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232134343431232 = 2611287734180189
BaseRepresentation
bin110100110001111111111101…
…000101001001010001000000
31010102220211022112001002011211
4310301333331011021101000
5220411242113404244412
62141413013431415504
766616103300601214
oct6461777505112100
91112824275032154
10232134343431232
1167a68693156500
1222051235b24594
139c6b236951a68
14414750db1a944
151bc853116bca7
hexd31ffd149440

232134343431232 has 84 divisors (see below), whose sum is σ = 506902403396620. Its totient is φ = 105395293301760.

The previous prime is 232134343431209. The next prime is 232134343431241.

232134343431232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 81246138704896 + 150888204726336 = 9013664^2 + 12283656^2 .

It is a super-2 number, since 2×2321343434312322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10298607 + ... + 23881582.

Almost surely, 2232134343431232 is an apocalyptic number.

232134343431232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232134343431232 is an abundant number, since it is smaller than the sum of its proper divisors (274768059965388).

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

232134343431232 is a wasteful number, since it uses less digits than its factorization.

232134343431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34181100 (or 34181079 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

The spelling of 232134343431232 in words is "two hundred thirty-two trillion, one hundred thirty-four billion, three hundred forty-three million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 877 968 1754 1936 3508 3872 7016 7744 9647 14032 19294 28064 38588 56128 77176 106117 154352 212234 308704 424468 617408 848936 1697872 3395744 6791488 34180189 68360378 136720756 273441512 375982079 546883024 751964158 1093766048 1503928316 2187532096 3007856632 4135802869 6015713264 8271605738 12031426528 16543211476 24062853056 29976025753 33086422952 59952051506 66172845904 119904103012 132345691808 239808206024 264691383616 329736283283 479616412048 659472566566 959232824096 1318945133132 1918465648192 2637890266264 3627099116113 5275780532528 7254198232226 10551561065056 14508396464452 21103122130112 29016792928904 58033585857808 116067171715616 232134343431232