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1434150514305 = 34533713105037
BaseRepresentation
bin10100110111101010000…
…010000010111010000001
312002002210102012200010000
4110313222002002322001
5141444120012424210
63014501210430213
7205420405143465
oct24675202027201
95062712180100
101434150514305
11503246639133
121b1b46132369
13a5316b3c6a2
144d5add884a5
152748b340ac0
hex14dea082e81

1434150514305 has 40 divisors (see below), whose sum is σ = 2570948321832. Its totient is φ = 764850304512.

The previous prime is 1434150514283. The next prime is 1434150514331. The reversal of 1434150514305 is 5034150514341.

1434150514305 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 505 + 143 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55144189584 + 1379006324721 = 234828^2 + 1174311^2 .

It is not a de Polignac number, because 1434150514305 - 26 = 1434150514241 is a prime.

It is a super-3 number, since 3×14341505143053 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1434150514305.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13601247 + ... + 13706283.

Almost surely, 21434150514305 is an apocalyptic number.

1434150514305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1434150514305 is a deficient number, since it is larger than the sum of its proper divisors (1136797807527).

1434150514305 is a wasteful number, since it uses less digits than its factorization.

1434150514305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138767 (or 138758 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1434150514305 its sum of digits (36), we get a palindrome (1434150514341).

The spelling of 1434150514305 in words is "one trillion, four hundred thirty-four billion, one hundred fifty million, five hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 33713 101139 105037 168565 303417 315111 505695 525185 910251 945333 1517085 1575555 2730753 2835999 4551255 4726665 8507997 13653765 14179995 42539985 3541112381 10623337143 17705561905 31870011429 53116685715 95610034287 159350057145 286830102861 478050171435 1434150514305