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1430223044340 = 2235711039323131
BaseRepresentation
bin10100110011111111111…
…011111011111011110100
312001201122200222112011110
4110303333323323323310
5141413044044404330
63013011351235020
7205221155201646
oct24637773737364
95051580875143
101430223044340
11501610693892
121b122a978a70
13a4b3c26426c
144d31a514896
152730b645db0
hex14cffefbef4

1430223044340 has 96 divisors (see below), whose sum is σ = 4064948858880. Its totient is φ = 375658012800.

The previous prime is 1430223044323. The next prime is 1430223044363. The reversal of 1430223044340 is 434403220341.

It is a happy number.

It is a super-2 number, since 2×14302230443402 (a number of 25 digits) contains 22 as substring.

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 = 1430223044298 and 1430223044307.

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, 4264575 + ... + 4587705.

It is an arithmetic number, because the mean of its divisors is an integer number (42343217280).

Almost surely, 21430223044340 is an apocalyptic number.

1430223044340 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 1430223044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032474429440).

1430223044340 is an abundant number, since it is smaller than the sum of its proper divisors (2634725814540).

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

1430223044340 is a wasteful number, since it uses less digits than its factorization.

1430223044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324253 (or 324251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1430223044340 its reverse (434403220341), we get a palindrome (1864626264681).

The spelling of 1430223044340 in words is "one trillion, four hundred thirty billion, two hundred twenty-three million, forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1039 1065 1420 2078 2130 3117 4156 4260 5195 6234 10390 12468 15585 20780 31170 62340 73769 147538 221307 295076 323131 368845 442614 646262 737690 885228 969393 1106535 1292524 1475380 1615655 1938786 2213070 3231310 3877572 4426140 4846965 6462620 9693930 19387860 22942301 45884602 68826903 91769204 114711505 137653806 229423010 275307612 335733109 344134515 458846020 671466218 688269030 1007199327 1342932436 1376538060 1678665545 2014398654 3357331090 4028797308 5035996635 6714662180 10071993270 20143986540 23837050739 47674101478 71511152217 95348202956 119185253695 143022304434 238370507390 286044608868 357555761085 476741014780 715111522170 1430223044340