Search a number
-
+
420314340300 = 223524332582507
BaseRepresentation
bin1100001110111001010…
…11111101101111001100
31111011220102120210001220
412013130223331233030
523341300432342200
6521031215003340
742236531641641
oct6073453755714
91434812523056
10420314340300
1115228853a998
1269562509550
133083519504a
14164b4111dc8
15ae000574a0
hex61dcafdbcc

420314340300 has 72 divisors (see below), whose sum is σ = 1244391145536. Its totient is φ = 109477220160.

The previous prime is 420314340287. The next prime is 420314340307. The reversal of 420314340300 is 3043413024.

It is not an unprimeable number, because it can be changed into a prime (420314340307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16278354 + ... + 16304153.

Almost surely, 2420314340300 is an apocalyptic number.

It is an amenable number.

420314340300 is an abundant number, since it is smaller than the sum of its proper divisors (824076805236).

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

420314340300 is a wasteful number, since it uses less digits than its factorization.

420314340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32582567 (or 32582560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 420314340300 its reverse (3043413024), we get a palindrome (423357753324).

The spelling of 420314340300 in words is "four hundred twenty billion, three hundred fourteen million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 32582507 65165014 97747521 130330028 162912535 195495042 325825070 390990084 488737605 651650140 814562675 977475210 1401047801 1629125350 1954950420 2443688025 2802095602 3258250700 4203143403 4887376050 5604191204 7005239005 8406286806 9774752100 14010478010 16812573612 21015717015 28020956020 35026195025 42031434030 70052390050 84062868060 105078585075 140104780100 210157170150 420314340300