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14113432120000 = 26542631341581
BaseRepresentation
bin1100110101100000101000…
…0110111010101011000000
31211222020020100110200200011
43031120022012322223000
53322213302110320000
650003342103034304
72654443001433553
oct315301206725300
954866210420604
1014113432120000
11455152254a304
1216bb33ba3b994
137b4b77511895
1436b1453c069a
151971c94952ba
hexcd60a1baac0

14113432120000 has 140 divisors (see below), whose sum is σ = 35129818372176. Its totient is φ = 5623903360000.

The previous prime is 14113432119973. The next prime is 14113432120091. The reversal of 14113432120000 is 2123431141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9849210 + ... + 11190790.

Almost surely, 214113432120000 is an apocalyptic number.

14113432120000 is a gapful number since it is divisible by the number (10) 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 14113432120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564909186088).

14113432120000 is an abundant number, since it is smaller than the sum of its proper divisors (21016386252176).

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

14113432120000 is an equidigital number, since it uses as much as digits as its factorization.

14113432120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341876 (or 1341851 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14113432120000 its reverse (2123431141), we get a palindrome (14115555551141).

The spelling of 14113432120000 in words is "fourteen trillion, one hundred thirteen billion, four hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 263 320 400 500 526 625 800 1000 1052 1250 1315 1600 2000 2104 2500 2630 4000 4208 5000 5260 6575 8000 8416 10000 10520 13150 16832 20000 21040 26300 32875 40000 42080 52600 65750 84160 105200 131500 164375 210400 263000 328750 420800 526000 657500 1052000 1315000 1341581 2104000 2630000 2683162 5260000 5366324 6707905 10520000 10732648 13415810 21465296 26831620 33539525 42930592 53663240 67079050 85861184 107326480 134158100 167697625 214652960 268316200 335395250 352835803 429305920 536632400 670790500 705671606 838488125 1073264800 1341581000 1411343212 1676976250 1764179015 2146529600 2683162000 2822686424 3353952500 3528358030 5366324000 5645372848 6707905000 7056716060 8820895075 10732648000 11290745696 13415810000 14113432120 17641790150 22581491392 26831620000 28226864240 35283580300 44104475375 53663240000 56453728480 70567160600 88208950750 112907456960 141134321200 176417901500 220522376875 282268642400 352835803000 441044753750 564537284800 705671606000 882089507500 1411343212000 1764179015000 2822686424000 3528358030000 7056716060000 14113432120000