Search a number
-
+
4320132224144 = 2411211116332729
BaseRepresentation
bin111110110111011011111…
…100100101010010010000
3120022000000102221200100112
4332313123330211102100
51031240112322133034
613104350310340452
7624055622005502
oct76673374452220
916260012850315
104320132224144
111416181018940
1259932b65a728
13254504818bb9
1410d14a145d72
157759ad027ce
hex3eddbf25490

4320132224144 has 40 divisors (see below), whose sum is σ = 9174464418720. Its totient is φ = 1954389830400.

The previous prime is 4320132224131. The next prime is 4320132224147. The reversal of 4320132224144 is 4414222310234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4320132224144.

It is not an unprimeable number, because it can be changed into a prime (4320132224147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58129229 + ... + 58203500.

It is an arithmetic number, because the mean of its divisors is an integer number (229361610468).

Almost surely, 24320132224144 is an apocalyptic number.

4320132224144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4320132224144 is an abundant number, since it is smaller than the sum of its proper divisors (4854332194576).

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

4320132224144 is a wasteful number, since it uses less digits than its factorization.

4320132224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116332959 (or 116332953 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4320132224144 its reverse (4414222310234), we get a palindrome (8734354534378).

The spelling of 4320132224144 in words is "four trillion, three hundred twenty billion, one hundred thirty-two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1688 2321 3376 4642 9284 18568 37136 116332729 232665458 465330916 930661832 1279660019 1861323664 2559320038 5118640076 10237280152 20474560304 24546205819 49092411638 98184823276 196369646552 270008264009 392739293104 540016528018 1080033056036 2160066112072 4320132224144