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14132221400 = 2352116423737
BaseRepresentation
bin11010010100101100…
…01001010111011000
31100110220021020020102
431022112021113120
5212420322041100
610254154314532
71010131620443
oct151226112730
940426236212
1014132221400
115aa22a8120
1228a4a28a48
131442b247ab
14980c9465a
1557aa4ecd5
hex34a5895d8

14132221400 has 48 divisors (see below), whose sum is σ = 35844458040. Its totient is φ = 5138988800.

The previous prime is 14132221387. The next prime is 14132221403. The reversal of 14132221400 is 412223141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132221403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3209669 + ... + 3214068.

Almost surely, 214132221400 is an apocalyptic number.

14132221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132221400 is an abundant number, since it is smaller than the sum of its proper divisors (21712236640).

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

14132221400 is a wasteful number, since it uses less digits than its factorization.

14132221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423764 (or 6423755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14132221400 its reverse (412223141), we get a palindrome (14544444541).

It can be divided in two parts, 14132 and 221400, that added together give a palindrome (235532).

The spelling of 14132221400 in words is "fourteen billion, one hundred thirty-two million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 6423737 12847474 25694948 32118685 51389896 64237370 70661107 128474740 141322214 160593425 256949480 282644428 321186850 353305535 565288856 642373700 706611070 1284747400 1413222140 1766527675 2826444280 3533055350 7066110700 14132221400