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14130131002400 = 255272523237679
BaseRepresentation
bin1100110110011110110101…
…1100000110010000100000
31212000211100010100210220002
43031213231130012100200
53323002002014034100
650015143110035132
72655603550542110
oct315475534062040
955024303323802
1014130131002400
114558611640866
121702620348aa8
137b660900559a
1436bc8b0b9040
151978554dc2d5
hexcd9ed706420

14130131002400 has 72 divisors (see below), whose sum is σ = 39423065512320. Its totient is φ = 4844616341760.

The previous prime is 14130131002373. The next prime is 14130131002439. The reversal of 14130131002400 is 420013103141.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1261613240 + ... + 1261624439.

It is an arithmetic number, because the mean of its divisors is an integer number (547542576560).

Almost surely, 214130131002400 is an apocalyptic number.

14130131002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130131002400 is an abundant number, since it is smaller than the sum of its proper divisors (25292934509920).

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

14130131002400 is a wasteful number, since it uses less digits than its factorization.

14130131002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523237706 (or 2523237693 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14130131002400 its reverse (420013103141), we get a palindrome (14550144105541).

The spelling of 14130131002400 in words is "fourteen trillion, one hundred thirty billion, one hundred thirty-one million, two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 2523237679 5046475358 10092950716 12616188395 17662663753 20185901432 25232376790 35325327506 40371802864 50464753580 63080941975 70650655012 80743605728 88313318765 100929507160 126161883950 141301310024 176626637530 201859014320 252323767900 282602620048 353253275060 403718028640 441566593825 504647535800 565205240096 706506550120 883133187650 1009295071600 1413013100240 1766266375300 2018590143200 2826026200480 3532532750600 7065065501200 14130131002400