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114014344240 = 2451975009437
BaseRepresentation
bin110101000101111001…
…0001101010000110000
3101220021212002210102101
41222023302031100300
53332000133003430
6124213311030144
711144244635656
oct1521362152060
9356255083371
10114014344240
1144398141385
121a11b20b354
13a9a00a1624
1457383ccdd6
152e74752dca
hex1a8bc8d430

114014344240 has 40 divisors (see below), whose sum is σ = 279035109360. Its totient is φ = 43205435136.

The previous prime is 114014344237. The next prime is 114014344253. The reversal of 114014344240 is 42443410411.

114014344240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 114014344199 and 114014344208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37503199 + ... + 37506238.

It is an arithmetic number, because the mean of its divisors is an integer number (6975877734).

Almost surely, 2114014344240 is an apocalyptic number.

114014344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114014344240 is an abundant number, since it is smaller than the sum of its proper divisors (165020765120).

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

114014344240 is a wasteful number, since it uses less digits than its factorization.

114014344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75009469 (or 75009463 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114014344240 its reverse (42443410411), we get a palindrome (156457754651).

The spelling of 114014344240 in words is "one hundred fourteen billion, fourteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 75009437 150018874 300037748 375047185 600075496 750094370 1200150992 1425179303 1500188740 2850358606 3000377480 5700717212 6000754960 7125896515 11401434424 14251793030 22802868848 28503586060 57007172120 114014344240