Search a number
-
+
431400310304030 = 252359791013984301
BaseRepresentation
bin110001000010110110011011…
…0010000000110110100011110
32002120110110121100211202012122
41202011230312100012310132
5423021030313414212110
64125302322215502542
7156603433564455224
oct14205546620066436
92076413540752178
10431400310304030
11115503931646a51
124047432b087a52
1315693b4a95ba02
147875c5a4d6b14
1534d1aa340e255
hex1885b36406d1e

431400310304030 has 128 divisors (see below), whose sum is σ = 842708559974400. Its totient is φ = 158619764160000.

The previous prime is 431400310304003. The next prime is 431400310304057. The reversal of 431400310304030 is 30403013004134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431400310304003) and next prime (431400310304057).

It is a super-2 number, since 2×4314003103040302 (a number of 30 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, 106282880 + ... + 110267180.

It is an arithmetic number, because the mean of its divisors is an integer number (6583660624800).

Almost surely, 2431400310304030 is an apocalyptic number.

431400310304030 is a deficient number, since it is larger than the sum of its proper divisors (411308249670370).

431400310304030 is a wasteful number, since it uses less digits than its factorization.

431400310304030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984570.

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

Adding to 431400310304030 its reverse (30403013004134), we get a palindrome (461803323308164).

The spelling of 431400310304030 in words is "four hundred thirty-one trillion, four hundred billion, three hundred ten million, three hundred four thousand, thirty".

Divisors: 1 2 5 10 23 46 59 79 101 115 118 158 202 230 295 395 505 590 790 1010 1357 1817 2323 2714 3634 4646 4661 5959 6785 7979 9085 9322 11615 11918 13570 15958 18170 23230 23305 29795 39895 46610 59590 79790 107203 137057 183517 214406 274114 367034 470761 536015 685285 917585 941522 1072030 1370570 1835170 2353805 3984301 4707610 7968602 10827503 19921505 21655006 39843010 54137515 91638923 108275030 183277846 235073759 314759779 402414401 458194615 470147518 629519558 804828802 916389230 1175368795 1573798895 2012072005 2350737590 3147597790 4024144010 5406696457 7239474917 9255531223 10813392914 14478949834 18511062446 18570826961 23742449659 27033482285 31790737679 36197374585 37141653922 46277656115 47484899318 54066964570 63581475358 72394749170 92555312230 92854134805 118712248295 158953688395 185708269610 237424496590 317907376790 427129020103 546076342157 731186966617 854258040206 1092152684314 1462373933234 1875653523061 2135645100515 2730381710785 3655934833085 3751307046122 4271290201030 5460763421570 7311869666170 9378267615305 18756535230610 43140031030403 86280062060806 215700155152015 431400310304030