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43434136312 = 2373724186981
BaseRepresentation
bin101000011100111000…
…000101001011111000
311011002222222201220021
4220130320011023320
51202423114330222
631541532140224
73065224032010
oct503470051370
9134088881807
1043434136312
111746948a526
128502007674
13413269ac98
142160702c40
1511e3233ac7
hexa1ce052f8

43434136312 has 64 divisors (see below), whose sum is σ = 95986376640. Its totient is φ = 18036172800.

The previous prime is 43434136309. The next prime is 43434136313. The reversal of 43434136312 is 21363143434.

It is a super-2 number, since 2×434341363122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43434136313) 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, 455862 + ... + 542842.

It is an arithmetic number, because the mean of its divisors is an integer number (1499787135).

Almost surely, 243434136312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43434136312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47993188320).

43434136312 is an abundant number, since it is smaller than the sum of its proper divisors (52552240328).

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

43434136312 is a wasteful number, since it uses less digits than its factorization.

43434136312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87272 (or 87268 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

Adding to 43434136312 its reverse (21363143434), we get a palindrome (64797279746).

The spelling of 43434136312 in words is "forty-three billion, four hundred thirty-four million, one hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 241 259 296 482 518 964 1036 1687 1928 2072 3374 6748 8917 13496 17834 35668 62419 71336 86981 124838 173962 249676 347924 499352 608867 695848 1217734 2435468 3218297 4870936 6436594 12873188 20962421 22528079 25746376 41924842 45056158 83849684 90112316 146736947 167699368 180224632 293473894 586947788 775609577 1173895576 1551219154 3102438308 5429267039 6204876616 10858534078 21717068156 43434136312