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244144242100 = 225211221949311
BaseRepresentation
bin1110001101100000100…
…0010111110110110100
3212100011211110112102001
43203120020113312310
513000001411221400
6304054110225044
723432056550203
oct3433010276664
9770154415361
10244144242100
11945a5072710
123b3974b5184
131a03ab572a5
14bb60c2d23a
15653dbc4a6a
hex38d8217db4

244144242100 has 36 divisors (see below), whose sum is σ = 577956008448. Its totient is φ = 88779724000.

The previous prime is 244144242077. The next prime is 244144242137. The reversal of 244144242100 is 1242441442.

It is a happy number.

244144242100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110973556 + ... + 110975755.

It is an arithmetic number, because the mean of its divisors is an integer number (16054333568).

Almost surely, 2244144242100 is an apocalyptic number.

244144242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244144242100 is an abundant number, since it is smaller than the sum of its proper divisors (333811766348).

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

244144242100 is a wasteful number, since it uses less digits than its factorization.

244144242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221949336 (or 221949329 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 244144242100 its reverse (1242441442), we get a palindrome (245386683542).

The spelling of 244144242100 in words is "two hundred forty-four billion, one hundred forty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 221949311 443898622 887797244 1109746555 2219493110 2441442421 4438986220 4882884842 5548732775 9765769684 11097465550 12207212105 22194931100 24414424210 48828848420 61036060525 122072121050 244144242100