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144154341441 = 33112112300323
BaseRepresentation
bin1000011001000001000…
…1001011000001000001
3111210002100211021212000
42012100101023001001
54330212002411231
6150120143454213
713262164453635
oct2062021130101
9453070737760
10144154341441
1156154405380
1223b30bb7369
13107944726b6
146d9727adc5
153b3a7d26e6
hex219044b041

144154341441 has 32 divisors (see below), whose sum is σ = 234080970240. Its totient is φ = 86952171600.

The previous prime is 144154341413. The next prime is 144154341451. The reversal of 144154341441 is 144143451441.

It is not a de Polignac number, because 144154341441 - 29 = 144154340929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144154341396 and 144154341405.

It is not an unprimeable number, because it can be changed into a prime (144154341451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087495 + ... + 1212828.

It is an arithmetic number, because the mean of its divisors is an integer number (7315030320).

Almost surely, 2144154341441 is an apocalyptic number.

144154341441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144154341441 is a deficient number, since it is larger than the sum of its proper divisors (89926628799).

144154341441 is a wasteful number, since it uses less digits than its factorization.

144154341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300554 (or 2300548 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 144154341441 its reverse (144143451441), we get a palindrome (288297792882).

Subtracting from 144154341441 its reverse (144143451441), we obtain a square (10890000 = 33002).

The spelling of 144154341441 in words is "one hundred forty-four billion, one hundred fifty-four million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 211 297 633 1899 2321 5697 6963 20889 62667 2300323 6900969 20702907 25303553 62108721 75910659 227731977 485368153 683195931 1456104459 4368313377 5339049683 13104940131 16017149049 48051447147 144154341441