Search a number
-
+
44242124141310 = 2355376956836367
BaseRepresentation
bin10100000111100111011000…
…00101111111001011111110
312210122111122200220111022220
422003303230011333023332
521244330332240010220
6234032315022550210
712214250036226354
oct1203635405771376
9183574580814286
1044242124141310
1113107a85762767
124b66505a38366
131b8c025855b64
14acd48a2397d4
1551ac8c368540
hex283cec17f2fe

44242124141310 has 128 divisors (see below), whose sum is σ = 108361274757120. Its totient is φ = 11556395974656.

The previous prime is 44242124141227. The next prime is 44242124141353. The reversal of 44242124141310 is 1314142124244.

It is a super-2 number, since 2×442421241413102 (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 6948657747 + ... + 6948664113.

It is an arithmetic number, because the mean of its divisors is an integer number (846572459040).

Almost surely, 244242124141310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44242124141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54180637378560).

44242124141310 is an abundant number, since it is smaller than the sum of its proper divisors (64119150615810).

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

44242124141310 is a wasteful number, since it uses less digits than its factorization.

44242124141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 44242124141310 its reverse (1314142124244), we get a palindrome (45556266265554).

The spelling of 44242124141310 in words is "forty-four trillion, two hundred forty-two billion, one hundred twenty-four million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 769 795 1538 1590 2307 3845 4614 5683 6367 7690 11366 11535 12734 17049 19101 23070 28415 31835 34098 38202 40757 56830 63670 81514 85245 95505 122271 170490 191010 203785 244542 301199 337451 407570 602398 611355 674902 903597 1012353 1222710 1505995 1687255 1807194 2024706 3011990 3374510 4370227 4517985 4896223 5061765 8740454 9035970 9792446 10123530 13110681 14688669 21851135 24481115 26221362 29377338 36183661 43702270 48962230 65553405 72367322 73443345 108550983 131106810 146886690 180918305 217101966 231622031 259499819 361836610 463244062 518999638 542754915 694866093 778499457 1085509830 1158110155 1297499095 1389732186 1556998914 1917734033 2316220310 2594998190 3474330465 3835468066 3892497285 5753202099 6948660930 7784994570 9588670165 11506404198 19177340330 27825235309 28766010495 55650470618 57532020990 83475705927 139126176545 166951411854 278252353090 417378529635 834757059270 1474737471377 2949474942754 4424212414131 7373687356885 8848424828262 14747374713770 22121062070655 44242124141310