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434204520440433 = 317731374373194671
BaseRepresentation
bin110001010111010000001111…
…0001100110110001001110001
32002221101112202120221102120020
41202232200132030312021301
5423403001324213043213
64135250445235034053
7160313145535364421
oct14256403614661161
92087345676842506
10434204520440433
111163951151112a6
12408478b343b929
1315838406487102
14793187a522481
15352e9c9111923
hex18ae81e336271

434204520440433 has 64 divisors (see below), whose sum is σ = 626073860846592. Its totient is φ = 266686213570560.

The previous prime is 434204520440423. The next prime is 434204520440459. The reversal of 434204520440433 is 334044025402434.

It is not a de Polignac number, because 434204520440433 - 214 = 434204520424049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434204520440413) 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 63 ways as a sum of consecutive naturals, for example, 2230355688 + ... + 2230550358.

It is an arithmetic number, because the mean of its divisors is an integer number (9782404075728).

Almost surely, 2434204520440433 is an apocalyptic number.

It is an amenable number.

434204520440433 is a deficient number, since it is larger than the sum of its proper divisors (191869340406159).

434204520440433 is a wasteful number, since it uses less digits than its factorization.

434204520440433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199274.

The product of its (nonzero) digits is 2211840, while the sum is 42.

Adding to 434204520440433 its reverse (334044025402434), we get a palindrome (768248545842867).

The spelling of 434204520440433 in words is "four hundred thirty-four trillion, two hundred four billion, five hundred twenty million, four hundred forty thousand, four hundred thirty-three".

Divisors: 1 3 17 51 73 137 219 411 1241 2329 3723 4373 6987 10001 13119 30003 74341 170017 194671 223023 319229 510051 584013 599101 957687 1797303 3309407 5426893 9928221 10184717 14210983 16280679 26669927 30554151 42632949 43734373 80009781 131203119 241586711 453388759 724760133 743484341 851296283 1360166277 1946904671 2230453023 2553888849 5840714013 14472036811 33097379407 43416110433 62144628659 99292138221 116627590771 186433885977 349882772313 1056458687203 1982669043107 3169376061609 5948007129321 8513814126283 25541442378849 144734840146811 434204520440433