Search a number
-
+
194320463040 = 26325113163311
BaseRepresentation
bin1011010011111001100…
…1101111010011000000
3200120120112020022110200
42310332121233103000
511140432014304130
6225134121525200
720016304453134
oct2647631572300
9616515208420
10194320463040
1175457921000
12317b1643800
131542a767312
149595a913c4
1550c4a3d760
hex2d3e66f4c0

194320463040 has 672 divisors, whose sum is σ = 742057984512. Its totient is φ = 46668441600.

The previous prime is 194320462997. The next prime is 194320463047. The reversal of 194320463040 is 40364023491.

It is a happy number.

194320463040 is a `hidden beast` number, since 19 + 4 + 3 + 2 + 0 + 4 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 194320462986 and 194320463004.

It is not an unprimeable number, because it can be changed into a prime (194320463047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624824485 + ... + 624824795.

Almost surely, 2194320463040 is an apocalyptic number.

194320463040 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 194320463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371028992256).

194320463040 is an abundant number, since it is smaller than the sum of its proper divisors (547737521472).

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

194320463040 is a wasteful number, since it uses less digits than its factorization.

194320463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 194320463040 in words is "one hundred ninety-four billion, three hundred twenty million, four hundred sixty-three thousand, forty".