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1403204001441 = 311532113802319
BaseRepresentation
bin10100011010110101011…
…110011101111010100001
311222010220200212221011220
4110122311132131322201
5140442230211021231
62552342323325253
7203243463134064
oct24326536357241
94863820787156
101403204001441
114a1106093a70
121a7b4a220829
13a2424646b08
144bcb5d568db
152677959d896
hex146b579dea1

1403204001441 has 32 divisors (see below), whose sum is σ = 2089390049280. Its totient is φ = 830426251200.

The previous prime is 1403204001431. The next prime is 1403204001457. The reversal of 1403204001441 is 1441004023041.

It is not a de Polignac number, because 1403204001441 - 210 = 1403204000417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1403204001431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532121 + ... + 2270198.

It is an arithmetic number, because the mean of its divisors is an integer number (65293439040).

Almost surely, 21403204001441 is an apocalyptic number.

1403204001441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1403204001441 is a deficient number, since it is larger than the sum of its proper divisors (686186047839).

1403204001441 is a wasteful number, since it uses less digits than its factorization.

1403204001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802597.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1403204001441 its reverse (1441004023041), we get a palindrome (2844208024482).

The spelling of 1403204001441 in words is "one trillion, four hundred three billion, two hundred four million, one thousand, four hundred forty-one".

Divisors: 1 3 11 33 53 159 211 583 633 1749 2321 6963 11183 33549 123013 369039 3802319 11406957 41825509 125476527 201522907 604568721 802289309 2216751977 2406867927 6650255931 8825182399 26475547197 42521333377 127564000131 467734667147 1403204001441