Search a number
-
+
141995828352 = 2737231243437
BaseRepresentation
bin1000010000111110011…
…1000110010010000000
3111120111221012110112210
42010033213012102000
54311301413001402
6145122035222120
713154534424600
oct2041747062200
9446457173483
10141995828352
1155246a41564
122362a147940
131050c208611
146c3071cc00
153a6105d06c
hex210f9c6480

141995828352 has 192 divisors, whose sum is σ = 452911530240. Its totient is φ = 39261358080.

The previous prime is 141995828329. The next prime is 141995828417. The reversal of 141995828352 is 253828599141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 141995828292 and 141995828301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461578 + ... + 705014.

It is an arithmetic number, because the mean of its divisors is an integer number (2358914220).

Almost surely, 2141995828352 is an apocalyptic number.

141995828352 is a gapful number since it is divisible by the number (12) 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 141995828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226455765120).

141995828352 is an abundant number, since it is smaller than the sum of its proper divisors (310915701888).

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

141995828352 is a wasteful number, since it uses less digits than its factorization.

141995828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243499 (or 243480 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The spelling of 141995828352 in words is "one hundred forty-one billion, nine hundred ninety-five million, eight hundred twenty-eight thousand, three hundred fifty-two".