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434066765231231 = 11536731106300009
BaseRepresentation
bin110001010110010000000101…
…1010110011011010001111111
32002220220101012012012201212222
41202230200023112123101333
5423343222213344344411
64135103304042515555
7160300201042414616
oct14254401326332177
92086811165181788
10434066765231231
1111634175496a770
1240825069505bbb
13158284219a9ac2
147928d2d0b087d
15352b1155084db
hex18ac80b59b47f

434066765231231 has 16 divisors (see below), whose sum is σ = 483178741967520. Its totient is φ = 386585474795520.

The previous prime is 434066765231227. The next prime is 434066765231291. The reversal of 434066765231231 is 132132567660434.

It is not a de Polignac number, because 434066765231231 - 22 = 434066765231227 is a prime.

It is a super-2 number, since 2×4340667652312312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434066765231291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552757646 + ... + 553542363.

It is an arithmetic number, because the mean of its divisors is an integer number (30198671372970).

Almost surely, 2434066765231231 is an apocalyptic number.

434066765231231 is a deficient number, since it is larger than the sum of its proper divisors (49111976736289).

434066765231231 is a wasteful number, since it uses less digits than its factorization.

434066765231231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106300746.

The product of its (nonzero) digits is 13063680, while the sum is 53.

The spelling of 434066765231231 in words is "four hundred thirty-four trillion, sixty-six billion, seven hundred sixty-five million, two hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 11 53 583 673 7403 35669 392359 1106300009 12169300099 58633900477 644972905247 744539906057 8189938966627 39460615021021 434066765231231