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144001320003025 = 52292827592
BaseRepresentation
bin100000101111011111101011…
…100001101010010111010001
3200212212101120120202100021021
4200233133223201222113101
5122333304200410044100
61230133143153155441
742221515644113422
oct4057375341522721
9625771516670237
10144001320003025
1141979687042701
121419850685bb81
13624735cb289c4
14277b9b5a77649
15119ac112d8a1a
hex82f7eb86a5d1

144001320003025 has 27 divisors (see below), whose sum is σ = 184933489841841. Its totient is φ = 111227261789280.

The previous prime is 144001320002977. The next prime is 144001320003113. The reversal of 144001320003025 is 520300023100441.

The square root of 144001320003025 is 12000055.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1979376051409 + 142021943951616 = 1406903^2 + 11917296^2 .

It is not a de Polignac number, because 144001320003025 - 217 = 144001319871953 is a prime.

It is a super-2 number, since 2×1440013200030252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1739966596 + ... + 1740049354.

Almost surely, 2144001320003025 is an apocalyptic number.

144001320003025 is the 12000055-th square number.

144001320003025 is the 6000028-th centered octagonal number.

It is an amenable number.

144001320003025 is a deficient number, since it is larger than the sum of its proper divisors (40932169838816).

144001320003025 is an frugal number, since it uses more digits than its factorization.

144001320003025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165586 (or 82793 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

144001320003025 divided by its sum of digits (25) gives a square (5760052800121 = 24000112).

Adding to 144001320003025 its reverse (520300023100441), we get a palindrome (664301343103466).

The spelling of 144001320003025 in words is "one hundred forty-four trillion, one billion, three hundred twenty million, three thousand, twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 21025 82759 413795 2068975 2400011 12000055 60000275 69600319 348001595 1740007975 6849052081 34245260405 171226302025 198622510349 993112551745 4965562758725 5760052800121 28800264000605 144001320003025