Search a number
-
+
14042313101120 = 26573601126417
BaseRepresentation
bin1100110001010111101100…
…0101011000111101000000
31211201102122221111012110212
43030111323011120331000
53320032124123213440
645510541035413252
72646344415646313
oct314257305307500
954642587435425
1014042313101120
114524347732847
1216a95b22b4228
137ab2522b78a5
14367919d1897a
151954159e3465
hexcc57b158f40

14042313101120 has 56 divisors (see below), whose sum is σ = 33896316458184. Its totient is φ = 5539981049856.

The previous prime is 14042313101093. The next prime is 14042313101123. The reversal of 14042313101120 is 2110131324041.

It can be written as a sum of positive squares in 4 ways, for example, as 1071539663104 + 12970773438016 = 1035152^2 + 3601496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042313101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300539849 + ... + 300586568.

Almost surely, 214042313101120 is an apocalyptic number.

14042313101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042313101120 is an abundant number, since it is smaller than the sum of its proper divisors (19854003357064).

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

14042313101120 is an equidigital number, since it uses as much as digits as its factorization.

14042313101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601126507 (or 601126497 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 14042313101120 its reverse (2110131324041), we get a palindrome (16152444425161).

The spelling of 14042313101120 in words is "fourteen trillion, forty-two billion, three hundred thirteen million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 23360 601126417 1202252834 2404505668 3005632085 4809011336 6011264170 9618022672 12022528340 19236045344 24045056680 38472090688 43882228441 48090113360 87764456882 96180226720 175528913764 192360453440 219411142205 351057827528 438822284410 702115655056 877644568820 1404231310112 1755289137640 2808462620224 3510578275280 7021156550560 14042313101120