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434214341124032 = 267412576578489
BaseRepresentation
bin110001010111010100110011…
…1100011110001111111000000
32002221102111010000021211211102
41202232221213203301333000
5423403131432311432112
64135255151534233532
7160313644104666140
oct14256514743617700
92087374100254742
10434214341124032
111163992a4690237
12408497943558a8
131583930cc7c8b1
14793212c928920
15352eda139dbc2
hex18aea678f1fc0

434214341124032 has 84 divisors (see below), whose sum is σ = 1009339854082320. Its totient is φ = 181553034301440.

The previous prime is 434214341124029. The next prime is 434214341124037. The reversal of 434214341124032 is 230421143412434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434214341124037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287536157 + ... + 289042332.

Almost surely, 2434214341124032 is an apocalyptic number.

It is an amenable number.

434214341124032 is an abundant number, since it is smaller than the sum of its proper divisors (575125512958288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434214341124032 is an equidigital number, since it uses as much as digits as its factorization.

434214341124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576578590 (or 576578539 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 434214341124032 its reverse (230421143412434), we get a palindrome (664635484536466).

The spelling of 434214341124032 in words is "four hundred thirty-four trillion, two hundred fourteen billion, three hundred forty-one million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 1681 2296 2624 3362 4592 6724 9184 11767 13448 18368 23534 26896 47068 53792 94136 107584 188272 376544 753088 576578489 1153156978 2306313956 4036049423 4612627912 8072098846 9225255824 16144197692 18450511648 23639718049 32288395384 36901023296 47279436098 64576790768 94558872196 129153581536 165478026343 189117744392 258307163072 330956052686 378235488784 661912105372 756470977568 969228440009 1323824210744 1512941955136 1938456880018 2647648421488 3876913760036 5295296842976 6784599080063 7753827520072 10590593685952 13569198160126 15507655040144 27138396320252 31015310080288 54276792640504 62030620160576 108553585281008 217107170562016 434214341124032