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30343144144 = 2417111555677
BaseRepresentation
bin11100010000100101…
…111010001011010000
32220022122222102122111
4130100211322023100
5444120321103034
621534530515104
72122634320045
oct342045721320
986278872574
1030343144144
1111960a06335
125a69a35a94
132b274ba881
14167bc4d1cc
15bc8d0b364
hex71097a2d0

30343144144 has 20 divisors (see below), whose sum is σ = 62248068324. Its totient is φ = 14279126528.

The previous prime is 30343144129. The next prime is 30343144147. The reversal of 30343144144 is 44144134303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27692953744 + 2650190400 = 166412^2 + 51480^2 .

It is a super-2 number, since 2×303431441442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30343144147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55777567 + ... + 55778110.

Almost surely, 230343144144 is an apocalyptic number.

30343144144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30343144144 is an abundant number, since it is smaller than the sum of its proper divisors (31904924180).

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

30343144144 is a wasteful number, since it uses less digits than its factorization.

30343144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111555702 (or 111555696 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 30343144144 its reverse (44144134303), we get a palindrome (74487278447).

The spelling of 30343144144 in words is "thirty billion, three hundred forty-three million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 111555677 223111354 446222708 892445416 1784890832 1896446509 3792893018 7585786036 15171572072 30343144144