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1416128560145 = 51373329722501
BaseRepresentation
bin10100100110110111110…
…101101111110000010001
312000101021102201112122022
4110212313311233300101
5141200212402411040
63002321021421225
7204211662103205
oct24466765576021
95011242645568
101416128560145
114a6638721242
121aa55670a815
13a37041c33a0
144c780684b05
1526c8409c6b5
hex149b7d6fc11

1416128560145 has 16 divisors (see below), whose sum is σ = 1832570583312. Its totient is φ = 1044329760000.

The previous prime is 1416128560141. The next prime is 1416128560163. The reversal of 1416128560145 is 5410658216141.

It is a happy number.

It is a Cunningham number, because it is equal to 11900122+1.

It can be written as a sum of positive squares in 8 ways, for example, as 84594885904 + 1331533674241 = 290852^2 + 1153921^2 .

It is not a de Polignac number, because 1416128560145 - 22 = 1416128560141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1416128560096 and 1416128560105.

It is not an unprimeable number, because it can be changed into a prime (1416128560141) 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 15 ways as a sum of consecutive naturals, for example, 14813606 + ... + 14908895.

It is an arithmetic number, because the mean of its divisors is an integer number (114535661457).

Almost surely, 21416128560145 is an apocalyptic number.

It is an amenable number.

1416128560145 is a deficient number, since it is larger than the sum of its proper divisors (416442023167).

1416128560145 is a wasteful number, since it uses less digits than its factorization.

1416128560145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29723252.

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 1416128560145 in words is "one trillion, four hundred sixteen billion, one hundred twenty-eight million, five hundred sixty thousand, one hundred forty-five".

Divisors: 1 5 13 65 733 3665 9529 47645 29722501 148612505 386392513 1931962565 21786593233 108932966165 283225712029 1416128560145