Search a number
-
+
12441322320 = 2435719873727
BaseRepresentation
bin10111001011000111…
…11000001101010000
31012010001112122202120
423211203320031100
5200434434303240
65414312414240
7620210331510
oct134543701520
935101478676
1012441322320
115304890669
1224b26a7380
1312337137ab
1486049b840
154cc397ad0
hex2e58f8350

12441322320 has 160 divisors (see below), whose sum is σ = 44111843328. Its totient is φ = 2841537024.

The previous prime is 12441322319. The next prime is 12441322321. The reversal of 12441322320 is 2322314421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12441322319) and next prime (12441322321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441322321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3336297 + ... + 3340023.

Almost surely, 212441322320 is an apocalyptic number.

12441322320 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 12441322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055921664).

12441322320 is an abundant number, since it is smaller than the sum of its proper divisors (31670521008).

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

12441322320 is a wasteful number, since it uses less digits than its factorization.

12441322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12441322320 its reverse (2322314421), we get a palindrome (14763636741).

The spelling of 12441322320 in words is "twelve billion, four hundred forty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1987 3727 3974 5961 7454 7948 9935 11181 11922 13909 14908 15896 18635 19870 22362 23844 26089 27818 29805 29816 31792 37270 39740 41727 44724 47688 52178 55636 55905 59610 59632 69545 74540 78267 79480 83454 89448 95376 104356 111272 111810 119220 130445 139090 149080 156534 158960 166908 178896 208635 208712 222544 223620 238440 260890 278180 298160 313068 333816 391335 417270 417424 447240 476880 521780 556360 626136 667632 782670 834540 894480 1043560 1112720 1252272 1565340 1669080 2087120 3130680 3338160 6261360 7405549 14811098 22216647 29622196 37027745 44433294 51838843 59244392 74055490 88866588 103677686 111083235 118488784 148110980 155516529 177733176 207355372 222166470 259194215 296221960 311033058 355466352 414710744 444332940 518388430 592443920 622066116 777582645 829421488 888665880 1036776860 1244132232 1555165290 1777331760 2073553720 2488264464 3110330580 4147107440 6220661160 12441322320