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14310894383568 = 2432477109297439
BaseRepresentation
bin1101000001000000001111…
…0001101011000111010000
31212200002220211120000020100
43100100003301223013100
53333432202430233233
650234200100412400
73004633206122226
oct320200361530720
955602824500210
1014310894383568
114618241882572
1217316696a7100
137ca685b4b163
1437691842ab16
1519c3d4c37813
hexd0403c6b1d0

14310894383568 has 120 divisors (see below), whose sum is σ = 40908660249600. Its totient is φ = 4668129983232.

The previous prime is 14310894383561. The next prime is 14310894383609. The reversal of 14310894383568 is 86538349801341.

14310894383568 is a `hidden beast` number, since 1 + 4 + 3 + 108 + 9 + 438 + 35 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310894383561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47964993 + ... + 48262431.

It is an arithmetic number, because the mean of its divisors is an integer number (340905502080).

Almost surely, 214310894383568 is an apocalyptic number.

14310894383568 is a gapful number since it is divisible by the number (18) 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 14310894383568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20454330124800).

14310894383568 is an abundant number, since it is smaller than the sum of its proper divisors (26597765866032).

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

14310894383568 is a wasteful number, since it uses less digits than its factorization.

14310894383568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304609 (or 304600 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 14310894383568 in words is "fourteen trillion, three hundred ten billion, eight hundred ninety-four million, three hundred eighty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 7109 14218 21327 28436 42654 56872 63981 85308 113744 127962 170616 255924 297439 334123 341232 511848 594878 668246 892317 1002369 1023696 1189756 1336492 1784634 2004738 2379512 2672984 2676951 3007107 3569268 4009476 4759024 5345968 5353902 6014214 7138536 8018952 10707804 12028428 13979633 14277072 16037904 21415608 24056856 27959266 41938899 42831216 48113712 55918532 83877798 111837064 125816697 167755596 223674128 251633394 335511192 503266788 671022384 1006533576 2013067152 2114493851 4228987702 6343481553 8457975404 12686963106 16915950808 19030444659 25373926212 33831901616 38060889318 50747852424 76121778636 99381210997 101495704848 152243557272 198762421994 298143632991 304487114544 397524843988 596287265982 795049687976 894430898973 1192574531964 1590099375952 1788861797946 2385149063928 3577723595892 4770298127856 7155447191784 14310894383568