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3141167040 = 263451123479
BaseRepresentation
bin1011101100111010…
…0110011111000000
322002220122211010000
42323032212133000
522413114321130
61235410040000
7140561323254
oct27316463700
98086584100
103141167040
11137211a320
12737b79000
133b0a0cb2b
1421b272264
15135b7b260
hexbb3a67c0

3141167040 has 560 divisors, whose sum is σ = 12746004480. Its totient is φ = 726865920.

The previous prime is 3141167033. The next prime is 3141167047. The reversal of 3141167040 is 407611413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3141167033) and next prime (3141167047).

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 = 3141166995 and 3141167013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141167047) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6557521 + ... + 6557999.

Almost surely, 23141167040 is an apocalyptic number.

3141167040 is a gapful number since it is divisible by the number (30) 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 3141167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373002240).

3141167040 is an abundant number, since it is smaller than the sum of its proper divisors (9604837440).

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

3141167040 is a wasteful number, since it uses less digits than its factorization.

3141167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3141167040 is about 56046.1152980294. The cubic root of 3141167040 is about 1464.5257450629.

Adding to 3141167040 its reverse (407611413), we get a palindrome (3548778453).

The spelling of 3141167040 in words is "three billion, one hundred forty-one million, one hundred sixty-seven thousand, forty".