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14122222222140 = 22325712574299709
BaseRepresentation
bin1100110110000001011000…
…0010011111101100111100
31212000001220221121010221200
43031200112002133230330
53322334302342102030
650011354225255500
72655203555164524
oct315402602375474
955001827533850
1014122222222140
11455522330812a
121700b93794590
137b5948650656
1436b73a998684
1519754100ed60
hexcd81609fb3c

14122222222140 has 144 divisors (see below), whose sum is σ = 43609791476160. Its totient is φ = 3698436833280.

The previous prime is 14122222222103. The next prime is 14122222222151. The reversal of 14122222222140 is 4122222222141.

14122222222140 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 222 + 222 + 214 + 0 = 666.

14122222222140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1134606 + ... + 5434314.

It is an arithmetic number, because the mean of its divisors is an integer number (302845774140).

Almost surely, 214122222222140 is an apocalyptic number.

14122222222140 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 14122222222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804895738080).

14122222222140 is an abundant number, since it is smaller than the sum of its proper divisors (29487569254020).

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

14122222222140 is a wasteful number, since it uses less digits than its factorization.

14122222222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300052 (or 4300047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14122222222140 its reverse (4122222222141), we get a palindrome (18244444444281).

Subtracting from 14122222222140 its reverse (4122222222141), we obtain a palindrome (9999999999999).

The spelling of 14122222222140 in words is "fourteen trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 257 284 355 426 514 639 710 771 852 1028 1065 1278 1285 1420 1542 2130 2313 2556 2570 3084 3195 3855 4260 4626 5140 6390 7710 9252 11565 12780 15420 18247 23130 36494 46260 54741 72988 91235 109482 164223 182470 218964 273705 328446 364940 547410 656892 821115 1094820 1642230 3284460 4299709 8599418 12899127 17198836 21498545 25798254 38697381 42997090 51596508 64495635 77394762 85994180 128991270 154789524 193486905 257982540 305279339 386973810 610558678 773947620 915838017 1105025213 1221117356 1526396695 1831676034 2210050426 2747514051 3052793390 3315075639 3663352068 4420100852 4579190085 5495028102 5525126065 6105586780 6630151278 9158380170 9945226917 10990056204 11050252130 13260302556 13737570255 16575378195 18316760340 19890453834 22100504260 27475140510 33150756390 39780907668 49726134585 54950281020 66301512780 78456790123 99452269170 156913580246 198904538340 235370370369 313827160492 392283950615 470740740738 706111111107 784567901230 941481481476 1176851851845 1412222222214 1569135802460 2353703703690 2824444444428 3530555555535 4707407407380 7061111111070 14122222222140