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4314420202134 = 2374310338476029
BaseRepresentation
bin111110110010000111011…
…110111100101010010110
3120021110021100202220012210
4332302013132330222112
51031141413032432014
613102003422054250
7623464232426220
oct76620736745226
916243240686183
104314420202134
11141380a800199
125981b671a386
13253b042cbc13
1410cb6769b410
1577364601859
hex3ec877bca96

4314420202134 has 128 divisors (see below), whose sum is σ = 10193178378240. Its totient is φ = 1191827032704.

The previous prime is 4314420202117. The next prime is 4314420202187. The reversal of 4314420202134 is 4312020244134.

It is a super-2 number, since 2×43144202021342 (a number of 26 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, 715608232 + ... + 715614260.

It is an arithmetic number, because the mean of its divisors is an integer number (79634206080).

Almost surely, 24314420202134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314420202134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096589189120).

4314420202134 is an abundant number, since it is smaller than the sum of its proper divisors (5878758176106).

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

4314420202134 is a wasteful number, since it uses less digits than its factorization.

4314420202134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4314420202134 its reverse (4312020244134), we get a palindrome (8626440446268).

The spelling of 4314420202134 in words is "four trillion, three hundred fourteen billion, four hundred twenty million, two hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 103 129 206 258 301 309 602 618 721 903 1442 1806 2163 3847 4326 4429 6029 7694 8858 11541 12058 13287 18087 23082 26574 26929 31003 36174 42203 53858 62006 80787 84406 93009 126609 161574 165421 186018 253218 259247 330842 396241 496263 518494 620987 777741 792482 992526 1157947 1188723 1241974 1555482 1814729 1862961 2315894 2377446 2773687 3473841 3629458 3725922 4346909 5444187 5547374 6947682 8321061 8693818 10888374 13040727 16642122 17038363 23193563 26081454 26702441 34076726 46387126 51115089 53404882 69580689 80107323 102230178 119268541 139161378 160214646 162354941 186917087 238537082 324709882 357805623 373834174 487064823 560751261 715611246 974129646 997323209 1121502522 1994646418 2388936989 2991969627 4777873978 5983939254 6981262463 7166810967 13962524926 14333621934 16722558923 20943787389 33445117846 41887574778 50167676769 100335353538 102724290527 205448581054 308172871581 616345743162 719070033689 1438140067378 2157210101067 4314420202134