Search a number
-
+
141116652768 = 253713113163877
BaseRepresentation
bin1000001101101100110…
…1010011110011100000
3111111020122212201101010
42003123031103303200
54303001330342033
6144454511340520
713124000520510
oct2033315236340
9444218781333
10141116652768
1154935742973
1223423821740
13103cc023690
146b89a63840
153a0dc96863
hex20db353ce0

141116652768 has 384 divisors, whose sum is σ = 463299443712. Its totient is φ = 36620107776.

The previous prime is 141116652751. The next prime is 141116652773. The reversal of 141116652768 is 867256611141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160907946 + ... + 160908822.

It is an arithmetic number, because the mean of its divisors is an integer number (1206508968).

Almost surely, 2141116652768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141116652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231649721856).

141116652768 is an abundant number, since it is smaller than the sum of its proper divisors (322182790944).

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

141116652768 is a wasteful number, since it uses less digits than its factorization.

141116652768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 141116652768 in words is "one hundred forty-one billion, one hundred sixteen million, six hundred fifty-two thousand, seven hundred sixty-eight".