Search a number
-
+
141979600728 = 233274978467
BaseRepresentation
bin1000010000111010100…
…1001100011101011000
3111120110210200000102200
42010032221030131120
54311233234210403
6145120255330200
713154246460000
oct2041651143530
9446423600380
10141979600728
11552388684a9
1223624820960
1310508a46284
146c2c4d7000
153a5e904ca3
hex210ea4c758

141979600728 has 240 divisors, whose sum is σ = 453267567480. Its totient is φ = 40142656512.

The previous prime is 141979600669. The next prime is 141979600739. The reversal of 141979600728 is 827006979141.

141979600728 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 7 + 9 + 600 + 7 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16764351 + ... + 16772817.

Almost surely, 2141979600728 is an apocalyptic number.

141979600728 is a gapful number since it is divisible by the number (18) 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 141979600728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226633783740).

141979600728 is an abundant number, since it is smaller than the sum of its proper divisors (311287966752).

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

141979600728 is an equidigital number, since it uses as much as digits as its factorization.

141979600728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 141979600728 in words is "one hundred forty-one billion, nine hundred seventy-nine million, six hundred thousand, seven hundred twenty-eight".