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21234201433140 = 22354310975507437
BaseRepresentation
bin1001101001111111110010…
…00010001001010000110100
32210011222012000012102210010
410310333321002021100310
510240400121031330030
6113054505114100220
74321056210063663
oct464777102112064
983158160172703
1021234201433140
116847413153053
12246b3b711a670
13bb04b8521937
14535a52bbadda
1526c53c45e6b0
hex134ff9089434

21234201433140 has 96 divisors (see below), whose sum is σ = 61396607986560. Its totient is φ = 5480027675136.

The previous prime is 21234201433117. The next prime is 21234201433153. The reversal of 21234201433140 is 4133410243212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21234201433098 and 21234201433107.

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, 37472499 + ... + 38034938.

It is an arithmetic number, because the mean of its divisors is an integer number (639547999860).

Almost surely, 221234201433140 is an apocalyptic number.

21234201433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21234201433140 is an abundant number, since it is smaller than the sum of its proper divisors (40162406553420).

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

21234201433140 is a wasteful number, since it uses less digits than its factorization.

21234201433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75507601 (or 75507599 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 21234201433140 its reverse (4133410243212), we get a palindrome (25367611676352).

The spelling of 21234201433140 in words is "twenty-one trillion, two hundred thirty-four billion, two hundred one million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 109 129 172 215 218 258 327 430 436 516 545 645 654 860 1090 1290 1308 1635 2180 2580 3270 4687 6540 9374 14061 18748 23435 28122 46870 56244 70305 93740 140610 281220 75507437 151014874 226522311 302029748 377537185 453044622 755074370 906089244 1132611555 1510148740 2265223110 3246819791 4530446220 6493639582 8230310633 9740459373 12987279164 16234098955 16460621266 19480918746 24690931899 32468197910 32921242532 38961837492 41151553165 48702296865 49381863798 64936395820 82303106330 97404593730 98763727596 123454659495 164606212660 194809187460 246909318990 353903357219 493818637980 707806714438 1061710071657 1415613428876 1769516786095 2123420143314 3539033572190 4246840286628 5308550358285 7078067144380 10617100716570 21234201433140