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1434150514341 = 327975711532311
BaseRepresentation
bin10100110111101010000…
…010000010111010100101
312002002210102012200011100
4110313222002002322211
5141444120012424331
63014501210430313
7205420405143546
oct24675202027245
95062712180140
101434150514341
11503246639166
121b1b46132399
13a5316b3c6cc
144d5add884cd
152748b340ae6
hex14dea082ea5

1434150514341 has 48 divisors (see below), whose sum is σ = 2103275599360. Its totient is φ = 941525544960.

The previous prime is 1434150514331. The next prime is 1434150514387.

1434150514341 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 505 + 143 + 4 + 1 = 666.

1434150514341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1434150514341 - 211 = 1434150512293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1434150514296 and 1434150514305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434150514331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620574576 + ... + 620576886.

Almost surely, 21434150514341 is an apocalyptic number.

It is an amenable number.

1434150514341 is a deficient number, since it is larger than the sum of its proper divisors (669125085019).

1434150514341 is a wasteful number, since it uses less digits than its factorization.

1434150514341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1434150 and 514341, that added together give a palindrome (1948491).

The spelling of 1434150514341 in words is "one trillion, four hundred thirty-four billion, one hundred fifty million, five hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 79 237 711 757 1153 2271 2311 3459 6813 6933 10377 20799 59803 91087 179409 182569 273261 538227 547707 819783 872821 1643121 1749427 2618463 2664583 5248281 7855389 7993749 15744843 23981247 68952859 138204733 206858577 210502057 414614199 620575731 631506171 1243842597 1894518513 2017089331 6051267993 18153803979 159350057149 478050171447 1434150514341