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3141124272 = 2434111317997
BaseRepresentation
bin1011101100111001…
…1100000010110000
322002220120122110000
42323032130002300
522413111434042
61235405110000
7140561054466
oct27316340260
98086518400
103141124272
1113720a0180
12737b58300
133b09c6520
1421b260836
15135b6d74c
hexbb39c0b0

3141124272 has 400 divisors, whose sum is σ = 11320337952. Its totient is φ = 826122240.

The previous prime is 3141124271. The next prime is 3141124291. The reversal of 3141124272 is 2724211413.

3141124272 is a `hidden beast` number, since 3 + 1 + 411 + 242 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3141124271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3150078 + ... + 3151074.

Almost surely, 23141124272 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 3141124272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660168976).

3141124272 is an abundant number, since it is smaller than the sum of its proper divisors (8179213680).

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

3141124272 is a wasteful number, since it uses less digits than its factorization.

3141124272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3141124272 is about 56045.7337537836. The cubic root of 3141124272 is about 1464.5190983697.

Adding to 3141124272 its reverse (2724211413), we get a palindrome (5865335685).

The spelling of 3141124272 in words is "three billion, one hundred forty-one million, one hundred twenty-four thousand, two hundred seventy-two".