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14420532130000 = 24546412249693
BaseRepresentation
bin1101000111011000101010…
…1100011111000011010000
31220001120220200022121010121
43101312022230133003100
53342231222211130000
650400411230040024
73015564141441643
oct321661254370320
956046820277117
1014420532130000
11465a793499167
12174a967049014
13807b09291629
1437bd59473a5a
151a01a0125b1a
hexd1d8ab1f0d0

14420532130000 has 100 divisors (see below), whose sum is σ = 34968033200628. Its totient is φ = 5759211520000.

The previous prime is 14420532129947. The next prime is 14420532130007. The reversal of 14420532130000 is 3123502441.

It can be written as a sum of positive squares in 10 ways, for example, as 7503611089984 + 6916921040016 = 2739272^2 + 2630004^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420532130007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5285154 + ... + 7534846.

Almost surely, 214420532130000 is an apocalyptic number.

14420532130000 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 14420532130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484016600314).

14420532130000 is an abundant number, since it is smaller than the sum of its proper divisors (20547501070628).

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

14420532130000 is an equidigital number, since it uses as much as digits as its factorization.

14420532130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250362 (or 2250341 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14420532130000 its reverse (3123502441), we get a palindrome (14423655632441).

The spelling of 14420532130000 in words is "fourteen trillion, four hundred twenty billion, five hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 641 1000 1250 1282 2000 2500 2564 3205 5000 5128 6410 10000 10256 12820 16025 25640 32050 51280 64100 80125 128200 160250 256400 320500 400625 641000 801250 1282000 1602500 2249693 3205000 4499386 6410000 8998772 11248465 17997544 22496930 35995088 44993860 56242325 89987720 112484650 179975440 224969300 281211625 449938600 562423250 899877200 1124846500 1406058125 1442053213 2249693000 2812116250 2884106426 4499386000 5624232500 5768212852 7210266065 11248465000 11536425704 14420532130 22496930000 23072851408 28841064260 36051330325 57682128520 72102660650 115364257040 144205321300 180256651625 288410642600 360513303250 576821285200 721026606500 901283258125 1442053213000 1802566516250 2884106426000 3605133032500 7210266065000 14420532130000