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12234300144 = 24311431274243
BaseRepresentation
bin10110110010011100…
…01001101011110000
31011120121222211201120
423121032021223300
5200023440101034
65341555302240
7612114556353
oct133116115360
934517884646
1012234300144
115208a41860
1224552aa980
1311cc86b171
14840bac29a
154b9102c49
hex2d9389af0

12234300144 has 160 divisors (see below), whose sum is σ = 35566485504. Its totient is φ = 3591786240.

The previous prime is 12234300137. The next prime is 12234300191. The reversal of 12234300144 is 44100343221.

12234300144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2881287 + ... + 2885529.

Almost surely, 212234300144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783242752).

12234300144 is an abundant number, since it is smaller than the sum of its proper divisors (23332185360).

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

12234300144 is a wasteful number, since it uses less digits than its factorization.

12234300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12234300144 its reverse (44100343221), we get a palindrome (56334643365).

The spelling of 12234300144 in words is "twelve billion, two hundred thirty-four million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 127 129 132 172 176 254 258 264 344 381 473 508 516 528 688 762 946 1016 1032 1397 1419 1524 1892 2032 2064 2794 2838 3048 3784 4191 4243 5461 5588 5676 6096 7568 8382 8486 10922 11176 11352 12729 16383 16764 16972 21844 22352 22704 25458 32766 33528 33944 43688 46673 50916 60071 65532 67056 67888 87376 93346 101832 120142 131064 140019 180213 182449 186692 203664 240284 262128 280038 360426 364898 373384 480568 538861 547347 560076 720852 729796 746768 961136 1077722 1094694 1120152 1441704 1459592 1616583 2006939 2155444 2189388 2240304 2883408 2919184 3233166 4013878 4310888 4378776 5927471 6020817 6466332 8027756 8621776 8757552 11854942 12041634 12932664 16055512 17782413 23171023 23709884 24083268 25865328 32111024 35564826 46342046 47419768 48166536 69513069 71129652 92684092 94839536 96333072 139026138 142259304 185368184 254881253 278052276 284518608 370736368 509762506 556104552 764643759 1019525012 1112209104 1529287518 2039050024 3058575036 4078100048 6117150072 12234300144