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14255632404 = 223213172696661
BaseRepresentation
bin11010100011011001…
…11011000000010100
31100210111111011022100
431101230323000110
5213143420214104
610314323402100
71013160606336
oct152154730024
940714434270
1014255632404
116055a29692
12291a223330
131462574160
1499341b456
155867cb139
hex351b3b014

14255632404 has 144 divisors (see below), whose sum is σ = 41248705680. Its totient is φ = 4112363520.

The previous prime is 14255632403. The next prime is 14255632409. The reversal of 14255632404 is 40423655241.

14255632404 is a `hidden beast` number, since 14 + 2 + 5 + 5 + 632 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23619600 + 14232012804 = 4860^2 + 119298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14255632403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136834 + ... + 2143494.

It is an arithmetic number, because the mean of its divisors is an integer number (286449345).

Almost surely, 214255632404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14255632404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624352840).

14255632404 is an abundant number, since it is smaller than the sum of its proper divisors (26993073276).

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

14255632404 is a wasteful number, since it uses less digits than its factorization.

14255632404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14255632404 in words is "fourteen billion, two hundred fifty-five million, six hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 269 306 442 468 538 612 663 807 884 1076 1326 1614 1989 2421 2652 3228 3497 3978 4573 4842 6661 6994 7956 9146 9684 10491 13322 13719 13988 18292 19983 20982 26644 27438 31473 39966 41157 41964 54876 59449 59949 62946 79932 82314 86593 113237 118898 119898 125892 164628 173186 178347 226474 237796 239796 259779 339711 346372 356694 452948 519558 535041 679422 713388 779337 1019133 1039116 1070082 1358844 1472081 1558674 1791809 2038266 2140164 2944162 3117348 3583618 4076532 4416243 5375427 5888324 7167236 8832486 10750854 13248729 16126281 17664972 21501708 23293517 26497458 30460753 32252562 46587034 52994916 60921506 64505124 69880551 91382259 93174068 121843012 139761102 182764518 209641653 274146777 279522204 365529036 395989789 419283306 548293554 791979578 838566612 1096587108 1187969367 1583959156 2375938734 3563908101 4751877468 7127816202 14255632404