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14102022400 = 28522203441
BaseRepresentation
bin11010010001000101…
…11100100100000000
31100101210102221222221
431020202330210000
5212340104204100
610251155140424
71006314132634
oct151042744400
940353387887
1014102022400
115a87251174
1228968a4714
1314397b006b
1497ac72dc4
1557808701a
hex3488bc900

14102022400 has 54 divisors (see below), whose sum is σ = 34904724722. Its totient is φ = 5640806400.

The previous prime is 14102022379. The next prime is 14102022401. The reversal of 14102022400 is 422020141.

It can be written as a sum of positive squares in 3 ways, for example, as 396169216 + 13705853184 = 19904^2 + 117072^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14102022401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1095321 + ... + 1108120.

Almost surely, 214102022400 is an apocalyptic number.

14102022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14102022400 is an abundant number, since it is smaller than the sum of its proper divisors (20802702322).

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

14102022400 is an equidigital number, since it uses as much as digits as its factorization.

14102022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203467 (or 2203448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14102022400 its reverse (422020141), we get a palindrome (14524042541).

The spelling of 14102022400 in words is "fourteen billion, one hundred two million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 2203441 4406882 8813764 11017205 17627528 22034410 35255056 44068820 55086025 70510112 88137640 110172050 141020224 176275280 220344100 282040448 352550560 440688200 564080896 705101120 881376400 1410202240 1762752800 2820404480 3525505600 7051011200 14102022400