Search a number
-
+
431279034208 = 251147131198997
BaseRepresentation
bin1100100011010100011…
…10111100111101100000
31112020012120120221110021
412101222032330331200
524031224413043313
6530043222243224
743105332206401
oct6215216747540
91466176527407
10431279034208
111569a48537a0
126b702586514
13318919aa4c9
1416c344319a8
15b34297078d
hex646a3bcf60

431279034208 has 96 divisors (see below), whose sum is σ = 953203603968. Its totient is φ = 190399372800.

The previous prime is 431279034191. The next prime is 431279034217. The reversal of 431279034208 is 802430972134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2067766 + ... + 2266762.

It is an arithmetic number, because the mean of its divisors is an integer number (9929204208).

Almost surely, 2431279034208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431279034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476601801984).

431279034208 is an abundant number, since it is smaller than the sum of its proper divisors (521924569760).

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

431279034208 is a wasteful number, since it uses less digits than its factorization.

431279034208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199196 (or 199188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 431279034208 in words is "four hundred thirty-one billion, two hundred seventy-nine million, thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 131 176 188 262 352 376 517 524 752 1034 1048 1441 1504 2068 2096 2882 4136 4192 5764 6157 8272 11528 12314 16544 23056 24628 46112 49256 67727 98512 135454 197024 198997 270908 397994 541816 795988 1083632 1591976 2167264 2188967 3183952 4377934 6367904 8755868 9352859 17511736 18705718 26068607 35023472 37411436 52137214 70046944 74822872 102881449 104274428 149645744 205762898 208548856 286754677 299291488 411525796 417097712 573509354 823051592 834195424 1147018708 1225224529 1646103184 2294037416 2450449058 3292206368 4588074832 4900898116 9176149664 9801796232 13477469819 19603592464 26954939638 39207184928 53909879276 107819758552 215639517104 431279034208