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144102412332 = 223224731618619
BaseRepresentation
bin1000011000110100101…
…1000101000000101100
3111202221202010000111200
42012031023011000230
54330110204143312
6150111050445500
713260664203054
oct2061513050054
9452852100450
10144102412332
115612806725a
1223b17733890
1310786790208
146d90400564
153b35e760dc
hex218d2c502c

144102412332 has 36 divisors (see below), whose sum is σ = 364406395080. Its totient is φ = 48014684352.

The previous prime is 144102412283. The next prime is 144102412339. The reversal of 144102412332 is 233214201441.

144102412332 is a `hidden beast` number, since 1 + 4 + 410 + 241 + 2 + 3 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144102412296 and 144102412305.

It is not an unprimeable number, because it can be changed into a prime (144102412339) 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, 720282 + ... + 898337.

Almost surely, 2144102412332 is an apocalyptic number.

144102412332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144102412332 is an abundant number, since it is smaller than the sum of its proper divisors (220303982748).

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

144102412332 is a wasteful number, since it uses less digits than its factorization.

144102412332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621102 (or 1621097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144102412332 its reverse (233214201441), we get a palindrome (377316613773).

The spelling of 144102412332 in words is "one hundred forty-four billion, one hundred two million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2473 4946 7419 9892 14838 22257 29676 44514 89028 1618619 3237238 4855857 6474476 9711714 14567571 19423428 29135142 58270284 4002844787 8005689574 12008534361 16011379148 24017068722 36025603083 48034137444 72051206166 144102412332