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127740041301800 = 23523061208657369
BaseRepresentation
bin11101000010110111001011…
…110010010000111100101000
3121202021211101010000021222102
4131002313023302100330220
5113220343101033124200
61131402544223512532
735622625206551204
oct3502671362207450
9552254333007872
10127740041301800
113777a27a158904
12123b0a61458748
135637aac9a5a05
142378918449b04
15eb7c293516d5
hex742dcbc90f28

127740041301800 has 48 divisors (see below), whose sum is σ = 297092623127100. Its totient is φ = 51079323686400.

The previous prime is 127740041301799. The next prime is 127740041301833. The reversal of 127740041301800 is 8103140047721.

127740041301800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 117725234215876 + 10014807085924 = 10850126^2 + 3164618^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103716485 + ... + 104940884.

Almost surely, 2127740041301800 is an apocalyptic number.

127740041301800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127740041301800 is an abundant number, since it is smaller than the sum of its proper divisors (169352581825300).

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

127740041301800 is a wasteful number, since it uses less digits than its factorization.

127740041301800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208660446 (or 208660437 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 127740041301800 in words is "one hundred twenty-seven trillion, seven hundred forty billion, forty-one million, three hundred one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3061 6122 12244 15305 24488 30610 61220 76525 122440 153050 306100 612200 208657369 417314738 834629476 1043286845 1669258952 2086573690 4173147380 5216434225 8346294760 10432868450 20865736900 41731473800 638700206509 1277400413018 2554800826036 3193501032545 5109601652072 6387002065090 12774004130180 15967505162725 25548008260360 31935010325450 63870020650900 127740041301800