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244114030100 = 225223356918413
BaseRepresentation
bin1110001101011001010…
…1000111111000010100
3212100002201121121100002
43203112111013320110
512444421142430400
6304051110510432
723431242006443
oct3432625077024
9770081547302
10244114030100
119458a007a16
123b389365418
131a034809975
14bb5ac06d5a
15653b207ed5
hex38d6547e14

244114030100 has 72 divisors (see below), whose sum is σ = 532964872440. Its totient is φ = 97050388480.

The previous prime is 244114030087. The next prime is 244114030103. The reversal of 244114030100 is 1030411442.

244114030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 173057664004 + 71056366096 = 416002^2 + 266564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244114030103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13248494 + ... + 13266906.

It is an arithmetic number, because the mean of its divisors is an integer number (7402289895).

Almost surely, 2244114030100 is an apocalyptic number.

244114030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244114030100 is an abundant number, since it is smaller than the sum of its proper divisors (288850842340).

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

244114030100 is a wasteful number, since it uses less digits than its factorization.

244114030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 244114030100 its reverse (1030411442), we get a palindrome (245144441542).

The spelling of 244114030100 in words is "two hundred forty-four billion, one hundred fourteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 569 932 1138 1165 2276 2330 2845 4660 5690 5825 11380 11650 14225 18413 23300 28450 36826 56900 73652 92065 132577 184130 265154 368260 460325 530308 662885 920650 1325770 1841300 2651540 3314425 4290229 6628850 8580458 10476997 13257700 17160916 20953994 21451145 41907988 42902290 52384985 85804580 104769970 107255725 209539940 214511450 261924925 429022900 523849850 1047699700 2441140301 4882280602 9764561204 12205701505 24411403010 48822806020 61028507525 122057015050 244114030100