Search a number
-
+
141512663040 = 213357232311
BaseRepresentation
bin1000001111001011001…
…1111110000000000000
3111112021021001010100020
42003302303332000000
54304304220204130
6145002055253440
713136546534430
oct2036263760000
9445237033306
10141512663040
1155019233291
122351437a280
1310463098c98
146bc64aa2c0
153a3391ce10
hex20f2cfe000

141512663040 has 672 divisors, whose sum is σ = 542718199296. Its totient is φ = 30839930880.

The previous prime is 141512663021. The next prime is 141512663077. The reversal of 141512663040 is 40366215141.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 141512662992 and 141512663010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455024485 + ... + 455024795.

It is an arithmetic number, because the mean of its divisors is an integer number (807616368).

Almost surely, 2141512663040 is an apocalyptic number.

141512663040 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 141512663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271359099648).

141512663040 is an abundant number, since it is smaller than the sum of its proper divisors (401205536256).

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

141512663040 is an equidigital number, since it uses as much as digits as its factorization.

141512663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 141512663040 its reverse (40366215141), we get a palindrome (181878878181).

The spelling of 141512663040 in words is "one hundred forty-one billion, five hundred twelve million, six hundred sixty-three thousand, forty".