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4414230324144 = 243230654377251
BaseRepresentation
bin100000000111100010010…
…1000010110001110110000
3120121222220022010102211100
41000033010220112032300
51034310320430333034
613215511443244400
7633626512445454
oct100170450261660
916558808112740
104414230324144
111452078a37133
125b3610979700
1326034c689604
14113915412664
1579c56d31099
hex403c4a163b0

4414230324144 has 30 divisors (see below), whose sum is σ = 12353714032556. Its totient is φ = 1471410108000.

The previous prime is 4414230324131. The next prime is 4414230324149.

4414230324144 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 230 + 3 + 2 + 414 + 4 = 666.

4414230324144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4414230324099 and 4414230324108.

It is not an unprimeable number, because it can be changed into a prime (4414230324149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15327188482 + ... + 15327188769.

Almost surely, 24414230324144 is an apocalyptic number.

It is an amenable number.

4414230324144 is an abundant number, since it is smaller than the sum of its proper divisors (7939483708412).

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

4414230324144 is a wasteful number, since it uses less digits than its factorization.

4414230324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30654377265 (or 30654377256 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4414230 and 324144, that added together give a palindrome (4738374).

The spelling of 4414230324144 in words is "four trillion, four hundred fourteen billion, two hundred thirty million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30654377251 61308754502 91963131753 122617509004 183926263506 245235018008 275889395259 367852527012 490470036016 551778790518 735705054024 1103557581036 1471410108048 2207115162072 4414230324144