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14324323145352 = 2331131874923917
BaseRepresentation
bin1101000001110010010000…
…1100010101011010001000
31212201101120201010210021220
43100130210030111122020
53334142203211122402
650244300405402040
73005620036532223
oct320344414253210
955641521123256
1014324323145352
114622a02a88000
121734196a09320
137cba15cc194c
1437742dac65ba
1519c91db2edbc
hexd0724315688

14324323145352 has 128 divisors (see below), whose sum is σ = 39392946000000. Its totient is φ = 4340290986240.

The previous prime is 14324323145351. The next prime is 14324323145389. The reversal of 14324323145352 is 25354132342341.

It is not an unprimeable number, because it can be changed into a prime (14324323145351) 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 31 ways as a sum of consecutive naturals, for example, 598906098 + ... + 598930014.

It is an arithmetic number, because the mean of its divisors is an integer number (307757390625).

Almost surely, 214324323145352 is an apocalyptic number.

14324323145352 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 14324323145352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696473000000).

14324323145352 is an abundant number, since it is smaller than the sum of its proper divisors (25068622854648).

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

14324323145352 is a wasteful number, since it uses less digits than its factorization.

14324323145352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708 (or 42682 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

Adding to 14324323145352 its reverse (25354132342341), we get a palindrome (39678455487693).

The spelling of 14324323145352 in words is "fourteen trillion, three hundred twenty-four billion, three hundred twenty-three million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 18749 23917 31944 37498 47834 56247 71751 74996 95668 112494 143502 149992 191336 206239 224988 263087 287004 412478 449976 526174 574008 618717 789261 824956 1052348 1237434 1578522 1649912 2104696 2268629 2474868 2893957 3157044 4537258 4949736 5787914 6314088 6805887 8681871 9074516 11575828 13611774 17363742 18149032 23151656 24954919 27223548 31833527 34727484 49909838 54447096 63667054 69454968 74864757 95500581 99819676 127334108 149729514 191001162 199639352 254668216 299459028 382002324 448419833 598918056 764004648 896839666 1345259499 1793679332 2690518998 3587358664 4932618163 5381037996 9865236326 10762075992 14797854489 19730472652 29595708978 39460945304 54258799793 59191417956 108517599586 118382835912 162776399379 217035199172 325552798758 434070398344 596846797723 651105597516 1193693595446 1302211195032 1790540393169 2387387190892 3581080786338 4774774381784 7162161572676 14324323145352