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314013240012300 = 223523508929830169
BaseRepresentation
bin100011101100101111110011…
…1101000000010111000001100
31112011211101001121021212001120
41013121133213220002320030
5312124243103420343200
63031503405130440540
7123066464550321453
oct10731374750027014
91464741047255046
10314013240012300
11910662a3751334
122b275a52893150
131062a42438406a
145778471469b9a
152648311cbd9a0
hex11d97e7a02e0c

314013240012300 has 72 divisors (see below), whose sum is σ = 908570897480400. Its totient is φ = 83734474782720.

The previous prime is 314013240012253. The next prime is 314013240012341. The reversal of 314013240012300 is 3210042310413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4388385 + ... + 25441784.

Almost surely, 2314013240012300 is an apocalyptic number.

314013240012300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314013240012300 is an abundant number, since it is smaller than the sum of its proper divisors (594557657468100).

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

314013240012300 is a wasteful number, since it uses less digits than its factorization.

314013240012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29865275 (or 29865268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314013240012300 its reverse (3210042310413), we get a palindrome (317223282322713).

The spelling of 314013240012300 in words is "three hundred fourteen trillion, thirteen billion, two hundred forty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 35089 70178 105267 140356 175445 210534 350890 421068 526335 701780 877225 1052670 1754450 2105340 2631675 3508900 5263350 10526700 29830169 59660338 89490507 119320676 149150845 178981014 298301690 357962028 447452535 596603380 745754225 894905070 1491508450 1789810140 2237262675 2983016900 4474525350 8949050700 1046710800041 2093421600082 3140132400123 4186843200164 5233554000205 6280264800246 10467108000410 12560529600492 15700662000615 20934216000820 26167770001025 31401324001230 52335540002050 62802648002460 78503310003075 104671080004100 157006620006150 314013240012300