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4022004440000 = 2654563178597
BaseRepresentation
bin111010100001110010001…
…001010101101111000000
3112020111111101221001221102
4322201302021111233000
51011344031114040000
612315403333313532
7563403006443321
oct72416211255700
915214441831842
104022004440000
1113107a4720078
1254b5a91958a8
13232372843631
14dc947918448
156e94cbb43d5
hex3a872255bc0

4022004440000 has 140 divisors (see below), whose sum is σ = 9991034301864. Its totient is φ = 1605935232000.

The previous prime is 4022004439969. The next prime is 4022004440017. The reversal of 4022004440000 is 444002204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22430702 + ... + 22609298.

Almost surely, 24022004440000 is an apocalyptic number.

4022004440000 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 4022004440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995517150932).

4022004440000 is an abundant number, since it is smaller than the sum of its proper divisors (5969029861864).

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

4022004440000 is an equidigital number, since it uses as much as digits as its factorization.

4022004440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179192 (or 179167 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4022004440000 its reverse (444002204), we get a palindrome (4022448442204).

The spelling of 4022004440000 in words is "four trillion, twenty-two billion, four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 563 625 800 1000 1126 1250 1600 2000 2252 2500 2815 4000 4504 5000 5630 8000 9008 10000 11260 14075 18016 20000 22520 28150 36032 40000 45040 56300 70375 90080 112600 140750 178597 180160 225200 281500 351875 357194 450400 563000 703750 714388 892985 900800 1126000 1407500 1428776 1785970 2252000 2815000 2857552 3571940 4464925 4504000 5630000 5715104 7143880 8929850 11260000 11430208 14287760 17859700 22324625 22520000 28575520 35719400 44649250 57151040 71438800 89298500 100550111 111623125 142877600 178597000 201100222 223246250 285755200 357194000 402200444 446492500 502750555 714388000 804400888 892985000 1005501110 1428776000 1608801776 1785970000 2011002220 2513752775 3217603552 3571940000 4022004440 5027505550 6435207104 7143880000 8044008880 10055011100 12568763875 16088017760 20110022200 25137527750 32176035520 40220044400 50275055500 62843819375 80440088800 100550111000 125687638750 160880177600 201100222000 251375277500 402200444000 502750555000 804400888000 1005501110000 2011002220000 4022004440000