Search a number
-
+
13232246166440 = 2357195471454627
BaseRepresentation
bin1100000010001101111101…
…0101010001001110101000
31201211222201222122012020122
43000203133111101032220
53213244120004311230
644050450541542412
72533666252423430
oct300433725211650
951758658565218
1013232246166440
114241844aa7024
1215985b8574a08
1374ca45816542
1433a6309a92c0
1517e303a20be5
hexc08df5513a8

13232246166440 has 128 divisors (see below), whose sum is σ = 35823231590400. Its totient is φ = 4297197692160.

The previous prime is 13232246166437. The next prime is 13232246166481. The reversal of 13232246166440 is 4466164223231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13232246166391 and 13232246166400.

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, 28878407 + ... + 29333033.

It is an arithmetic number, because the mean of its divisors is an integer number (279868996800).

Almost surely, 213232246166440 is an apocalyptic number.

13232246166440 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 13232246166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911615795200).

13232246166440 is an abundant number, since it is smaller than the sum of its proper divisors (22590985423960).

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

13232246166440 is a wasteful number, since it uses less digits than its factorization.

13232246166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460135 (or 460131 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 13232246166440 in words is "thirteen trillion, two hundred thirty-two billion, two hundred forty-six million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 5471 10942 21884 27355 38297 43768 54710 76594 103949 109420 153188 191485 207898 218840 306376 382970 415796 454627 519745 727643 765940 831592 909254 1039490 1455286 1531880 1818508 2078980 2273135 2910572 3182389 3637016 3638215 4157960 4546270 5821144 6364778 7276430 8637913 9092540 12729556 14552860 15911945 17275826 18185080 25459112 29105720 31823890 34551652 43189565 60465391 63647780 69103304 86379130 120930782 127295560 172758260 241861564 302326955 345516520 483723128 604653910 1209307820 2418615640 2487264317 4974528634 9949057268 12436321585 17410850219 19898114536 24872643170 34821700438 47258022023 49745286340 69643400876 87054251095 94516044046 99490572680 139286801752 174108502190 189032088092 236290110115 330806154161 348217004380 378064176184 472580220230 661612308322 696434008760 945160440460 1323224616644 1654030770805 1890320880920 2646449233288 3308061541610 6616123083220 13232246166440