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2144143441220 = 2251135330379091
BaseRepresentation
bin11111001100111000111…
…010000111110101000100
321120222102001011100112012
4133030320322013311010
5240112201210104340
64321001135113352
7310623605352644
oct37147072076504
97528361140465
102144143441220
11757365090710
122a7671372858
1312726568b521
1475ac44d0524
153ab9285a565
hex1f338e87d44

2144143441220 has 96 divisors (see below), whose sum is σ = 4928116830336. Its totient is φ = 777138278400.

The previous prime is 2144143441183. The next prime is 2144143441313. The reversal of 2144143441220 is 221443414412.

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, 235848875 + ... + 235857965.

It is an arithmetic number, because the mean of its divisors is an integer number (51334550316).

Almost surely, 22144143441220 is an apocalyptic number.

2144143441220 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 2144143441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464058415168).

2144143441220 is an abundant number, since it is smaller than the sum of its proper divisors (2783973389116).

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

2144143441220 is a wasteful number, since it uses less digits than its factorization.

2144143441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 12499 counting only the distinct ones).

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

Adding to 2144143441220 its reverse (221443414412), we get a palindrome (2365586855632).

The spelling of 2144143441220 in words is "two trillion, one hundred forty-four billion, one hundred forty-three million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 353 706 1412 1765 3037 3530 3883 6074 7060 7766 9091 12148 15185 15532 18182 19415 30370 33407 36364 38830 45455 60740 66814 77660 90910 100001 133628 167035 181820 200002 334070 400004 500005 668140 1000010 1072061 2000020 2144122 3209123 4288244 5360305 6418246 10720610 11792671 12836492 16045615 21441220 23585342 27609367 32091230 35300353 47170684 55218734 58963355 64182460 70600706 110437468 117926710 138046835 141201412 176501765 235853420 276093670 303703037 353003530 552187340 607406074 706007060 1214812148 1518515185 3037030370 6074060740 9746106551 19492213102 38984426204 48730532755 97461065510 107207172061 194922131020 214414344122 428828688244 536035860305 1072071720610 2144143441220