Search a number
-
+
21341204442140 = 225114712491652479
BaseRepresentation
bin1001101101000111000101…
…11010001110110000011100
32210120012101020020111101112
410312203202322032300130
510244123241314122030
6113220003004001152
74331564640463232
oct466434272166034
983505336214345
1021341204442140
1168888325a84a0
12248809a2301b8
13bba60bb4ba8b
1453acc3d3c952
152702013a9a95
hex1368e2e8ec1c

21341204442140 has 96 divisors (see below), whose sum is σ = 49970995200000. Its totient is φ = 7589236561920.

The previous prime is 21341204442133. The next prime is 21341204442167. The reversal of 21341204442140 is 4124440214312.

It is a junction number, because it is equal to n+sod(n) for n = 21341204442097 and 21341204442106.

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, 12088421 + ... + 13740899.

It is an arithmetic number, because the mean of its divisors is an integer number (520531200000).

Almost surely, 221341204442140 is an apocalyptic number.

21341204442140 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 21341204442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985497600000).

21341204442140 is an abundant number, since it is smaller than the sum of its proper divisors (28629790757860).

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

21341204442140 is a wasteful number, since it uses less digits than its factorization.

21341204442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653795 (or 1653793 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 21341204442140 its reverse (4124440214312), we get a palindrome (25465644656452).

The spelling of 21341204442140 in words is "twenty-one trillion, three hundred forty-one billion, two hundred four million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1249 2068 2498 2585 4996 5170 6245 10340 12490 13739 24980 27478 54956 58703 68695 117406 137390 234812 274780 293515 587030 645733 1174060 1291466 1652479 2582932 3228665 3304958 6457330 6609916 8262395 12914660 16524790 18177269 33049580 36354538 72709076 77666513 90886345 155333026 181772690 310666052 363545380 388332565 776665130 854331643 1553330260 1708663286 2063946271 3417326572 4127892542 4271658215 8255785084 8543316430 10319731355 17086632860 20639462710 22703408981 41278925420 45406817962 90813635924 97005474737 113517044905 194010949474 227034089810 388021898948 454068179620 485027373685 970054747370 1067060222107 1940109494740 2134120444214 4268240888428 5335301110535 10670602221070 21341204442140