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244013502132 = 22347961715451
BaseRepresentation
bin1110001101000001010…
…1101000111010110100
3212022211201110020220000
43203100111220322310
512444214424032012
6304033120111300
723425611355131
oct3432025507264
9768751406800
10244013502132
1194538295854
123b35b765530
131a019a3ca6a
14bb4b719588
15653249bddc
hex38d0568eb4

244013502132 has 120 divisors (see below), whose sum is σ = 647063007360. Its totient is φ = 80172892800.

The previous prime is 244013502113. The next prime is 244013502133. The reversal of 244013502132 is 231205310442.

244013502132 is a `hidden beast` number, since 2 + 440 + 1 + 3 + 5 + 0 + 213 + 2 = 666.

It is a super-4 number, since 4×2440135021324 (a number of 47 digits) contains 4444 as substring.

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 = 244013502096 and 244013502105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244013502133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15785007 + ... + 15800457.

It is an arithmetic number, because the mean of its divisors is an integer number (5392191728).

Almost surely, 2244013502132 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 244013502132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323531503680).

244013502132 is an abundant number, since it is smaller than the sum of its proper divisors (403049505228).

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

244013502132 is a wasteful number, since it uses less digits than its factorization.

244013502132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16163 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 244013502132 its reverse (231205310442), we get a palindrome (475218812574).

The spelling of 244013502132 in words is "two hundred forty-four billion, thirteen million, five hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 617 711 948 1234 1422 1851 2133 2468 2844 3702 4266 5553 6399 7404 8532 11106 12798 15451 16659 22212 25596 30902 33318 46353 48743 49977 61804 66636 92706 97486 99954 139059 146229 185412 194972 199908 278118 292458 417177 438687 556236 584916 834354 877374 1220629 1251531 1316061 1668708 1754748 2441258 2503062 2632122 3661887 3948183 4882516 5006124 5264244 7323774 7896366 9533267 10985661 14647548 15792732 19066534 21971322 28599801 32956983 38133068 43942644 57199602 65913966 85799403 98870949 114399204 131827932 171598806 197741898 257398209 343197612 395483796 514796418 753128093 772194627 1029592836 1506256186 1544389254 2259384279 3012512372 3088778508 4518768558 6778152837 9037537116 13556305674 20334458511 27112611348 40668917022 61003375533 81337834044 122006751066 244013502132