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42443433434424 = 23311237767351481
BaseRepresentation
bin10011010011010001000011…
…10001011101110100111000
312120021112220212000022100210
421221220201301131310320
521030343122424400144
6230134124422431120
711640302563412361
oct1151504161356470
9176245825008323
1042443433434424
1112584182748400
1249159a3b924a0
131a8b524950809
14a6a3b76cab68
154d90b7738ab9
hex269a21c5dd38

42443433434424 has 192 divisors, whose sum is σ = 119801896492320. Its totient is φ = 12512160460800.

The previous prime is 42443433434417. The next prime is 42443433434459.

42443433434424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824422764 + ... + 824474244.

Almost surely, 242443433434424 is an apocalyptic number.

42443433434424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42443433434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59900948246160).

42443433434424 is an abundant number, since it is smaller than the sum of its proper divisors (77358463057896).

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

42443433434424 is a wasteful number, since it uses less digits than its factorization.

42443433434424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59222 (or 59207 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4244343 and 3434424, that added together give a palindrome (7678767).

The spelling of 42443433434424 in words is "forty-two trillion, four hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, four hundred twenty-four".