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224430142401 = 3261740416017
BaseRepresentation
bin1101000100000100010…
…1000011001111000001
3210110021220220111122100
43101001011003033001
512134113104024101
6251033552501013
722133405506653
oct3210105031701
9713256814570
10224430142401
11871a8a67833
12375b524a769
131821878183a
14ac108ca6d3
155c880cee86
hex34411433c1

224430142401 has 12 divisors (see below), whose sum is σ = 324702288612. Its totient is φ = 149377595136.

The previous prime is 224430142361. The next prime is 224430142427. The reversal of 224430142401 is 104241034422.

224430142401 is a `hidden beast` number, since 2 + 244 + 3 + 0 + 14 + 2 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7521052176 + 216909090225 = 86724^2 + 465735^2 .

It is not a de Polignac number, because 224430142401 - 26 = 224430142337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224430142451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20202456 + ... + 20213561.

It is an arithmetic number, because the mean of its divisors is an integer number (27058524051).

Almost surely, 2224430142401 is an apocalyptic number.

It is an amenable number.

224430142401 is a deficient number, since it is larger than the sum of its proper divisors (100272146211).

224430142401 is a wasteful number, since it uses less digits than its factorization.

224430142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40416640 (or 40416637 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224430142401 its reverse (104241034422), we get a palindrome (328671176823).

The spelling of 224430142401 in words is "two hundred twenty-four billion, four hundred thirty million, one hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 617 1851 5553 40416017 121248051 363744153 24936682489 74810047467 224430142401