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14144405200000 = 275535361013
BaseRepresentation
bin1100110111010100000000…
…1111110101110010000000
31212002012011220210011212021
43031311000033311302000
53323220220212400000
650025503335411224
72656620355323415
oct315650017656200
955065156704767
1014144405200000
114563676a9a789
121705344823b14
137b7a72379a5a
1436c842b6a10c
15197ddd73411a
hexcdd403f5c80

14144405200000 has 96 divisors (see below), whose sum is σ = 35220630774420. Its totient is φ = 5657761920000.

The previous prime is 14144405199961. The next prime is 14144405200019. The reversal of 14144405200000 is 250444141.

It can be written as a sum of positive squares in 6 ways, for example, as 468195325504 + 13676209874496 = 684248^2 + 3698136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17280507 + ... + 18080506.

Almost surely, 214144405200000 is an apocalyptic number.

14144405200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144405200000 is an abundant number, since it is smaller than the sum of its proper divisors (21076225574420).

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

14144405200000 is an frugal number, since it uses more digits than its factorization.

14144405200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35361052 (or 35361020 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 14144405200000 its reverse (250444141), we get a palindrome (14144655644141).

The spelling of 14144405200000 in words is "fourteen trillion, one hundred forty-four billion, four hundred five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 35361013 70722026 141444052 176805065 282888104 353610130 565776208 707220260 884025325 1131552416 1414440520 1768050650 2263104832 2828881040 3536101300 4420126625 4526209664 5657762080 7072202600 8840253250 11315524160 14144405200 17680506500 22100633125 22631048320 28288810400 35361013000 44201266250 56577620800 70722026000 88402532500 110503165625 113155241600 141444052000 176805065000 221006331250 282888104000 353610130000 442012662500 565776208000 707220260000 884025325000 1414440520000 1768050650000 2828881040000 3536101300000 7072202600000 14144405200000