Search a number
-
+
198361280040 = 2335711236713931
BaseRepresentation
bin1011100010111101000…
…0001110111000101000
3200222000010202002022120
42320233100032320220
511222220441430130
6231043110351240
720221402026540
oct2705720167050
9628003662276
10198361280040
1177140853690
123253a95b520
131592297a3b1
14985a5cc320
15525e677910
hex2e2f40ee28

198361280040 has 512 divisors, whose sum is σ = 785791549440. Its totient is φ = 38834611200.

The previous prime is 198361280021. The next prime is 198361280083. The reversal of 198361280040 is 40082163891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 198361279974 and 198361280001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14231875 + ... + 14245805.

It is an arithmetic number, because the mean of its divisors is an integer number (1534749120).

Almost surely, 2198361280040 is an apocalyptic number.

198361280040 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 198361280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392895774720).

198361280040 is an abundant number, since it is smaller than the sum of its proper divisors (587430269400).

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

198361280040 is a wasteful number, since it uses less digits than its factorization.

198361280040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14053 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 198361280040 in words is "one hundred ninety-eight billion, three hundred sixty-one million, two hundred eighty thousand, forty".