Search a number
-
+
11334400140411 = 35314079368873
BaseRepresentation
bin1010010011101111111011…
…1001001110010001111011
31111010120001211111220100000
42210323332321032101323
52441200322413443121
640034541311044043
72246612000366355
oct244737671162173
944116054456300
1011334400140411
11367a98a434917
121330823810623
13642aa20c991a
142b28332760d5
15149c78e07526
hexa4efee4e47b

11334400140411 has 48 divisors (see below), whose sum is σ = 17530308956160. Its totient is φ = 7310703677760.

The previous prime is 11334400140397. The next prime is 11334400140451. The reversal of 11334400140411 is 11404100443311.

11334400140411 is a `hidden beast` number, since 11 + 33 + 440 + 0 + 140 + 41 + 1 = 666.

It is not a de Polignac number, because 11334400140411 - 26 = 11334400140347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11334400140451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30542671 + ... + 30911543.

It is an arithmetic number, because the mean of its divisors is an integer number (365214769920).

Almost surely, 211334400140411 is an apocalyptic number.

11334400140411 is a deficient number, since it is larger than the sum of its proper divisors (6195908815749).

11334400140411 is an equidigital number, since it uses as much as digits as its factorization.

11334400140411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372998 (or 372986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11334400140411 its reverse (11404100443311), we get a palindrome (22738500583722).

The spelling of 11334400140411 in words is "eleven trillion, three hundred thirty-four billion, four hundred million, one hundred forty thousand, four hundred eleven".

Divisors: 1 3 9 27 31 81 93 243 279 837 2511 4079 7533 12237 36711 110133 126449 330399 368873 379347 991197 1106619 1138041 3319857 3414123 9959571 10242369 11435063 29878713 30727107 34305189 89636139 102915567 308746701 926240103 1504632967 2778720309 4513898901 13541696703 40625090109 46643621977 121875270327 139930865931 365625810981 419792597793 1259377793379 3778133380137 11334400140411