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244400343030 = 23258955754779
BaseRepresentation
bin1110001110011101100…
…1010100011111110110
3212100211200100210211200
43203213121110133312
513001012441434110
6304135335313330
723441316432144
oct3434731243766
9770750323750
10244400343030
1194716693078
123b44921b846
131a07bc248bc
14bb86c56594
1565564116c0
hex38e76547f6

244400343030 has 96 divisors (see below), whose sum is σ = 643746074400. Its totient is φ = 64324271616.

The previous prime is 244400343017. The next prime is 244400343041. The reversal of 244400343030 is 30343004442.

It is a super-3 number, since 3×2444003430303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244400342985 and 244400343003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4434181 + ... + 4488959.

It is an arithmetic number, because the mean of its divisors is an integer number (6705688275).

Almost surely, 2244400343030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244400343030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321873037200).

244400343030 is an abundant number, since it is smaller than the sum of its proper divisors (399345731370).

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

244400343030 is a wasteful number, since it uses less digits than its factorization.

244400343030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55438 (or 55435 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 244400343030 its reverse (30343004442), we get a palindrome (274743347472).

The spelling of 244400343030 in words is "two hundred forty-four billion, four hundred million, three hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 557 801 890 1114 1335 1602 1671 2670 2785 3342 4005 5013 5570 8010 8355 10026 16710 25065 49573 50130 54779 99146 109558 148719 164337 247865 273895 297438 328674 446157 493011 495730 547790 743595 821685 892314 986022 1487190 1643370 2230785 2465055 4461570 4875331 4930110 9750662 14625993 24376655 29251986 30511903 43877979 48753310 61023806 73129965 87755958 91535709 146259930 152559515 183071418 219389895 274607127 305119030 438779790 457678545 549214254 915357090 1373035635 2715559367 2746071270 5431118734 8146678101 13577796835 16293356202 24440034303 27155593670 40733390505 48880068606 81466781010 122200171515 244400343030