Search a number
-
+
14196680148 = 223719791091033
BaseRepresentation
bin11010011100011000…
…00010010111010100
31100122101120002000110
431032030002113110
5213033322231043
610304420043020
71011543535020
oct151614022724
940571502013
1014196680148
116025723a12
122902533470
1314532a3071
14989673380
15581533b33
hex34e3025d4

14196680148 has 192 divisors, whose sum is σ = 40764416000. Its totient is φ = 3755621376.

The previous prime is 14196680143. The next prime is 14196680153. The reversal of 14196680148 is 84108669141.

It is an interprime number because it is at equal distance from previous prime (14196680143) and next prime (14196680153).

It is a junction number, because it is equal to n+sod(n) for n = 14196680097 and 14196680106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14196680143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13742640 + ... + 13743672.

Almost surely, 214196680148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14196680148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382208000).

14196680148 is an abundant number, since it is smaller than the sum of its proper divisors (26567735852).

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

14196680148 is a wasteful number, since it uses less digits than its factorization.

14196680148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 14196680148 in words is "fourteen billion, one hundred ninety-six million, six hundred eighty thousand, one hundred forty-eight".