Search a number
-
+
14314242143040 = 263576731792471
BaseRepresentation
bin1101000001001100101101…
…0100010111001101000000
31212200102120010221210212220
43100103023110113031000
53334011031442034130
650235512210451040
73005112156451020
oct320231324271500
955612503853786
1014314242143040
1146196aa577834
121732242893a80
137caa9a5b2b18
14376b54cb9a80
1519c52dac1410
hexd04cb517340

14314242143040 has 224 divisors, whose sum is σ = 52715479332864. Its totient is φ = 3222993438720.

The previous prime is 14314242143023. The next prime is 14314242143051. The reversal of 14314242143040 is 4034124241341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 14314242142992 and 14314242143010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15445996 + ... + 16346475.

Almost surely, 214314242143040 is an apocalyptic number.

14314242143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314242143040 is an abundant number, since it is smaller than the sum of its proper divisors (38401237189824).

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

14314242143040 is a wasteful number, since it uses less digits than its factorization.

14314242143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31792565 (or 31792555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14314242143040 its reverse (4034124241341), we get a palindrome (18348366384381).

The spelling of 14314242143040 in words is "fourteen trillion, three hundred fourteen billion, two hundred forty-two million, one hundred forty-three thousand, forty".