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4440022212321 = 3737209926141
BaseRepresentation
bin100000010011100010111…
…1100100101111011100001
3120201110110210010010000000
41000213011330211323201
51040221131141243241
613235415033050213
7635531614046643
oct100470574457341
916643423103000
104440022212321
1114620038734a3
125b860a556969
132628ccc956c7
14114c80a12893
157a7662c6eb6
hex409c5f25ee1

4440022212321 has 64 divisors (see below), whose sum is σ = 6842511648000. Its totient is φ = 2878532199360.

The previous prime is 4440022212319. The next prime is 4440022212427. The reversal of 4440022212321 is 1232122200444.

It is a happy number.

4440022212321 is a `hidden beast` number, since 4 + 4 + 400 + 2 + 2 + 21 + 232 + 1 = 666.

It is not a de Polignac number, because 4440022212321 - 21 = 4440022212319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4440022252321) 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, 169835911 + ... + 169862051.

It is an arithmetic number, because the mean of its divisors is an integer number (106914244500).

Almost surely, 24440022212321 is an apocalyptic number.

It is an amenable number.

4440022212321 is a deficient number, since it is larger than the sum of its proper divisors (2402489435679).

4440022212321 is an equidigital number, since it uses as much as digits as its factorization.

4440022212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28298 (or 28280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4440022212321 its reverse (1232122200444), we get a palindrome (5672144412765).

The spelling of 4440022212321 in words is "four trillion, four hundred forty billion, twenty-two million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 2099 2187 2997 6297 8991 18891 26141 26973 56673 77663 78423 80919 170019 232989 235269 510057 698967 705807 967217 1530171 2096901 2117421 2901651 4590513 6290703 6352263 8704953 18872109 19056789 26114859 54869959 56616327 57170367 78344577 164609877 169848981 235033731 493829631 705101193 1481488893 2030188483 2115303579 4444466679 6090565449 13333400037 18271696347 40000200111 54815089041 120000600333 164445267123 493335801369 1480007404107 4440022212321