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14355544130000 = 24549337153749
BaseRepresentation
bin1101000011100110100100…
…0110111100000111010000
31212211101011112221010201122
43100321221012330013100
53340200123244130000
650310502415421412
73011103523526123
oct320715106740720
955741145833648
1014355544130000
11463517445a957
12173a24a824868
13801950317868
14378b523643ba
1519d649a3c085
hexd0e691bc1d0

14355544130000 has 100 divisors (see below), whose sum is σ = 34760156392500. Its totient is φ = 5741565312000.

The previous prime is 14355544129981. The next prime is 14355544130017. The reversal of 14355544130000 is 3144555341.

It can be written as a sum of positive squares in 10 ways, for example, as 8860814330944 + 5494729799056 = 2976712^2 + 2344084^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93293126 + ... + 93446874.

It is an arithmetic number, because the mean of its divisors is an integer number (347601563925).

Almost surely, 214355544130000 is an apocalyptic number.

14355544130000 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 14355544130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380078196250).

14355544130000 is an abundant number, since it is smaller than the sum of its proper divisors (20404612262500).

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

14355544130000 is an equidigital number, since it uses as much as digits as its factorization.

14355544130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163114 (or 163093 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 14355544130000 its reverse (3144555341), we get a palindrome (14358688685341).

The spelling of 14355544130000 in words is "fourteen trillion, three hundred fifty-five billion, five hundred forty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9337 10000 18674 37348 46685 74696 93370 149392 153749 186740 233425 307498 373480 466850 614996 746960 768745 933700 1167125 1229992 1537490 1867400 2334250 2459984 3074980 3734800 3843725 4668500 5835625 6149960 7687450 9337000 11671250 12299920 15374900 18674000 19218625 23342500 30749800 38437250 46685000 61499600 76874500 93370000 96093125 153749000 192186250 307498000 384372500 768745000 1435554413 1537490000 2871108826 5742217652 7177772065 11484435304 14355544130 22968870608 28711088260 35888860325 57422176520 71777720650 114844353040 143555441300 179444301625 287110882600 358888603250 574221765200 717777206500 897221508125 1435554413000 1794443016250 2871108826000 3588886032500 7177772065000 14355544130000