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434134202312223 = 327157134571268843
BaseRepresentation
bin110001010110101111011111…
…0111010011110011000011111
32002221010211020222222101211100
41202231132332322132120133
5423400323321242442343
64135154255501324143
7160305106146223320
oct14255367672363037
92087124228871740
10434134202312223
11116368310393856
1240836149b66653
13158318ab16551a
14792c2c9578447
15352cc60b109d3
hex18ad7bee9e61f

434134202312223 has 48 divisors (see below), whose sum is σ = 717330175301376. Its totient is φ = 247846866647040.

The previous prime is 434134202312201. The next prime is 434134202312249. The reversal of 434134202312223 is 322213202431434.

434134202312223 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 3 + 420 + 2 + 3 + 1 + 2 + 223 = 666.

It is not a de Polignac number, because 434134202312223 - 225 = 434134168757791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134202312263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341515240 + ... + 342784082.

It is an arithmetic number, because the mean of its divisors is an integer number (14944378652112).

Almost surely, 2434134202312223 is an apocalyptic number.

434134202312223 is a deficient number, since it is larger than the sum of its proper divisors (283195972989153).

434134202312223 is a wasteful number, since it uses less digits than its factorization.

434134202312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273884 (or 1273881 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 434134202312223 its reverse (322213202431434), we get a palindrome (756347404743657).

The spelling of 434134202312223 in words is "four hundred thirty-four trillion, one hundred thirty-four billion, two hundred two million, three hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 63 1571 3457 4713 10371 10997 14139 24199 31113 32991 72597 98973 217791 1268843 3806529 5430947 8881901 11419587 16292841 26645703 38016629 48878523 79937109 114049887 342149661 1993352353 4386390251 5980057059 13159170753 13953466471 17940171177 30704731757 39477512259 41860399413 92114195271 125581198239 276342585813 6891019084321 20673057252963 48237133590247 62019171758889 144711400770741 434134202312223