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1444213023220 = 225113179303089
BaseRepresentation
bin10101000001000001110…
…011011110000111110100
312010001202200121002100101
4111001001303132013310
5142130222013220340
63023243505123444
7206224642102252
oct25010163360764
95101680532311
101444213023220
1150753a668000
121b3a94029584
13a625b774a86
144dc8653d5d2
1527879949c9a
hex15041cde1f4

1444213023220 has 96 divisors (see below), whose sum is σ = 3354551625600. Its totient is φ = 522232747520.

The previous prime is 1444213023157. The next prime is 1444213023247. The reversal of 1444213023220 is 223203124441.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4613436 + ... + 4916524.

It is an arithmetic number, because the mean of its divisors is an integer number (34943246100).

Almost surely, 21444213023220 is an apocalyptic number.

1444213023220 is a gapful number since it is divisible by the number (10) 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 1444213023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677275812800).

1444213023220 is an abundant number, since it is smaller than the sum of its proper divisors (1910338602380).

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

1444213023220 is a wasteful number, since it uses less digits than its factorization.

1444213023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303310 (or 303286 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1444213023220 its reverse (223203124441), we get a palindrome (1667416147661).

The spelling of 1444213023220 in words is "one trillion, four hundred forty-four billion, two hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 179 220 242 358 484 605 716 895 1210 1331 1790 1969 2420 2662 3580 3938 5324 6655 7876 9845 13310 19690 21659 26620 39380 43318 86636 108295 216590 238249 303089 433180 476498 606178 952996 1191245 1212356 1515445 2382490 3030890 3333979 4764980 6061780 6667958 13335916 16669895 33339790 36673769 54252931 66679580 73347538 108505862 146695076 183368845 217011724 271264655 366737690 403411459 542529310 596782241 733475380 806822918 1085058620 1193564482 1613645836 2017057295 2387128964 2983911205 4034114590 5967822410 6564604651 8068229180 11935644820 13129209302 26258418604 32823023255 65646046510 72210651161 131292093020 144421302322 288842604644 361053255805 722106511610 1444213023220