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434300434113432 = 23322381147315791
BaseRepresentation
bin110001010111111100111001…
…1000110011110001110011000
32002221201201022222102211222110
41202233321303012132032120
5423411034242113112212
64135402510505552320
7160323112423222215
oct14257716306361630
92087651288384873
10434300434113432
11116421863960447
12408624007a56a0
131584448050ac83
14793637899ab0c
15353223e722a3c
hex18afe7319e398

434300434113432 has 32 divisors (see below), whose sum is σ = 1090619924244480. Its totient is φ = 144117632843040.

The previous prime is 434300434113419. The next prime is 434300434113443. The reversal of 434300434113432 is 234311434003434.

It is a super-2 number, since 2×4343004341134322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40573652544 + ... + 40573663247.

It is an arithmetic number, because the mean of its divisors is an integer number (34081872632640).

Almost surely, 2434300434113432 is an apocalyptic number.

It is an amenable number.

434300434113432 is an abundant number, since it is smaller than the sum of its proper divisors (656319490131048).

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

434300434113432 is a wasteful number, since it uses less digits than its factorization.

434300434113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81147316023 (or 81147316019 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 434300434113432 its reverse (234311434003434), we get a palindrome (668611868116866).

The spelling of 434300434113432 in words is "four hundred thirty-four trillion, three hundred billion, four hundred thirty-four million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 892 1338 1784 2676 5352 81147315791 162294631582 243441947373 324589263164 486883894746 649178526328 973767789492 1947535578984 18095851421393 36191702842786 54287554264179 72383405685572 108575108528358 144766811371144 217150217056716 434300434113432