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300444414114 = 231331434576323
BaseRepresentation
bin1000101111100111110…
…00011111000010100010
31001201111111011121022010
410113303320133002202
514410302232222424
6350004450253350
730464202245325
oct4276370370242
91051444147263
10300444414114
11106466048199
124a28a287256
1322440c20c40
14107821887bc
157c366e7229
hex45f3e1f0a2

300444414114 has 128 divisors (see below), whose sum is σ = 685124149248. Its totient is φ = 87176839680.

The previous prime is 300444414113. The next prime is 300444414139. The reversal of 300444414114 is 411414444003.

It is not an unprimeable number, because it can be changed into a prime (300444414113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47512957 + ... + 47519279.

It is an arithmetic number, because the mean of its divisors is an integer number (5352532416).

Almost surely, 2300444414114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300444414114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342562074624).

300444414114 is an abundant number, since it is smaller than the sum of its proper divisors (384679735134).

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

300444414114 is a wasteful number, since it uses less digits than its factorization.

300444414114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 300444414114 its reverse (411414444003), we get a palindrome (711858858117).

The spelling of 300444414114 in words is "three hundred billion, four hundred forty-four million, four hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 258 403 457 559 806 914 1118 1209 1333 1371 1677 2418 2666 2742 3354 3999 5941 6323 7998 11882 12646 14167 17329 17823 18969 19651 28334 34658 35646 37938 39302 42501 51987 58953 82199 85002 103974 117906 164398 184171 196013 246597 255463 271889 368342 392026 493194 510926 543778 552513 588039 609181 766389 815667 1105026 1176078 1218362 1532778 1631334 1827543 2548169 2889611 3534557 3655086 5096338 5779222 7069114 7644507 7919353 8428559 8668833 10603671 15289014 15838706 16857118 17337666 21207342 23758059 25285677 37564943 47516118 50571354 75129886 89577941 109571267 112694829 124253273 179155882 219142534 225389658 248506546 268733823 328713801 372759819 537467646 657427602 745519638 1164513233 1615292549 2329026466 3230585098 3493539699 3851851463 4845877647 6987079398 7703702926 9691755294 11555554389 23111108778 50074069019 100148138038 150222207057 300444414114