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1232143301144 = 237213981127883
BaseRepresentation
bin10001111011100001011…
…101101011101000011000
311100210101011222222210102
4101323201131223220120
5130141412141114034
62342012215034532
7155006442153200
oct21734135535030
94323334888712
101232143301144
11435604853a88
1217a96a36ba48
138c262a1bc22
14438c9491400
15220b6a8197e
hex11ee176ba18

1232143301144 has 96 divisors (see below), whose sum is σ = 2710224417600. Its totient is φ = 523597193280.

The previous prime is 1232143301141. The next prime is 1232143301153. The reversal of 1232143301144 is 4411033412321.

It is a super-2 number, since 2×12321433011442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232143301141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44175827 + ... + 44203709.

It is an arithmetic number, because the mean of its divisors is an integer number (28231504350).

Almost surely, 21232143301144 is an apocalyptic number.

1232143301144 is a gapful number since it is divisible by the number (14) 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 1232143301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355112208800).

1232143301144 is an abundant number, since it is smaller than the sum of its proper divisors (1478081116456).

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

1232143301144 is a wasteful number, since it uses less digits than its factorization.

1232143301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28853 (or 28842 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1232143301144 its reverse (4411033412321), we get a palindrome (5643176713465).

The spelling of 1232143301144 in words is "one trillion, two hundred thirty-two billion, one hundred forty-three million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 139 196 278 392 556 811 973 1112 1622 1946 3244 3892 5677 6488 6811 7784 11354 13622 22708 27244 27883 39739 45416 54488 55766 79478 111532 112729 158956 195181 223064 225458 317912 390362 450916 780724 789103 901832 1366267 1561448 1578206 2732534 3156412 3875737 5465068 5523721 6312824 7751474 10930136 11047442 15502948 22094884 22613113 27130159 31005896 44189768 45226226 54260318 90452452 108520636 158291791 180904904 189911113 217041272 316583582 379822226 633167164 759644452 1108042537 1266334328 1519288904 2216085074 3143222707 4432170148 6286445414 8864340296 12572890828 22002558949 25145781656 44005117898 88010235796 154017912643 176020471592 308035825286 616071650572 1232143301144