2222222220020 4444444440040