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144898229025 = 34521127692
BaseRepresentation
bin1000011011110010011…
…0111000001100100001
3111212000012120200210000
42012330212320030201
54333222421312100
6150322035530213
713316466424254
oct2067446701441
9455005520700
10144898229025
11564a6300100
12240ba159969
1310882609c74
147027d9b09b
153b80c73900
hex21bc9b8321

144898229025 has 135 divisors (see below), whose sum is σ = 295404089673. Its totient is φ = 70162329600.

The previous prime is 144898228973. The next prime is 144898229081. The reversal of 144898229025 is 520922898441.

The square root of 144898229025 is 380655.

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

144898229025 is a `hidden beast` number, since 1 + 448 + 98 + 2 + 2 + 90 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8976236049 + 135921992976 = 94743^2 + 368676^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 144898229025 - 227 = 144764011297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 188423841 + ... + 188424609.

Almost surely, 2144898229025 is an apocalyptic number.

144898229025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144898229025 is the 380655-th square number.

144898229025 is the 190328-th centered octagonal number.

It is an amenable number.

144898229025 is an abundant number, since it is smaller than the sum of its proper divisors (150505860648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144898229025 is an frugal number, since it uses more digits than its factorization.

144898229025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 144898229025 in words is "one hundred forty-four billion, eight hundred ninety-eight million, two hundred twenty-nine thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 769 825 891 1089 1485 1815 2025 2307 2475 3025 3267 3845 4455 5445 6921 7425 8459 9075 9801 11535 16335 19225 20763 22275 25377 27225 34605 42295 49005 57675 62289 76131 81675 93049 103815 126885 173025 211475 228393 245025 279147 311445 380655 465245 519075 591361 634425 685179 837441 1141965 1395735 1557225 1774083 1903275 2326225 2512323 2956805 3425895 4187205 5322249 5709825 6504971 6978675 7536969 8870415 12561615 14784025 15966747 17129475 19514913 20936025 26611245 32524855 37684845 44352075 47900241 58544739 62808075 71554681 79833735 97574565 133056225 162624275 175634217 188424225 214664043 239501205 292723695 357773405 399168675 487872825 526902651 643992129 878171085 1073320215 1197506025 1463618475 1788867025 1931976387 2634513255 3219960645 4390855425 5366601075 5795929161 9659881935 13172566275 16099803225 28979645805 48299409675 144898229025