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14213400012200 = 23522924111016419
BaseRepresentation
bin1100111011010101000010…
…1010001010010110101000
31212022210021021200210022002
43032311100222022112220
53330333020400342300
650121313521550132
72664612205464404
oct316652052122650
955283237623262
1014213400012200
11458a961845334
12171679aaa5348
137c141948bb0c
14371d0a084104
15199aca98b5d5
hexced50a8a5a8

14213400012200 has 96 divisors (see below), whose sum is σ = 34199890308000. Its totient is φ = 5487030931200.

The previous prime is 14213400012191. The next prime is 14213400012299. The reversal of 14213400012200 is 221000431241.

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 23 ways as a sum of consecutive naturals, for example, 13475591 + ... + 14492009.

It is an arithmetic number, because the mean of its divisors is an integer number (356248857375).

Almost surely, 214213400012200 is an apocalyptic number.

14213400012200 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 14213400012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099945154000).

14213400012200 is an abundant number, since it is smaller than the sum of its proper divisors (19986490295800).

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

14213400012200 is a wasteful number, since it uses less digits than its factorization.

14213400012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018875 (or 1018866 counting only the distinct ones).

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

Adding to 14213400012200 its reverse (221000431241), we get a palindrome (14434400443441).

The spelling of 14213400012200 in words is "fourteen trillion, two hundred thirteen billion, four hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2411 2900 4822 5800 9644 12055 19288 24110 48220 60275 69919 96440 120550 139838 241100 279676 349595 482200 559352 699190 1016419 1398380 1747975 2032838 2796760 3495950 4065676 5082095 6991900 8131352 10164190 13983800 20328380 25410475 29476151 40656760 50820950 58952302 101641900 117904604 147380755 203283800 235809208 294761510 589523020 736903775 1179046040 1473807550 2450586209 2947615100 4901172418 5895230200 9802344836 12252931045 19604689672 24505862090 49011724180 61264655225 71067000061 98023448360 122529310450 142134000122 245058620900 284268000244 355335000305 490117241800 568536000488 710670000610 1421340001220 1776675001525 2842680002440 3553350003050 7106700006100 14213400012200