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14213104000000 = 21056888319
BaseRepresentation
bin1100111011010011111100…
…0000111101110000000000
31212022202111122200210220021
43032310333000331300000
53330331414111000000
650121224305223224
72664601652434153
oct316647700756000
955282448623807
1014213104000000
11458a81a744a54
121716717931b14
137c13a0059179
14371cbca2bc9a
15199aae9b911a
hexced3f03dc00

14213104000000 has 154 divisors (see below), whose sum is σ = 35514995402240. Its totient is φ = 5685235200000.

The previous prime is 14213103999931. The next prime is 14213104000021. The reversal of 14213104000000 is 40131241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15555841 + ... + 16444159.

Almost surely, 214213104000000 is an apocalyptic number.

14213104000000 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 14213104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757497701120).

14213104000000 is an abundant number, since it is smaller than the sum of its proper divisors (21301891402240).

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

14213104000000 is an frugal number, since it uses more digits than its factorization.

14213104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888369 (or 888326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14213104000000 its reverse (40131241), we get a palindrome (14213144131241).

The spelling of 14213104000000 in words is "fourteen trillion, two hundred thirteen billion, one hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 250000 320000 400000 500000 640000 800000 888319 1000000 1600000 1776638 2000000 3200000 3553276 4000000 4441595 7106552 8000000 8883190 14213104 16000000 17766380 22207975 28426208 35532760 44415950 56852416 71065520 88831900 111039875 113704832 142131040 177663800 222079750 227409664 284262080 355327600 444159500 454819328 555199375 568524160 710655200 888319000 909638656 1110398750 1137048320 1421310400 1776638000 2220797500 2274096640 2775996875 2842620800 3553276000 4441595000 4548193280 5551993750 5685241600 7106552000 8883190000 11103987500 11370483200 13879984375 14213104000 17766380000 22207975000 22740966400 27759968750 28426208000 35532760000 44415950000 55519937500 56852416000 71065520000 88831900000 111039875000 113704832000 142131040000 177663800000 222079750000 284262080000 355327600000 444159500000 568524160000 710655200000 888319000000 1421310400000 1776638000000 2842620800000 3553276000000 7106552000000 14213104000000