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43454845434 = 237112132937613
BaseRepresentation
bin101000011110000111…
…000101000111111010
311011011102221212110210
4220132013011013322
51202443420023214
631543552051550
73065565043320
oct503607050772
9134142855423
1043454845434
111747a144600
128508b33bb6
134136a6c0c0
142163373d10
1511e4e74b59
hexa1e1c51fa

43454845434 has 384 divisors, whose sum is σ = 125119249920. Its totient is φ = 9771632640.

The previous prime is 43454845403. The next prime is 43454845459.

43454845434 is nontrivially palindromic in base 10.

43454845434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70888512 + ... + 70889124.

It is an arithmetic number, because the mean of its divisors is an integer number (325831380).

Almost surely, 243454845434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43454845434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62559624960).

43454845434 is an abundant number, since it is smaller than the sum of its proper divisors (81664404486).

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

43454845434 is a wasteful number, since it uses less digits than its factorization.

43454845434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

It can be divided in two parts, 43454 and 845434, that added together give a palindrome (888888).

The spelling of 43454845434 in words is "forty-three billion, four hundred fifty-four million, eight hundred forty-five thousand, four hundred thirty-four".