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1132420421214 = 23338119550139
BaseRepresentation
bin10000011110101001100…
…001000101011001011110
311000020222022210210211000
4100132221201011121132
5122023144111434324
62224120551411130
7144546301522005
oct20365141053136
94006868723730
101132420421214
113a7290895335
12163579383aa6
1382a2c759074
143cb49169c3c
151e6cbd369c9
hex107a984565e

1132420421214 has 32 divisors (see below), whose sum is σ = 2516560416000. Its totient is φ = 377462885112.

The previous prime is 1132420421213. The next prime is 1132420421221. The reversal of 1132420421214 is 4121240242311.

1132420421214 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 20 + 421 + 214 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132420421213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1783357 + ... + 2333495.

It is an arithmetic number, because the mean of its divisors is an integer number (78642513000).

Almost surely, 21132420421214 is an apocalyptic number.

1132420421214 is an abundant number, since it is smaller than the sum of its proper divisors (1384139994786).

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

1132420421214 is a wasteful number, since it uses less digits than its factorization.

1132420421214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588269 (or 588263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1132420421214 its reverse (4121240242311), we get a palindrome (5253660663525).

The spelling of 1132420421214 in words is "one trillion, one hundred thirty-two billion, four hundred twenty million, four hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 38119 76238 114357 228714 343071 550139 686142 1029213 1100278 1650417 2058426 3300834 4951251 9902502 14853753 29707506 20970748541 41941497082 62912245623 125824491246 188736736869 377473473738 566210210607 1132420421214