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4441320320004 = 2232717612283319
BaseRepresentation
bin100000010100001001101…
…0100011110110000000100
3120201120211020201210222100
41000220103110132300010
51040231311000220004
613240151524032100
7635606025556311
oct100502324366004
916646736653870
104441320320004
11146260a598a67
125b8911232630
13262a78bba269
14114d6519dd08
157a7e0241739
hex40a1351ec04

4441320320004 has 72 divisors (see below), whose sum is σ = 11399758231680. Its totient is φ = 1457670211200.

The previous prime is 4441320319991. The next prime is 4441320320029. The reversal of 4441320320004 is 4000230231444.

It is a happy number.

4441320320004 is a `hidden beast` number, since 44 + 413 + 2 + 0 + 3 + 200 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4441320320004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803457 + ... + 3086775.

It is an arithmetic number, because the mean of its divisors is an integer number (158329975440).

Almost surely, 24441320320004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441320320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699879115840).

4441320320004 is an abundant number, since it is smaller than the sum of its proper divisors (6958437911676).

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

4441320320004 is a wasteful number, since it uses less digits than its factorization.

4441320320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284161 (or 2284156 counting only the distinct ones).

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

Adding to 4441320320004 its reverse (4000230231444), we get a palindrome (8441550551448).

The spelling of 4441320320004 in words is "four trillion, four hundred forty-one billion, three hundred twenty million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 761 852 1278 1522 2283 2556 3044 4566 6849 9132 13698 27396 54031 108062 162093 216124 324186 486279 648372 972558 1945116 2283319 4566638 6849957 9133276 13699914 20549871 27399828 41099742 82199484 162115649 324231298 486346947 648462596 972693894 1459040841 1737605759 1945387788 2918081682 3475211518 5212817277 5836163364 6950423036 10425634554 15638451831 20851269108 31276903662 62553807324 123370008889 246740017778 370110026667 493480035556 740220053334 1110330080001 1480440106668 2220660160002 4441320320004