Search a number
-
+
141585454296 = 23321113123111171
BaseRepresentation
bin1000001111011100100…
…1101001010011011000
3111112110100000022011200
42003313021221103120
54304431334014141
6145013215354200
713141422335016
oct2036711512330
9445410008150
10141585454296
1155056330450
1223534822960
13104751a4130
146bd20178b6
153a39eeaab6
hex20f72694d8

141585454296 has 192 divisors, whose sum is σ = 450905495040. Its totient is φ = 39568608000.

The previous prime is 141585454267. The next prime is 141585454313. The reversal of 141585454296 is 692454585141.

It is a happy number.

141585454296 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 8 + 5 + 4 + 542 + 96 = 666.

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, 12668791 + ... + 12679961.

It is an arithmetic number, because the mean of its divisors is an integer number (2348466120).

Almost surely, 2141585454296 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 141585454296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225452747520).

141585454296 is an abundant number, since it is smaller than the sum of its proper divisors (309320040744).

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

141585454296 is a wasteful number, since it uses less digits than its factorization.

141585454296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12438 (or 12431 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 141585454296 in words is "one hundred forty-one billion, five hundred eighty-five million, four hundred fifty-four thousand, two hundred ninety-six".