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21421412340 = 22354364112953
BaseRepresentation
bin10011111100110100…
…001100111111110100
32001021220011111102020
4103330310030333310
5322332340143330
613501343113140
71355562000126
oct237464147764
961256144366
1021421412340
1190a2913169
124199ba27b0
132035012623
141072dad216
15855940210
hex4fcd0cff4

21421412340 has 96 divisors (see below), whose sum is σ = 61475331456. Its totient is φ = 5570396160.

The previous prime is 21421412333. The next prime is 21421412359. The reversal of 21421412340 is 4321412412.

It is a self number, because there is not a number n which added to its sum of digits gives 21421412340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647304 + ... + 1660256.

It is an arithmetic number, because the mean of its divisors is an integer number (640368036).

Almost surely, 221421412340 is an apocalyptic number.

21421412340 is a gapful number since it is divisible by the number (20) 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 21421412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30737665728).

21421412340 is an abundant number, since it is smaller than the sum of its proper divisors (40053919116).

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

21421412340 is a wasteful number, since it uses less digits than its factorization.

21421412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21421412340 its reverse (4321412412), we get a palindrome (25742824752).

The spelling of 21421412340 in words is "twenty-one billion, four hundred twenty-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 641 645 860 1282 1290 1923 2564 2580 3205 3846 6410 7692 9615 12820 12953 19230 25906 27563 38460 38859 51812 55126 64765 77718 82689 110252 129530 137815 155436 165378 194295 259060 275630 330756 388590 413445 551260 556979 777180 826890 1113958 1653780 1670937 2227916 2784895 3341874 5569790 6683748 8302873 8354685 11139580 16605746 16709370 24908619 33211492 33418740 41514365 49817238 83028730 99634476 124543095 166057460 249086190 357023539 498172380 714047078 1071070617 1428094156 1785117695 2142141234 3570235390 4284282468 5355353085 7140470780 10710706170 21421412340