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244344430032100 = 22522443444300321
BaseRepresentation
bin110111100011101011011110…
…111101000111010011100100
31012001011002200110010021122121
4313203223132331013103210
5224011314343042011400
62223402140450435324
7102316205521350316
oct6743533675072344
91161132613107577
10244344430032100
1170945988785a82
12234a3707292b44
13a64577227c998
14444a4952437b6
151d3ae5ccc921a
hexde3adef474e4

244344430032100 has 18 divisors (see below), whose sum is σ = 530227413169874. Its totient is φ = 97737772012800.

The previous prime is 244344430032089. The next prime is 244344430032107. The reversal of 244344430032100 is 1230034443442.

It can be written as a sum of positive squares in 3 ways, for example, as 60611176361124 + 183733253670976 = 7785318^2 + 13554824^2 .

It is not an unprimeable number, because it can be changed into a prime (244344430032107) 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, 1221722150061 + ... + 1221722150260.

Almost surely, 2244344430032100 is an apocalyptic number.

244344430032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244344430032100 is an abundant number, since it is smaller than the sum of its proper divisors (285882983137774).

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

244344430032100 is a wasteful number, since it uses less digits than its factorization.

244344430032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443444300335 (or 2443444300328 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 244344430032100 its reverse (1230034443442), we get a palindrome (245574464475542).

The spelling of 244344430032100 in words is "two hundred forty-four trillion, three hundred forty-four billion, four hundred thirty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2443444300321 4886888600642 9773777201284 12217221501605 24434443003210 48868886006420 61086107508025 122172215016050 244344430032100