Search a number
-
+
141161247612 = 223672111929163
BaseRepresentation
bin1000001101110111011…
…1011011001101111100
3111111100202210101000000
42003131313123031330
54303044234410422
6144503143234300
713125051543600
oct2033567331574
9444322711000
10141161247612
1154958931710
1223436748990
1310408338768
146b91951500
153a12b54cac
hex20ddddb37c

141161247612 has 1008 divisors, whose sum is σ = 514955145600. Its totient is φ = 33331979520.

The previous prime is 141161247611. The next prime is 141161247683. The reversal of 141161247612 is 216742161141.

141161247612 is a `hidden beast` number, since 1 + 4 + 1 + 16 + 1 + 24 + 7 + 612 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141161247611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 866019843 + ... + 866020005.

It is an arithmetic number, because the mean of its divisors is an integer number (510868200).

Almost surely, 2141161247612 is an apocalyptic number.

141161247612 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 141161247612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257477572800).

141161247612 is an abundant number, since it is smaller than the sum of its proper divisors (373793897988).

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

141161247612 is a wasteful number, since it uses less digits than its factorization.

141161247612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 141161247612 in words is "one hundred forty-one billion, one hundred sixty-one million, two hundred forty-seven thousand, six hundred twelve".