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30442104414100 = 2252304421044141
BaseRepresentation
bin1101110101111110110101…
…10100011101111110010100
310222210020101121010222102101
412322333122310131332110
512442230412212222400
6144424524255051444
76261240504041131
oct672773264357624
9128706347128371
1030442104414100
1197774733549a5
1234b7a73210b84
1313ca8a7b04b92
147735973d5588
1537bd07ce456a
hex1bafdad1df94

30442104414100 has 18 divisors (see below), whose sum is σ = 66059366578814. Its totient is φ = 12176841765600.

The previous prime is 30442104414079. The next prime is 30442104414109. The reversal of 30442104414100 is 141440124403.

It can be written as a sum of positive squares in 3 ways, for example, as 274789833616 + 30167314580484 = 524204^2 + 5492478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442104414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152210521971 + ... + 152210522170.

Almost surely, 230442104414100 is an apocalyptic number.

It is an amenable number.

30442104414100 is an abundant number, since it is smaller than the sum of its proper divisors (35617262164714).

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

30442104414100 is a wasteful number, since it uses less digits than its factorization.

30442104414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304421044155 (or 304421044148 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 30442104414100 its reverse (141440124403), we get a palindrome (30583544538503).

The spelling of 30442104414100 in words is "thirty trillion, four hundred forty-two billion, one hundred four million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 304421044141 608842088282 1217684176564 1522105220705 3044210441410 6088420882820 7610526103525 15221052207050 30442104414100