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300114430023320 = 2351129146391606663
BaseRepresentation
bin100010000111100111101010…
…1111111100101011010011000
31110100121122210122020001202222
41010033033111333211122120
5303314033323041221240
62542142355452443212
7120133360230562313
oct10417172577453230
91410548718201688
10300114430023320
11876978a6865730
12297b022b479508
13cb5c8916474a3
14541788a10b97a
1524a69e9820eb5
hex110f3d5fe5698

300114430023320 has 128 divisors (see below), whose sum is σ = 762098575104000. Its totient is φ = 105362066234880.

The previous prime is 300114430023311. The next prime is 300114430023367. The reversal of 300114430023320 is 23320034411003.

It is a super-2 number, since 2×3001144300233202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 300114430023320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185990309 + ... + 187596971.

It is an arithmetic number, because the mean of its divisors is an integer number (5953895118000).

Almost surely, 2300114430023320 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 300114430023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381049287552000).

300114430023320 is an abundant number, since it is smaller than the sum of its proper divisors (461984145080680).

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

300114430023320 is a wasteful number, since it uses less digits than its factorization.

300114430023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621353 (or 1621349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 300114430023320 its reverse (23320034411003), we get a palindrome (323434464434323).

The spelling of 300114430023320 in words is "three hundred trillion, one hundred fourteen billion, four hundred thirty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 14639 29278 58556 73195 117112 146390 161029 292780 322058 424531 585560 644116 805145 849062 1288232 1606663 1610290 1698124 2122655 3213326 3220580 3396248 4245310 4669841 6426652 6441160 8033315 8490620 9339682 12853304 16066630 16981240 17673293 18679364 23349205 32133260 35346586 37358728 46593227 46698410 64266520 70693172 88366465 93186454 93396820 141386344 176732930 186372908 186793640 232966135 353465860 372745816 465932270 512525497 706931720 931864540 1025050994 1863729080 2050101988 2562627485 4100203976 5125254970 10250509940 20501019880 23519939657 47039879314 94079758628 117599698285 188159517256 235199396570 258719336227 470398793140 517438672454 682078250053 940797586280 1034877344908 1293596681135 1364156500106 2069754689816 2587193362270 2728313000212 3410391250265 5174386724540 5456626000424 6820782500530 7502860750583 10348773449080 13641565001060 15005721501166 27283130002120 30011443002332 37514303752915 60022886004664 75028607505830 150057215011660 300114430023320