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447142241744 = 24112540580919
BaseRepresentation
bin1101000000110111100…
…00010010010111010000
31120202011010000101021022
412200123300102113100
524311221403213434
6541225254015012
744206413226022
oct6403360222720
91522133011238
10447142241744
111626a5158370
12727ab047468
133321c30a343
14178db156012
15b97044522e
hex681bc125d0

447142241744 has 20 divisors (see below), whose sum is σ = 945096102240. Its totient is φ = 203246473440.

The previous prime is 447142241701. The next prime is 447142241813.

447142241744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 447142241695 and 447142241704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1270290284 + ... + 1270290635.

It is an arithmetic number, because the mean of its divisors is an integer number (47254805112).

Almost surely, 2447142241744 is an apocalyptic number.

447142241744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

447142241744 is an abundant number, since it is smaller than the sum of its proper divisors (497953860496).

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

447142241744 is a wasteful number, since it uses less digits than its factorization.

447142241744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540580938 (or 2540580932 counting only the distinct ones).

The product of its digits is 802816, while the sum is 44.

It can be divided in two parts, 447142 and 241744, that added together give a palindrome (688886).

The spelling of 447142241744 in words is "four hundred forty-seven billion, one hundred forty-two million, two hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2540580919 5081161838 10162323676 20324647352 27946390109 40649294704 55892780218 111785560436 223571120872 447142241744