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14310323144334 = 2327679397180391
BaseRepresentation
bin1101000000111110000110…
…1110100100011010001110
31212200001110000200001022200
43100033201232210122032
53333430020211104314
650234023253022330
73004613101510560
oct320174156443216
955601400601280
1014310323144334
114617a79389028
12173152a3249a6
137ca5c46b2489
143768a260d330
1519c39e9eb709
hexd03e1ba468e

14310323144334 has 96 divisors (see below), whose sum is σ = 35967994323456. Its totient is φ = 4027187989440.

The previous prime is 14310323144317. The next prime is 14310323144353. The reversal of 14310323144334 is 43344132301341.

14310323144334 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 0 + 3 + 2 + 314 + 4 + 334 = 666.

It is a super-2 number, since 2×143103231443342 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79239279 + ... + 79419669.

It is an arithmetic number, because the mean of its divisors is an integer number (374666607536).

Almost surely, 214310323144334 is an apocalyptic number.

14310323144334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14310323144334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983997161728).

14310323144334 is an abundant number, since it is smaller than the sum of its proper divisors (21657671179122).

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

14310323144334 is a wasteful number, since it uses less digits than its factorization.

14310323144334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189870 (or 189867 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 14310323144334 its reverse (43344132301341), we get a palindrome (57654455445675).

The spelling of 14310323144334 in words is "fourteen trillion, three hundred ten billion, three hundred twenty-three million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 9397 18794 28191 56382 65779 84573 131558 169146 180391 197337 360782 394674 541173 592011 629599 1082346 1184022 1259198 1262737 1623519 1888797 2525474 3247038 3777594 3788211 4407193 5666391 7576422 8814386 11332782 11364633 12086197 13221579 22729266 24172394 26443158 36258591 39664737 72517182 79329474 84603379 108775773 169206758 217551546 253810137 507620274 761430411 1522860822 1695134227 3390268454 5085402681 10170805362 11865939589 15256208043 23731879178 30512416086 35597818767 71195637534 106793456301 113573993209 213586912602 227147986418 340721979627 681443959254 795017952463 1022165938881 1590035904926 2044331877762 2385053857389 4770107714778 7155161572167 14310323144334