Search a number
-
+
14140704700 = 22521933831913
BaseRepresentation
bin11010010101101101…
…00000011110111100
31100111111020020010201
431022312200132330
5212430010022300
610255100213244
71010264002213
oct151266403674
940444206121
1014140704700
115aa7071811
1228a783a224
131444804bb5
1498206207a
1557b67866a
hex34ada07bc

14140704700 has 72 divisors (see below), whose sum is σ = 30941019648. Its totient is φ = 5609349120.

The previous prime is 14140704649. The next prime is 14140704707. The reversal of 14140704700 is 740704141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14140704707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7390944 + ... + 7392856.

It is an arithmetic number, because the mean of its divisors is an integer number (429736384).

Almost surely, 214140704700 is an apocalyptic number.

14140704700 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 14140704700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470509824).

14140704700 is an abundant number, since it is smaller than the sum of its proper divisors (16800314948).

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

14140704700 is a wasteful number, since it uses less digits than its factorization.

14140704700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

It can be divided in two parts, 1414070 and 4700, that added together give a triangular number (1418770 = T1684).

The spelling of 14140704700 in words is "fourteen billion, one hundred forty million, seven hundred four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 383 386 766 772 965 1532 1913 1915 1930 3826 3830 3860 4825 7652 7660 9565 9575 9650 19130 19150 19300 38260 38300 47825 73919 95650 147838 191300 295676 369209 369595 732679 738418 739190 1465358 1476836 1478380 1846045 1847975 2930716 3663395 3692090 3695950 7326790 7384180 7391900 9230225 14653580 18316975 18460450 36633950 36920900 73267900 141407047 282814094 565628188 707035235 1414070470 2828140940 3535176175 7070352350 14140704700