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14053051400 = 23523712911471
BaseRepresentation
bin11010001011010000…
…01000110000001000
31100021101021222102012
431011220020300020
5212240040121100
610242245355052
71005150652223
oct150550106010
940241258365
1014053051400
115a61643573
122882408a88
13142c5c513b
149745665ba
15573b12135
hex345a08c08

14053051400 has 96 divisors (see below), whose sum is σ = 33605230080. Its totient is φ = 5461344000.

The previous prime is 14053051367. The next prime is 14053051421. The reversal of 14053051400 is 415035041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9552665 + ... + 9554135.

It is an arithmetic number, because the mean of its divisors is an integer number (350054480).

Almost surely, 214053051400 is an apocalyptic number.

14053051400 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 14053051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802615040).

14053051400 is an abundant number, since it is smaller than the sum of its proper divisors (19552178680).

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

14053051400 is a wasteful number, since it uses less digits than its factorization.

14053051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 14053051400 its reverse (415035041), we get a palindrome (14468086441).

The spelling of 14053051400 in words is "fourteen billion, fifty-three million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1291 1471 1480 1850 2582 2942 3700 5164 5884 6455 7355 7400 10328 11768 12910 14710 25820 29420 32275 36775 47767 51640 54427 58840 64550 73550 95534 108854 129100 147100 191068 217708 238835 258200 272135 294200 382136 435416 477670 544270 955340 1088540 1194175 1360675 1899061 1910680 2177080 2388350 2721350 3798122 4776700 5442700 7596244 9495305 9553400 10885400 15192488 18990610 37981220 47476525 70265257 75962440 94953050 140530514 189906100 281061028 351326285 379812200 562122056 702652570 1405305140 1756631425 2810610280 3513262850 7026525700 14053051400