Search a number
-
+
323312303231232 = 283771879836683
BaseRepresentation
bin100100110000011010000001…
…0111111000101000100000000
31120101202100120022022022002220
41021200310002333011010000
5314334122044111344412
63103343342140011040
7125046354162443310
oct11140640277050400
91511670508268086
10323312303231232
1194020a83492227
1230318110230a80
1310b532b0c6b613
1459ba582ac1440
15275a1657b468c
hex1260d02fc5100

323312303231232 has 144 divisors (see below), whose sum is σ = 983423112483840. Its totient is φ = 92373548230656.

The previous prime is 323312303231201. The next prime is 323312303231297. The reversal of 323312303231232 is 232132303213323.

It is a junction number, because it is equal to n+sod(n) for n = 323312303231193 and 323312303231202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386003163 + ... + 386839845.

Almost surely, 2323312303231232 is an apocalyptic number.

323312303231232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323312303231232 is an abundant number, since it is smaller than the sum of its proper divisors (660110809252608).

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

323312303231232 is an equidigital number, since it uses as much as digits as its factorization.

323312303231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908588 (or 908574 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 323312303231232 its reverse (232132303213323), we get a palindrome (555444606444555).

The spelling of 323312303231232 in words is "three hundred twenty-three trillion, three hundred twelve billion, three hundred three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 71879 143758 215637 287516 431274 503153 575032 836683 862548 1006306 1150064 1509459 1673366 1725096 2012612 2300128 2510049 3018918 3346732 3450192 4025224 4600256 5020098 5856781 6037836 6693464 6900384 8050448 9200512 10040196 11713562 12075672 13386928 13800768 16100896 17570343 18401024 20080392 23427124 24151344 26773856 27601536 32201792 35140686 40160784 46854248 48302688 53547712 55203072 64403584 70281372 80321568 93708496 96605376 107095424 128807168 140562744 160643136 187416992 193210752 214190848 281125488 321286272 374833984 386421504 562250976 642572544 749667968 1124501952 1499335936 2249003904 4498007808 60139937357 120279874714 180419812071 240559749428 360839624142 420979561499 481119498856 721679248284 841959122998 962238997712 1262938684497 1443358496568 1683918245996 1924477995424 2525877368994 2886716993136 3367836491992 3848955990848 5051754737988 5773433986272 6735672983984 7697911981696 10103509475976 11546867972544 13471345967968 15395823963392 20207018951952 23093735945088 26942691935936 40414037903904 46187471890176 53885383871872 80828075807808 107770767743744 161656151615616 323312303231232