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14020202030400 = 2632523726314193
BaseRepresentation
bin1100110000000101010100…
…1010010110010101000000
31211122022120222121102121200
43030001111022112111000
53314201333204433100
645452443014421200
72644632450646266
oct314012512262500
954568528542550
1014020202030400
114515a305a4085
1216a5261361800
137a913a4470a7
1436681d504436
15194a6e774e00
hexcc055296540

14020202030400 has 252 divisors, whose sum is σ = 51177896998332. Its totient is φ = 3637673902080.

The previous prime is 14020202030369. The next prime is 14020202030431. The reversal of 14020202030400 is 403020202041.

14020202030400 is a `hidden beast` number, since 1 + 40 + 2 + 0 + 20 + 203 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (14020202030369) and next prime (14020202030431).

It can be written as a sum of positive squares in 6 ways, for example, as 61190927424 + 13959011102976 = 247368^2 + 3736176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12624297 + ... + 13689896.

Almost surely, 214020202030400 is an apocalyptic number.

14020202030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14020202030400 is an abundant number, since it is smaller than the sum of its proper divisors (37157694967932).

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

14020202030400 is a wasteful number, since it uses less digits than its factorization.

14020202030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314258 (or 26314240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14020202030400 its reverse (403020202041), we get a palindrome (14423222232441).

The spelling of 14020202030400 in words is "fourteen trillion, twenty billion, two hundred two million, thirty thousand, four hundred".