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43412222221434 = 2321137123114533313
BaseRepresentation
bin10011101111011101100100…
…00101011001110001111010
312200201011112102000211121100
421313232302011121301322
521142231212342041214
6232155144412352230
712100300223263353
oct1167566205316172
9180634472024540
1043412222221434
1112918024764aa0
124a516b5475676
131b2b9a7935091
14aa123c8bad2a
155043b8d73309
hex277bb2159c7a

43412222221434 has 192 divisors, whose sum is σ = 105574022281728. Its totient is φ = 12776614963200.

The previous prime is 43412222221351. The next prime is 43412222221439.

43412222221434 is a `hidden beast` number, since 4 + 3 + 412 + 2 + 2 + 22 + 214 + 3 + 4 = 666.

43412222221434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (43412222221439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103596962 + ... + 13103600274.

It is an arithmetic number, because the mean of its divisors is an integer number (549864699384).

Almost surely, 243412222221434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43412222221434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52787011140864).

43412222221434 is an abundant number, since it is smaller than the sum of its proper divisors (62161800060294).

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

43412222221434 is a wasteful number, since it uses less digits than its factorization.

43412222221434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6050 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4341222 and 2221434, that added together give a palindrome (6562656).

The spelling of 43412222221434 in words is "forty-three trillion, four hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, four hundred thirty-four".