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244152251442 = 232112412734129
BaseRepresentation
bin1110001101100010011…
…0111011010000110010
3212100012101112110011100
43203120212323100302
513000010434021232
6304054554025230
723432214616101
oct3433046732062
9770171473140
10244152251442
11945a9643200
123b39a118216
131a03c6cca48
14bb61d16038
15653e757c7c
hex38d89bb432

244152251442 has 72 divisors (see below), whose sum is σ = 595641157020. Its totient is φ = 72180979200.

The previous prime is 244152251429. The next prime is 244152251459.

244152251442 is a `hidden beast` number, since 2 + 4 + 41 + 522 + 51 + 4 + 42 = 666.

244152251442 is nontrivially palindromic in base 10.

244152251442 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 2 ways, for example, as 243948075921 + 204175521 = 493911^2 + 14289^2 .

It is a super-2 number, since 2×2441522514422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244152251397 and 244152251406.

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 35 ways as a sum of consecutive naturals, for example, 1277767 + ... + 1456362.

Almost surely, 2244152251442 is an apocalyptic number.

244152251442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244152251442 is an abundant number, since it is smaller than the sum of its proper divisors (351488905578).

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

244152251442 is a wasteful number, since it uses less digits than its factorization.

244152251442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734200 (or 2734186 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 244152 and 251442, that added together give a palindrome (495594).

The spelling of 244152251442 in words is "two hundred forty-four billion, one hundred fifty-two million, two hundred fifty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1353 2178 2706 4059 4961 8118 9922 14883 29766 44649 89298 2734129 5468258 8202387 16404774 24607161 30075419 49214322 60150838 90226257 112099289 180452514 224198578 270678771 330829609 336297867 541357542 661659218 672595734 992488827 1008893601 1233092179 1984977654 2017787202 2466184358 2977466481 3699276537 5954932962 7398553074 11097829611 13564013969 22195659222 27128027938 40692041907 81384083814 122076125721 244152251442