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13214144142 = 23615495851
BaseRepresentation
bin11000100111001111…
…11101011010001110
31021002220202002000000
430103213331122032
5204030310103032
610023120545130
7645313241403
oct142347753216
937086662000
1013214144142
115671049091
1226894821a6
13132786bc04
148d4d902aa
15525151e7c
hex3139fd68e

13214144142 has 56 divisors (see below), whose sum is σ = 29742497400. Its totient is φ = 4401118800.

The previous prime is 13214144137. The next prime is 13214144179. The reversal of 13214144142 is 24144141231.

13214144142 is a `hidden beast` number, since 1 + 3 + 214 + 1 + 441 + 4 + 2 = 666.

It is a super-2 number, since 2×132141441422 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2255517 + ... + 2261367.

It is an arithmetic number, because the mean of its divisors is an integer number (531116025).

Almost surely, 213214144142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214144142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871248700).

13214144142 is an abundant number, since it is smaller than the sum of its proper divisors (16528353258).

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

13214144142 is an equidigital number, since it uses as much as digits as its factorization.

13214144142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7405 counting only the distinct ones).

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

Adding to 13214144142 its reverse (24144141231), we get a palindrome (37358285373).

The spelling of 13214144142 in words is "thirteen billion, two hundred fourteen million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1549 3098 4647 5851 9294 11702 13941 17553 27882 35106 41823 52659 83646 105318 125469 157977 250938 315954 376407 473931 752814 947862 1129221 1421793 2258442 2843586 4265379 8530758 9063199 18126398 27189597 54379194 81568791 163137582 244706373 489412746 734119119 1468238238 2202357357 4404714714 6607072071 13214144142