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1449628040025 = 325211272972
BaseRepresentation
bin10101000110000100100…
…100000111101101011001
312010120202001220102221100
4111012010210013231121
5142222314234240100
63025541103502013
7206506064014254
oct25060444075531
95116661812840
101449628040025
11509869267300
121b4b455b7909
13a69125a2129
145023b79409b
1527a9502e400
hex15184907b59

1449628040025 has 81 divisors (see below), whose sum is σ = 2854334721693. Its totient is φ = 702753638400.

The previous prime is 1449628040017. The next prime is 1449628040041. The reversal of 1449628040025 is 5200408269441.

It is a happy number.

The square root of 1449628040025 is 1204005.

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

1449628040025 is a `hidden beast` number, since 14 + 4 + 9 + 628 + 0 + 4 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130502285001 + 1319125755024 = 361251^2 + 1148532^2 .

It is not a de Polignac number, because 1449628040025 - 23 = 1449628040017 is a prime.

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

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, 198657177 + ... + 198664473.

Almost surely, 21449628040025 is an apocalyptic number.

1449628040025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1449628040025 is the 1204005-th square number.

1449628040025 is the 602003-rd centered octagonal number.

It is an amenable number.

1449628040025 is a deficient number, since it is larger than the sum of its proper divisors (1404706681668).

1449628040025 is an frugal number, since it uses more digits than its factorization.

1449628040025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1449628040025 in words is "one trillion, four hundred forty-nine billion, six hundred twenty-eight million, forty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 7297 9075 21891 27225 36485 65673 80267 109455 182425 240801 328365 401335 547275 722403 882937 1204005 1641825 2006675 2648811 3612015 4414685 6020025 7946433 13244055 18060075 22073425 39732165 53246209 66220275 159738627 198660825 266231045 479215881 585708299 798693135 1331155225 1757124897 2396079405 2928541495 3993465675 5271374691 6442791289 8785624485 11980397025 14642707475 19328373867 26356873455 32213956445 43928122425 57985121601 96641869335 131784367275 161069782225 289925608005 483209346675 1449628040025