Search a number
-
+
12140266446 = 23371119714821
BaseRepresentation
bin10110100111001110…
…11100001111001110
31011100002001102202000
423103213130033032
5144330402011241
65324400013130
7606563363550
oct132347341716
934302042660
1012140266446
11516a955960
1224299011a6
1311b6236219
148324d14d0
154b0c2aeb6
hex2d39dc3ce

12140266446 has 128 divisors (see below), whose sum is σ = 33808389120. Its totient is φ = 3137097600.

The previous prime is 12140266417. The next prime is 12140266447. The reversal of 12140266446 is 64466204121.

12140266446 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 2 + 6 + 644 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12140266446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140266447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811716 + ... + 826536.

It is an arithmetic number, because the mean of its divisors is an integer number (264128040).

Almost surely, 212140266446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140266446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904194560).

12140266446 is an abundant number, since it is smaller than the sum of its proper divisors (21668122674).

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

12140266446 is a wasteful number, since it uses less digits than its factorization.

12140266446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15047 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12140266446 in words is "twelve billion, one hundred forty million, two hundred sixty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 197 198 231 297 378 394 462 591 594 693 1182 1379 1386 1773 2079 2167 2758 3546 4137 4158 4334 5319 6501 8274 10638 12411 13002 14821 15169 19503 24822 29642 30338 37233 39006 44463 45507 58509 74466 88926 91014 103747 117018 133389 136521 163031 207494 266778 273042 311241 326062 400167 409563 489093 622482 800334 819126 933723 978186 1141217 1467279 1867446 2282434 2801169 2919737 2934558 3423651 4401837 5602338 5839474 6847302 8759211 8803674 10270953 17518422 20438159 20541906 26277633 30812859 32117107 40876318 52555266 61314477 61625718 64234214 78832899 96351321 122628954 157665798 183943431 192702642 224819749 289053963 367886862 449639498 551830293 578107926 674459247 867161889 1103660586 1348918494 1734323778 2023377741 4046755482 6070133223 12140266446