Search a number
-
+
141413330124324 = 223237238144588897
BaseRepresentation
bin100000001001110101011011…
…010011101111111000100100
3200112200222112010012210222100
4200021311123103233320210
5122013404000002434244
61220432215332332100
741533530102110256
oct4011653323577044
9615628463183870
10141413330124324
1141071069243205
1213a3aa26174030
1360ba2b1c037ab
1426cc628037cd6
151153742a5cb69
hex809d5b4efe24

141413330124324 has 72 divisors (see below), whose sum is σ = 367276790914488. Its totient is φ = 45844519311360.

The previous prime is 141413330124301. The next prime is 141413330124401. The reversal of 141413330124324 is 423421033314141.

141413330124324 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 3 + 3 + 301 + 24 + 324 = 666.

141413330124324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20470919270400 + 120942410853924 = 4524480^2 + 10997382^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122957 + ... + 25465940.

It is an arithmetic number, because the mean of its divisors is an integer number (5101066540479).

Almost surely, 2141413330124324 is an apocalyptic number.

It is an amenable number.

141413330124324 is an abundant number, since it is smaller than the sum of its proper divisors (225863460790164).

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

141413330124324 is a wasteful number, since it uses less digits than its factorization.

141413330124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44591325 (or 44591320 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 141413330124324 its reverse (423421033314141), we get a palindrome (564834363438465).

The spelling of 141413330124324 in words is "one hundred forty-one trillion, four hundred thirteen billion, three hundred thirty million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2381 4762 7143 9524 14286 21429 28572 42858 85716 88097 176194 264291 352388 528582 792873 1057164 1585746 3171492 44588897 89177794 133766691 178355588 267533382 401300073 535066764 802600146 1605200292 1649789189 3299578378 4949367567 6599156756 9898735134 14848102701 19797470268 29696205402 59392410804 106166163757 212332327514 318498491271 424664655028 636996982542 955495473813 1273993965084 1910990947626 3821981895252 3928148059009 7856296118018 11784444177027 15712592236036 23568888354054 35353332531081 47137776708108 70706665062162 141413330124324