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12054042140 = 225737612309
BaseRepresentation
bin10110011100111101…
…00001011000011100
31011010001210210020012
423032132201120130
5144141313322030
65312035542352
7604465445000
oct131636413034
934101723205
1012054042140
1151262132a8
122404a5a9b8
1311a1406a1a
14824c88700
154a8398095
hex2ce7a161c

12054042140 has 96 divisors (see below), whose sum is σ = 29571696000. Its totient is φ = 4125596160.

The previous prime is 12054042137. The next prime is 12054042157. The reversal of 12054042140 is 4124045021.

12054042140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5219306 + ... + 5221614.

It is an arithmetic number, because the mean of its divisors is an integer number (308038500).

Almost surely, 212054042140 is an apocalyptic number.

12054042140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785848000).

12054042140 is an abundant number, since it is smaller than the sum of its proper divisors (17517653860).

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

12054042140 is a wasteful number, since it uses less digits than its factorization.

12054042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 12054042140 its reverse (4124045021), we get a palindrome (16178087161).

The spelling of 12054042140 in words is "twelve billion, fifty-four million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 761 980 1372 1522 1715 2309 3044 3430 3805 4618 5327 6860 7610 9236 10654 11545 15220 16163 21308 23090 26635 32326 37289 46180 53270 64652 74578 80815 106540 113141 149156 161630 186445 226282 261023 323260 372890 452564 522046 565705 745780 791987 1044092 1131410 1305115 1583974 1757149 2262820 2610230 3167948 3514298 3959935 5220460 7028596 7919870 8785745 12300043 15839740 17571490 24600086 35142980 49200172 61500215 86100301 123000430 172200602 246000860 344401204 430501505 602702107 861003010 1205404214 1722006020 2410808428 3013510535 6027021070 12054042140