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1441956664225 = 527211231192
BaseRepresentation
bin10100111110111011010…
…100001001001110100001
312002211221102212011200201
4110332323110021032201
5142111111401223400
63022231543345201
7206115013262200
oct24767324111641
95084842764621
101441956664225
11506591a44100
121b3564452201
13a5c8c16c7cc
144db109d1237
15277967e906a
hex14fbb5093a1

1441956664225 has 81 divisors (see below), whose sum is σ = 2286958079091. Its totient is φ = 898593880800.

The previous prime is 1441956664157. The next prime is 1441956664243. The reversal of 1441956664225 is 5224666591441.

The square root of 1441956664225 is 1200815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 519104399121 + 922852265104 = 720489^2 + 960652^2 .

It is not a de Polignac number, because 1441956664225 - 213 = 1441956656033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 462312216 + ... + 462315334.

Almost surely, 21441956664225 is an apocalyptic number.

1441956664225 is the 1200815-th square number.

1441956664225 is the 600408-th centered octagonal number.

It is an amenable number.

1441956664225 is a deficient number, since it is larger than the sum of its proper divisors (845001414866).

1441956664225 is an frugal number, since it uses more digits than its factorization.

1441956664225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 3142 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 55.

The spelling of 1441956664225 in words is "one trillion, four hundred forty-one billion, nine hundred fifty-six million, six hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 3119 4235 5929 13475 15595 21175 21833 29645 34309 77975 109165 148225 152831 171545 240163 377399 545825 764155 857725 1200815 1681141 1886995 2641793 3820775 6004075 8405705 9434975 9728161 13208965 18492551 42028525 48640805 66044825 68097127 92462755 107009771 243204025 340485635 462313775 476679889 535048855 749068397 1177107481 1702428175 2383399445 2675244275 3745341985 5243478779 5885537405 8239752367 11916997225 18726709925 26217393895 29427687025 41198761835 57678266569 131086969475 205993809175 288391332845 1441956664225