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1324433320420 = 225759733218749
BaseRepresentation
bin10011010001011110011…
…000001010100111100100
311200121121000221201210111
4103101132120022213210
5133144414412223140
62452234122302404
7164454456321610
oct23213630124744
94617530851714
101324433320420
11470764099491
12194826057a04
1397b801004a2
1448162580340
15246b8eac7ea
hex1345e60a9e4

1324433320420 has 96 divisors (see below), whose sum is σ = 3236940000000. Its totient is φ = 445783924224.

The previous prime is 1324433320387. The next prime is 1324433320421. The reversal of 1324433320420 is 240233344231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1324433320421) by changing a digit.

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, 5945206 + ... + 6163954.

It is an arithmetic number, because the mean of its divisors is an integer number (33718125000).

Almost surely, 21324433320420 is an apocalyptic number.

1324433320420 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 1324433320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618470000000).

1324433320420 is an abundant number, since it is smaller than the sum of its proper divisors (1912506679580).

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

1324433320420 is a wasteful number, since it uses less digits than its factorization.

1324433320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219557 (or 219555 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 1324433320420 its reverse (240233344231), we get a palindrome (1564666664651).

The spelling of 1324433320420 in words is "one trillion, three hundred twenty-four billion, four hundred thirty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 733 826 1180 1466 1652 2065 2932 3665 4130 5131 7330 8260 10262 14660 20524 25655 43247 51310 86494 102620 172988 216235 218749 302729 432470 437498 605458 864940 874996 1093745 1210916 1513645 1531243 2187490 3027290 3062486 4374980 6054580 6124972 7656215 12906191 15312430 25812382 30624860 51624764 64530955 90343337 129061910 160343017 180686674 258123820 320686034 361373348 451716685 641372068 801715085 903433370 1122401119 1603430170 1806866740 2244802238 3206860340 4489604476 5612005595 9460238003 11224011190 18920476006 22448022380 37840952012 47301190015 66221666021 94602380030 132443332042 189204760060 264886664084 331108330105 662216660210 1324433320420