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13414221200 = 245246372431
BaseRepresentation
bin11000111111000110…
…01100010110010000
31021121212020001010102
430133203030112100
5204433020034300
610055025151532
7653262666422
oct143743142620
937555201112
1013414221200
115763a83a26
12272448b5a8
13135a1522c3
14913792812
155379c40d5
hex31f8cc590

13414221200 has 60 divisors (see below), whose sum is σ = 32297718528. Its totient is φ = 5354025600.

The previous prime is 13414221193. The next prime is 13414221211. The reversal of 13414221200 is 212241431.

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, 148985 + ... + 221415.

Almost surely, 213414221200 is an apocalyptic number.

13414221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148859264).

13414221200 is an abundant number, since it is smaller than the sum of its proper divisors (18883497328).

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

13414221200 is a wasteful number, since it uses less digits than its factorization.

13414221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72912 (or 72901 counting only the distinct ones).

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

Adding to 13414221200 its reverse (212241431), we get a palindrome (13626462631).

The spelling of 13414221200 in words is "thirteen billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 463 926 1852 2315 3704 4630 7408 9260 11575 18520 23150 37040 46300 72431 92600 144862 185200 289724 362155 579448 724310 1158896 1448620 1810775 2897240 3621550 5794480 7243100 14486200 28972400 33535553 67071106 134142212 167677765 268284424 335355530 536568848 670711060 838388825 1341422120 1676777650 2682844240 3353555300 6707110600 13414221200