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4430220320001 = 379710335475953
BaseRepresentation
bin100000001110111110110…
…1101010101110100000001
3120200112011200010101112010
41000131331231111310001
51040041042400220001
613231114244323133
7635033663251260
oct100357555256401
916615150111463
104430220320001
111458933969743
125b67339a34a9
132619ca34c118
141145d0cdc5d7
157a3909ec8d6
hex4077db55d01

4430220320001 has 64 divisors (see below), whose sum is σ = 6889724162048. Its totient is φ = 2480014983168.

The previous prime is 4430220319961. The next prime is 4430220320039. The reversal of 4430220320001 is 1000230220344.

It is not a de Polignac number, because 4430220320001 - 214 = 4430220303617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4430220320001.

It is not an unprimeable number, because it can be changed into a prime (4430220220001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744196641 + ... + 744202593.

It is an arithmetic number, because the mean of its divisors is an integer number (107651940032).

Almost surely, 24430220320001 is an apocalyptic number.

It is an amenable number.

4430220320001 is a deficient number, since it is larger than the sum of its proper divisors (2459503842047).

4430220320001 is a wasteful number, since it uses less digits than its factorization.

4430220320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 4430220320001 its reverse (1000230220344), we get a palindrome (5430450540345).

The spelling of 4430220320001 in words is "four trillion, four hundred thirty billion, two hundred twenty million, three hundred twenty thousand, one".

Divisors: 1 3 7 21 97 103 291 309 679 721 2037 2163 3547 5953 9991 10641 17859 24829 29973 41671 69937 74487 125013 209811 344059 365341 577441 613159 1032177 1096023 1732323 1839477 2408413 2557387 4042087 4292113 7225239 7672161 12126261 12876339 21115291 35438077 59476423 63345873 106314231 147807037 178429269 248066539 416334961 443421111 744199617 1249004883 2048183227 2174874973 6144549681 6524624919 14337282589 15224124811 43011847767 45672374433 210962872381 632888617143 1476740106667 4430220320001