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244120413152 = 25721167211247
BaseRepresentation
bin1110001101011010110…
…1011110001111100000
3212100010011121220020102
43203112231132033200
512444424311210102
6304051455401532
723431350163100
oct3432655361740
9770104556212
10244120413152
1194592677670
123b38b5232a8
131a035c33115
14bb5b9c9200
15653ba69402
hex38d6b5e3e0

244120413152 has 144 divisors (see below), whose sum is σ = 619010719488. Its totient is φ = 93691825920.

The previous prime is 244120413107. The next prime is 244120413203. The reversal of 244120413152 is 251314021442.

It is a happy number.

It is a super-2 number, since 2×2441204131522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049993 + ... + 1261239.

It is an arithmetic number, because the mean of its divisors is an integer number (4298685552).

Almost surely, 2244120413152 is an apocalyptic number.

244120413152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244120413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309505359744).

244120413152 is an abundant number, since it is smaller than the sum of its proper divisors (374890306336).

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

244120413152 is a wasteful number, since it uses less digits than its factorization.

244120413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211349 (or 211334 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 244120413152 its reverse (251314021442), we get a palindrome (495434434594).

The spelling of 244120413152 in words is "two hundred forty-four billion, one hundred twenty million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 67 77 88 98 112 134 154 176 196 224 268 308 352 392 469 536 539 616 737 784 938 1072 1078 1232 1474 1568 1876 2144 2156 2464 2948 3283 3752 4312 5159 5896 6566 7504 8624 10318 11792 13132 15008 17248 20636 23584 26264 36113 41272 52528 72226 82544 105056 144452 165088 211247 288904 422494 577808 844988 1155616 1478729 1689976 2323717 2957458 3379952 4647434 5914916 6759904 9294868 10351103 11829832 14153549 16266019 18589736 20702206 23659664 28307098 32532038 37179472 41404412 47319328 56614196 65064076 74358944 82808824 99074843 113228392 113862133 130128152 155689039 165617648 198149686 226456784 227724266 260256304 311378078 331235296 396299372 452913568 455448532 520512608 622756156 693523901 792598744 910897064 1089823273 1245512312 1387047802 1585197488 1821794128 2179646546 2491024624 2774095604 3170394976 3643588256 4359293092 4982049248 5548191208 7628762911 8718586184 11096382416 15257525822 17437172368 22192764832 30515051644 34874344736 61030103288 122060206576 244120413152