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2941140132 = 223472613037
BaseRepresentation
bin1010111101001110…
…0011110010100100
321120222021101210000
42233103203302210
522010412441012
61203502501300
7132612164400
oct25723436244
97528241700
102941140132
11127a219127
126a0b94830
1337b446508
141dc884100
15123318ddc
hexaf4e3ca4

2941140132 has 180 divisors, whose sum is σ = 9093639324. Its totient is φ = 826277760.

The previous prime is 2941140119. The next prime is 2941140149. The reversal of 2941140132 is 2310411492.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1148803236 + 1792336896 = 33894^2 + 42336^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2941140096 and 2941140105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 966918 + ... + 969954.

Almost surely, 22941140132 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 2941140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546819662).

2941140132 is an abundant number, since it is smaller than the sum of its proper divisors (6152499192).

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

2941140132 is a wasteful number, since it uses less digits than its factorization.

2941140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2941140132 is about 54232.2794283995. The cubic root of 2941140132 is about 1432.7549109150.

The spelling of 2941140132 in words is "two billion, nine hundred forty-one million, one hundred forty thousand, one hundred thirty-two".