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2144153025 = 365276
BaseRepresentation
bin111111111001101…
…0010110111000001
312112102121021000000
41333303102313001
513342400344100
6552432350213
7104064000000
oct17763226701
95472537000
102144153025
11a003559a3
124ba0a5369
132822a9b01
14164aa0c37
15c8389900
hex7fcd2dc1

2144153025 has 147 divisors (see below), whose sum is σ = 4650678931. Its totient is φ = 980184240.

The previous prime is 2144153003. The next prime is 2144153129. The reversal of 2144153025 is 5203514412.

2144153025 = 65242 + 65252 + ... + 65732.

The square root of 2144153025 is 46305.

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

2144153025 is a `hidden beast` number, since 214 + 415 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771895089 + 1372257936 = 27783^2 + 37044^2 .

It is a tau number, because it is divible by the number of its divisors (147).

It is not a de Polignac number, because 2144153025 - 221 = 2142055873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2144153025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 306307572 + ... + 306307578.

Almost surely, 22144153025 is an apocalyptic number.

2144153025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2144153025 is the 46305-th square number.

2144153025 is the 23153-rd centered octagonal number.

It is an amenable number.

2144153025 is an abundant number, since it is smaller than the sum of its proper divisors (2506525906).

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

2144153025 is an frugal number, since it uses more digits than its factorization.

2144153025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 2144153025 is about 1289.4918225519.

Adding to 2144153025 its reverse (5203514412), we get a palindrome (7347667437).

The spelling of 2144153025 in words is "two billion, one hundred forty-four million, one hundred fifty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 243 245 315 343 405 441 525 567 675 729 735 945 1029 1215 1225 1323 1575 1701 1715 2025 2205 2401 2835 3087 3645 3675 3969 4725 5103 5145 6075 6615 7203 8505 8575 9261 11025 11907 12005 14175 15435 16807 18225 19845 21609 25515 25725 27783 33075 35721 36015 42525 46305 50421 59535 60025 64827 77175 83349 84035 99225 108045 117649 127575 138915 151263 178605 180075 194481 231525 250047 252105 297675 324135 352947 416745 420175 453789 540225 583443 588245 694575 756315 893025 972405 1058841 1250235 1260525 1361367 1620675 1750329 1764735 2083725 2268945 2917215 2941225 3176523 3781575 4084101 4862025 5294205 6251175 6806835 8751645 8823675 9529569 11344725 12252303 14586075 15882615 20420505 26471025 28588707 34034175 43758225 47647845 61261515 79413075 85766121 102102525 142943535 238239225 306307575 428830605 714717675 2144153025