Search a number
-
+
14314314431802 = 23711113747736671
BaseRepresentation
bin1101000001001100111110…
…1000000111110100111010
31212200102202011222110102110
43100103033220013310322
53334011203443304202
650235523312113150
73005114025056310
oct320231750076472
955612664873373
1014314314431802
114619737361410
121732262b357b6
137caaac573338
14376b607360b0
1519c53510026c
hexd04cfa07d3a

14314314431802 has 128 divisors (see below), whose sum is σ = 36014499790848. Its totient is φ = 3684507724800.

The previous prime is 14314314431801. The next prime is 14314314431839. The reversal of 14314314431802 is 20813441341341.

14314314431802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14314314431801) 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, 390325927 + ... + 390362597.

It is an arithmetic number, because the mean of its divisors is an integer number (281363279616).

Almost surely, 214314314431802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314314431802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007249895424).

14314314431802 is an abundant number, since it is smaller than the sum of its proper divisors (21700185359046).

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

14314314431802 is a wasteful number, since it uses less digits than its factorization.

14314314431802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44284.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 14314314431802 in words is "fourteen trillion, three hundred fourteen billion, three hundred fourteen million, four hundred thirty-one thousand, eight hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 226 231 339 462 678 791 1243 1582 2373 2486 3729 4746 7458 7477 8701 14954 17402 22431 26103 36671 44862 52206 52339 73342 82247 104678 110013 157017 164494 220026 246741 256697 314034 403381 493482 513394 575729 770091 806762 844901 1151458 1210143 1540182 1689802 1727187 2420286 2534703 2823667 3454374 4143823 5069406 5647334 5914307 8287646 8471001 9293911 11828614 12431469 16942002 17742921 18587822 24862938 27881733 29006761 35485842 45582053 55763466 58013522 65057377 87020283 91164106 130114754 136746159 174040566 195172131 273492318 274189067 319074371 390344262 548378134 638148742 822567201 957223113 1645134402 1914446226 1919323469 3016079737 3838646938 5757970407 6032159474 9048239211 11515940814 18096478422 21112558159 30983364571 42225116318 61966729142 63337674477 92950093713 126675348954 185900187426 216883551997 340817010281 433767103994 650650655991 681634020562 1022451030843 1301301311982 2044902061686 2385719071967 4771438143934 7157157215901 14314314431802