Search a number
-
+
12341002016 = 257289191463
BaseRepresentation
bin10110111111001010…
…01011111100100000
31011212001202212011202
423133211023330200
5200233244031031
65400330300332
7614551533500
oct133745137440
934761685152
1012341002016
1152631a0522
122484b876a8
1312189ba275
14851025a00
154c367d2cb
hex2df94bf20

12341002016 has 144 divisors (see below), whose sum is σ = 28792350720. Its totient is φ = 5190958080.

The previous prime is 12341001983. The next prime is 12341002019. The reversal of 12341002016 is 61020014321.

It is not an unprimeable number, because it can be changed into a prime (12341002019) 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 23 ways as a sum of consecutive naturals, for example, 26654201 + ... + 26654663.

It is an arithmetic number, because the mean of its divisors is an integer number (199946880).

Almost surely, 212341002016 is an apocalyptic number.

12341002016 is a gapful number since it is divisible by the number (16) 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 12341002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396175360).

12341002016 is an abundant number, since it is smaller than the sum of its proper divisors (16451348704).

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

12341002016 is a wasteful number, since it uses less digits than its factorization.

12341002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12341002016 its reverse (61020014321), we get a palindrome (73361016337).

The spelling of 12341002016 in words is "twelve billion, three hundred forty-one million, two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 112 178 191 196 224 356 382 392 463 623 712 764 784 926 1246 1337 1424 1528 1568 1852 2492 2674 2848 3056 3241 3704 4361 4984 5348 6112 6482 7408 8722 9359 9968 10696 12964 14816 16999 17444 18718 19936 21392 22687 25928 33998 34888 37436 41207 42784 45374 51856 67996 69776 74872 82414 88433 90748 103712 118993 135992 139552 149744 164828 176866 181496 237986 271984 288449 299488 329656 353732 362992 475972 543968 576898 619031 659312 707464 725984 832951 951944 1153796 1238062 1318624 1414928 1665902 1903888 2019143 2307592 2476124 2829856 3331804 3807776 4038286 4333217 4615184 4952248 6663608 7870537 8076572 8666434 9230368 9904496 13327216 15741074 16153144 17332868 19808992 26654432 31482148 32306288 34665736 55093759 62964296 64612576 69331472 110187518 125928592 138662944 220375036 251857184 385656313 440750072 771312626 881500144 1542625252 1763000288 3085250504 6170501008 12341002016