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145081001025 = 32526723792
BaseRepresentation
bin1000011100011110000…
…0000110010001000001
3111212110221111110211100
42013013200012101001
54334111214013100
6150352125205013
713324146106242
oct2070740062101
9455427443740
10145081001025
115658a496444
122414b400769
13108b144178c
147044376cc9
153b91d28400
hex21c7806441

145081001025 has 81 divisors (see below), whose sum is σ = 264490389891. Its totient is φ = 76020547680.

The previous prime is 145081000979. The next prime is 145081001047. The reversal of 145081001025 is 520100180541.

The square root of 145081001025 is 380895.

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

145081001025 is a `hidden beast` number, since 1 + 450 + 8 + 100 + 102 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52229160369 + 92851840656 = 228537^2 + 304716^2 .

It is not a de Polignac number, because 145081001025 - 211 = 145080998977 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145081001025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 382799286 + ... + 382799664.

Almost surely, 2145081001025 is an apocalyptic number.

145081001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145081001025 is the 380895-th square number.

145081001025 is the 190448-th centered octagonal number.

It is an amenable number.

145081001025 is a deficient number, since it is larger than the sum of its proper divisors (119409388866).

145081001025 is an frugal number, since it uses more digits than its factorization.

145081001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Multiplying 145081001025 by its product of nonzero digits (1600), we get a square (232129601640000 = 152358002).

Adding to 145081001025 its reverse (520100180541), we get a palindrome (665181181566).

The spelling of 145081001025 in words is "one hundred forty-five billion, eighty-one million, one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 201 225 335 379 603 1005 1137 1675 1895 3015 3411 4489 5025 5685 9475 13467 15075 17055 22445 25393 28425 40401 67335 76179 85275 112225 126965 143641 202005 228537 336675 380895 430923 634825 718205 1010025 1142685 1292769 1701331 1904475 2154615 3591025 5103993 5713425 6463845 8506655 9623947 10773075 15311979 25519965 28871841 32319225 42533275 48119735 76559895 86615523 127599825 144359205 240598675 382799475 433077615 644804449 721796025 1934413347 2165388075 3224022245 5803240041 9672066735 16120111225 29016200205 48360333675 145081001025