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14410001025 = 32527611271181
BaseRepresentation
bin11010110101110011…
…10010101010000001
31101012020221220020200
431122321302222001
5214002430013100
610341520155413
71020043662540
oct153271625201
941166856220
1014410001025
116125085062
122961a68b69
131488542634
149a9b22157
1559511ee00
hex35ae72a81

14410001025 has 144 divisors (see below), whose sum is σ = 30242254848. Its totient is φ = 6422976000.

The previous prime is 14410000991. The next prime is 14410001027. The reversal of 14410001025 is 52010001441.

14410001025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14410001025 - 27 = 14410000897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14410000989 and 14410001007.

It is not an unprimeable number, because it can be changed into a prime (14410001027) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 12200935 + ... + 12202115.

Almost surely, 214410001025 is an apocalyptic number.

14410001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14410001025 is an abundant number, since it is smaller than the sum of its proper divisors (15832253823).

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

14410001025 is a wasteful number, since it uses less digits than its factorization.

14410001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 14410001025 its reverse (52010001441), we get a palindrome (66420002466).

The spelling of 14410001025 in words is "fourteen billion, four hundred ten million, one thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 61 63 75 105 127 175 183 225 305 315 381 427 525 549 635 889 915 1143 1181 1281 1525 1575 1905 2135 2667 2745 3175 3543 3843 4445 4575 5715 5905 6405 7747 8001 8267 9525 10629 10675 13335 13725 17715 19215 22225 23241 24801 28575 29525 32025 38735 40005 41335 53145 54229 66675 69723 72041 74403 88575 96075 116205 124005 149987 162687 193675 200025 206675 216123 265725 271145 348615 360205 372015 449961 488061 504287 581025 620025 648369 749935 813435 1049909 1080615 1349883 1355725 1512861 1743075 1801025 1860075 2249805 2440305 2521435 3149727 3241845 3749675 4067175 4538583 5249545 5403075 6749415 7564305 9149207 9449181 11249025 12201525 12607175 15748635 16209225 22692915 26247725 27447621 33747075 37821525 45746035 47245905 64044449 78743175 82342863 113464575 137238105 192133347 228730175 236229525 320222245 411714315 576400041 686190525 960666735 1601111225 2058571575 2882000205 4803333675 14410001025