Search a number
-
+
114523301045132 = 22723273105914957
BaseRepresentation
bin11010000010100010001000…
…101011010110001110001100
3120000111022122202110221011022
4122002202020223112032030
5110002322210031421012
61043323140031213312
733060015106153460
oct3202421053261614
9500438582427138
10114523301045132
1133544071907351
1210a17471977238
134bb966877c515
14203cd58d584a0
15d39031c79472
hex682888ad638c

114523301045132 has 72 divisors (see below), whose sum is σ = 242718107031456. Its totient is φ = 46304324123904.

The previous prime is 114523301045129. The next prime is 114523301045191. The reversal of 114523301045132 is 231540103325411.

It is a junction number, because it is equal to n+sod(n) for n = 114523301045092 and 114523301045101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51876203 + ... + 54038754.

Almost surely, 2114523301045132 is an apocalyptic number.

It is an amenable number.

114523301045132 is an abundant number, since it is smaller than the sum of its proper divisors (128194805986324).

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

114523301045132 is a wasteful number, since it uses less digits than its factorization.

114523301045132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105915087 (or 105915062 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 114523301045132 in words is "one hundred fourteen trillion, five hundred twenty-three billion, three hundred one million, forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 73 92 146 161 292 322 511 529 644 1022 1058 1679 2044 2116 3358 3703 6716 7406 11753 14812 23506 38617 47012 77234 154468 270319 540638 1081276 105914957 211829914 423659828 741404699 1482809398 2436044011 2965618796 4872088022 7731791861 9744176044 15463583722 17052308077 30927167444 34104616154 54122543027 56029012253 68209232308 108245086054 112058024506 177831212803 216490172108 224116049012 355662425606 392203085771 711324851212 784406171542 1244818489621 1568812343084 2489636979242 4090117894469 4979273958484 8180235788938 16360471577876 28630825261283 57261650522566 114523301045132