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12141421424 = 24112316318401
BaseRepresentation
bin10110100111010111…
…10110001101110000
31011100011020010001222
423103223312031300
5144331200441144
65324440444212
7606606244046
oct132353661560
934304203058
1012141421424
115170574690
12242a179668
1311b654bb42
14832712396
154b0da82ee
hex2d3af6370

12141421424 has 80 divisors (see below), whose sum is σ = 26944061184. Its totient is φ = 5246208000.

The previous prime is 12141421417. The next prime is 12141421427. The reversal of 12141421424 is 42412414121.

It is a super-2 number, since 2×121414214242 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12141421393 and 12141421402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141421427) 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 15 ways as a sum of consecutive naturals, for example, 650624 + ... + 669024.

Almost surely, 212141421424 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 12141421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472030592).

12141421424 is an abundant number, since it is smaller than the sum of its proper divisors (14802639760).

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

12141421424 is a wasteful number, since it uses less digits than its factorization.

12141421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606 (or 18600 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 12141421424 its reverse (42412414121), we get a palindrome (54553835545).

The spelling of 12141421424 in words is "twelve billion, one hundred forty-one million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 163 176 184 253 326 368 506 652 1012 1304 1793 2024 2608 3586 3749 4048 7172 7498 14344 14996 18401 28688 29992 36802 41239 59984 73604 82478 147208 164956 202411 294416 329912 404822 423223 659824 809644 846446 1619288 1692892 2999363 3238576 3385784 4655453 5998726 6771568 9310906 11997452 18621812 23994904 32992993 37243624 47989808 65985986 68985349 74487248 131971972 137970698 263943944 275941396 527887888 551882792 758838839 1103765584 1517677678 3035355356 6070710712 12141421424