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1429918524385 = 51337619746897
BaseRepresentation
bin10100110011101101110…
…010010010001111100001
312001200212110222022022121
4110303231302102033201
5141411433120240020
63012521232304241
7205210466625451
oct24635562221741
95050773868277
101429918524385
115014748024aa
121b11649a2081
13a4ac1143040
144d2cbcc5d61
15272dea42baa
hex14cedc923e1

1429918524385 has 32 divisors (see below), whose sum is σ = 1928950101792. Its totient is φ = 1010558177280.

The previous prime is 1429918524379. The next prime is 1429918524449. The reversal of 1429918524385 is 5834258199241.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 370188281761 + 1059730242624 = 608431^2 + 1029432^2 .

It is not a de Polignac number, because 1429918524385 - 223 = 1429910135777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4726744 + ... + 5020153.

It is an arithmetic number, because the mean of its divisors is an integer number (60279690681).

Almost surely, 21429918524385 is an apocalyptic number.

It is an amenable number.

1429918524385 is a deficient number, since it is larger than the sum of its proper divisors (499031577407).

1429918524385 is a wasteful number, since it uses less digits than its factorization.

1429918524385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747013.

The product of its digits is 24883200, while the sum is 61.

The spelling of 1429918524385 in words is "one trillion, four hundred twenty-nine billion, nine hundred eighteen million, five hundred twenty-four thousand, three hundred eighty-five".

Divisors: 1 5 13 37 61 65 185 305 481 793 2257 2405 3965 11285 29341 146705 9746897 48734485 126709661 360635189 594560717 633548305 1803175945 2972803585 4688257457 7729289321 21998746529 23441287285 38646446605 109993732645 285983704877 1429918524385