Search a number
-
+
2320422423440 = 2451131101842173
BaseRepresentation
bin100001110001000011111…
…101000100101110010000
322012211102020011110222112
4201301003331010232100
5301004211120022230
64533553133324452
7326434142110502
oct41610375045620
98184366143875
102320422423440
118150a3a68090
12315868936728
1313aa794306b4
1480448037d72
154055d549d95
hex21c43f44b90

2320422423440 has 160 divisors (see below), whose sum is σ = 6135446449152. Its totient is φ = 808485120000.

The previous prime is 2320422423413. The next prime is 2320422423491. The reversal of 2320422423440 is 443242240232.

It is a super-2 number, since 2×23204224234402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2320422423397 and 2320422423406.

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, 2334194 + ... + 3176366.

Almost surely, 22320422423440 is an apocalyptic number.

2320422423440 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 2320422423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067723224576).

2320422423440 is an abundant number, since it is smaller than the sum of its proper divisors (3815024025712).

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

2320422423440 is a wasteful number, since it uses less digits than its factorization.

2320422423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842329 (or 842323 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 2320422423440 its reverse (443242240232), we get a palindrome (2763664663672).

The spelling of 2320422423440 in words is "two trillion, three hundred twenty billion, four hundred twenty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 101 110 124 155 176 202 220 248 310 341 404 440 496 505 620 682 808 880 1010 1111 1240 1364 1616 1705 2020 2222 2480 2728 3131 3410 4040 4444 5456 5555 6262 6820 8080 8888 11110 12524 13640 15655 17776 22220 25048 27280 31310 34441 44440 50096 62620 68882 88880 125240 137764 172205 250480 275528 344410 551056 688820 842173 1377640 1684346 2755280 3368692 4210865 6737384 8421730 9263903 13474768 16843460 18527806 26107363 33686920 37055612 46319515 52214726 67373840 74111224 85059473 92639030 104429452 130536815 148222448 170118946 185278060 208858904 261073630 287180993 340237892 370556120 417717808 425297365 522147260 574361986 680475784 741112240 850594730 935654203 1044294520 1148723972 1360951568 1435904965 1701189460 1871308406 2088589040 2297447944 2636843663 2871809930 3402378920 3742616812 4594895888 4678271015 5273687326 5743619860 6804757840 7485233624 9356542030 10547374652 11487239720 13184218315 14970467248 18713084060 21094749304 22974479440 26368436630 29005280293 37426168120 42189498608 52736873260 58010560586 74852336240 105473746520 116021121172 145026401465 210947493040 232042242344 290052802930 464084484688 580105605860 1160211211720 2320422423440