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430034310243141 = 3192910723914816869
BaseRepresentation
bin110000111000111010010101…
…0010011011010001101000101
32002101121212201110201211000220
41201301310222103122031011
5422331140231410240031
64122335011305454553
7156402645044515122
oct14161645223321505
92071555643654026
10430034310243141
1111502758818519a
12402936444a1459
13155c50a5019a06
147829ab3671749
1534ab2a513a596
hex1871d2a4da345

430034310243141 has 128 divisors (see below), whose sum is σ = 633360798720000. Its totient is φ = 258485006223360.

The previous prime is 430034310243121. The next prime is 430034310243143. The reversal of 430034310243141 is 141342013430034.

It is not a de Polignac number, because 430034310243141 - 29 = 430034310242629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430034310243143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62605078855 + ... + 62605085723.

It is an arithmetic number, because the mean of its divisors is an integer number (4948131240000).

Almost surely, 2430034310243141 is an apocalyptic number.

It is an amenable number.

430034310243141 is a deficient number, since it is larger than the sum of its proper divisors (203326488476859).

430034310243141 is a wasteful number, since it uses less digits than its factorization.

430034310243141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 430034310243141 its reverse (141342013430034), we get a palindrome (571376323673175).

The spelling of 430034310243141 in words is "four hundred thirty trillion, thirty-four billion, three hundred ten million, two hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 19 29 57 87 107 239 321 551 717 1481 1653 2033 3103 4443 4541 6099 6869 6931 9309 13623 20607 20793 25573 28139 42949 58957 76719 84417 128847 130511 131689 158467 176871 199201 353959 391533 395067 475401 485887 597603 734983 741617 816031 1061877 1457661 1641691 2204949 2224851 2448093 3010873 3784819 4595543 4925073 6725221 9032619 10172989 10264811 11354457 13786629 13964677 14090723 20175663 21314507 30518967 30794433 31192129 37873613 41894031 42272169 47609039 63943521 87315317 93576387 113620839 142827117 175660937 193286791 195031409 261945951 295016681 404975633 526982811 579860373 585094227 719598647 885050043 904571741 1088509823 1098334777 1214926899 2158795941 2431344371 2713715223 3265529469 3295004331 3337557803 5094167173 5605316939 7294033113 10012673409 15282501519 16815950817 20681686637 20868360763 31566784867 46195543049 62045059911 62605082289 70508986759 94700354601 96789176287 138586629147 211526960277 260153847697 290367528861 599768912473 780461543091 1339670748421 1799306737419 4019012245263 4942923106243 7544461583213 14828769318729 22633384749639 143344770081047 430034310243141