Search a number
-
+
4244406464205 = 34531477192873
BaseRepresentation
bin111101110000111010010…
…101101110111011001101
3120000202112222120111110000
4331300322111232323031
51024020021023323310
613005504200434513
7615435230451255
oct75607225567315
916022488514400
104244406464205
111397051885666
12586717178a39
1324a32708451b
14109604d0a965
1575617bca4c0
hex3dc3a56eecd

4244406464205 has 80 divisors (see below), whose sum is σ = 8021032740864. Its totient is φ = 2144051285760.

The previous prime is 4244406464191. The next prime is 4244406464219. The reversal of 4244406464205 is 5024646044424.

It is an interprime number because it is at equal distance from previous prime (4244406464191) and next prime (4244406464219).

It is not a de Polignac number, because 4244406464205 - 28 = 4244406463949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3006352 + ... + 4186521.

Almost surely, 24244406464205 is an apocalyptic number.

4244406464205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4244406464205 is a deficient number, since it is larger than the sum of its proper divisors (3776626276659).

4244406464205 is a wasteful number, since it uses less digits than its factorization.

4244406464205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192968 (or 7192959 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 4244406464205 in words is "four trillion, two hundred forty-four billion, four hundred six million, four hundred sixty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 27 31 45 47 81 93 135 141 155 235 279 405 423 465 705 837 1269 1395 1457 2115 2511 3807 4185 4371 6345 7285 12555 13113 19035 21855 39339 65565 118017 196695 590085 7192873 21578619 35964365 64735857 107893095 194207571 222979063 323679285 338065031 582622713 668937189 971037855 1014195093 1114895315 1690325155 2006811567 2913113565 3042585279 3344685945 5070975465 6020434701 9127755837 10034057835 10480015961 15212926395 18061304103 27383267511 30102173505 31440047883 45638779185 52400079805 90306520515 94320143649 136916337555 157200239415 282960430947 471600718245 848881292841 1414802154735 4244406464205