Search a number
-
+
432311234030 = 2513172310977753
BaseRepresentation
bin1100100101001111100…
…00011110110111101110
31112022212111212010102022
412102213300132313232
524040333133442110
6530333454030142
743143034600334
oct6224760366756
91468774763368
10432311234030
1115738446a7a5
126b9501a8352
13319c77aca30
1416cd1561b54
15b3a33b2755
hex64a7c1edee

432311234030 has 128 divisors (see below), whose sum is σ = 926856338688. Its totient is φ = 143551660032.

The previous prime is 432311233973. The next prime is 432311234039. The reversal of 432311234030 is 30432113234.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432311234039) 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 63 ways as a sum of consecutive naturals, for example, 55756634 + ... + 55764386.

It is an arithmetic number, because the mean of its divisors is an integer number (7241065146).

Almost surely, 2432311234030 is an apocalyptic number.

432311234030 is an abundant number, since it is smaller than the sum of its proper divisors (494545104658).

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

432311234030 is a wasteful number, since it uses less digits than its factorization.

432311234030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910.

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

Adding to 432311234030 its reverse (30432113234), we get a palindrome (462743347264).

The spelling of 432311234030 in words is "four hundred thirty-two billion, three hundred eleven million, two hundred thirty-four thousand, thirty".

Divisors: 1 2 5 10 13 17 23 26 34 46 65 85 115 130 170 221 230 299 391 442 598 782 1097 1105 1495 1955 2194 2210 2990 3910 5083 5485 7753 10166 10970 14261 15506 18649 25231 25415 28522 37298 38765 50462 50830 71305 77530 93245 100789 126155 131801 142610 178319 186490 201578 242437 252310 263602 328003 356638 428927 484874 503945 656006 659005 857854 891595 1007890 1212185 1318010 1640015 1713413 1783190 2144635 2318147 2424370 3031423 3280030 3426826 4289270 4636294 5576051 6062846 8505041 8567065 11152102 11590735 15157115 17010082 17134130 23181470 27880255 30314230 39408499 42525205 55760510 78816998 85050410 110565533 144585697 195615943 197042495 221131066 289171394 391231886 394084990 552827665 722928485 978079715 1105655330 1445856970 1879614061 1956159430 2543007259 3325471031 3759228122 5086014518 6650942062 9398070305 12715036295 16627355155 18796140610 25430072590 33254710310 43231123403 86462246806 216155617015 432311234030