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14310112403412 = 22327661280130671
BaseRepresentation
bin1101000000111101010100…
…1010101001111111010100
31212200000220100010022010100
43100033111022221333110
53333424102233402122
650233550324054100
73004604632316550
oct320172512517724
955600810108110
1014310112403412
11461798042a281
12173148b834330
137ca58cb372c7
14376882632860
1519c38b26eaac
hexd03d52a9fd4

14310112403412 has 144 divisors (see below), whose sum is σ = 41418998659584. Its totient is φ = 4080827520000.

The previous prime is 14310112403339. The next prime is 14310112403429. The reversal of 14310112403412 is 21430421101341.

It is a happy number.

14310112403412 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 0 + 1 + 1 + 240 + 3 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466552837 + ... + 466583507.

It is an arithmetic number, because the mean of its divisors is an integer number (287631935136).

Almost surely, 214310112403412 is an apocalyptic number.

14310112403412 is a gapful number since it is divisible by the number (12) 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 14310112403412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20709499329792).

14310112403412 is an abundant number, since it is smaller than the sum of its proper divisors (27108886256172).

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

14310112403412 is a wasteful number, since it uses less digits than its factorization.

14310112403412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34150 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14310112403412 its reverse (21430421101341), we get a palindrome (35740533504753).

The spelling of 14310112403412 in words is "fourteen trillion, three hundred ten billion, one hundred twelve million, four hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 661 1322 1983 2644 2801 3966 4627 5602 5949 7932 8403 9254 11204 11898 13881 16806 18508 19607 23796 25209 27762 30671 33612 39214 41643 50418 55524 58821 61342 78428 83286 92013 100836 117642 122684 166572 176463 184026 214697 235284 276039 352926 368052 429394 552078 644091 705852 858788 1104156 1288182 1851461 1932273 2576364 3702922 3864546 5554383 7405844 7729092 11108766 12960227 16663149 20273531 22217532 25920454 33326298 38880681 40547062 51840908 60820593 66652596 77761362 81094124 85909471 116642043 121641186 141914717 155522724 171818942 182461779 233284086 243282372 257728413 283829434 343637884 364923558 425744151 466568172 515456826 567658868 601366297 729847116 773185239 851488302 1030913652 1202732594 1277232453 1546370478 1702976604 1804098891 2405465188 2554464906 3092740956 3608197782 5108929812 5412296673 7216395564 10824593346 21649186692 56786160331 113572320662 170358480993 227144641324 340716961986 397503122317 511075442979 681433923972 795006244634 1022150885958 1192509366951 1590012489268 2044301771916 2385018733902 3577528100853 4770037467804 7155056201706 14310112403412