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244212014232 = 233319325123339
BaseRepresentation
bin1110001101110000101…
…0111001110010011000
3212100100112222201022000
43203130022321302120
513000121233423412
6304104531001000
723433541604454
oct3433412716230
9770315881260
10244212014232
119462a35193a
123b3b6139160
131a04bbc5a44
14bb69c31664
156544b104dc
hex38dc2b9c98

244212014232 has 128 divisors (see below), whose sum is σ = 684627552000. Its totient is φ = 80656128000.

The previous prime is 244212014227. The next prime is 244212014237. The reversal of 244212014232 is 232410212442.

It is a happy number.

244212014232 is a `hidden beast` number, since 2 + 4 + 421 + 2 + 0 + 1 + 4 + 232 = 666.

244212014232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244212014227) and next prime (244212014237).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 244212014196 and 244212014205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244212014237) 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 31 ways as a sum of consecutive naturals, for example, 10452019 + ... + 10475357.

It is an arithmetic number, because the mean of its divisors is an integer number (5348652750).

Almost surely, 2244212014232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244212014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342313776000).

244212014232 is an abundant number, since it is smaller than the sum of its proper divisors (440415537768).

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

244212014232 is a wasteful number, since it uses less digits than its factorization.

244212014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23798 (or 23788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244212014232 its reverse (232410212442), we get a palindrome (476622226674).

The spelling of 244212014232 in words is "two hundred forty-four billion, two hundred twelve million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 251 386 502 579 753 772 1004 1158 1506 1544 1737 2008 2259 2316 3012 3474 4518 4632 5211 6024 6777 6948 9036 10422 13554 13896 18072 20844 23339 27108 41688 46678 48443 54216 70017 93356 96886 140034 145329 186712 193772 210051 280068 290658 387544 420102 435987 560136 581316 630153 840204 871974 1162632 1260306 1307961 1680408 1743948 2520612 2615922 3487896 4504427 5041224 5231844 5858089 9008854 10463688 11716178 13513281 17574267 18017708 23432356 27026562 35148534 36035416 40539843 46864712 52722801 54053124 70297068 81079686 105445602 108106248 121619529 140594136 158168403 162159372 210891204 243239058 316336806 324318744 421782408 486478116 632673612 972956232 1130611177 1265347224 2261222354 3391833531 4522444708 6783667062 9044889416 10175500593 13567334124 20351001186 27134668248 30526501779 40702002372 61053003558 81404004744 122106007116 244212014232