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3141042000 = 243531959467
BaseRepresentation
bin1011101100111000…
…0111111101010000
322002220102110120220
42323032013331100
522413101321000
61235403233040
7140560262565
oct27316077520
98086373526
103141042000
111372044388
12737b18780
133b0997c45
1421b23c86c
15135b541a0
hexbb387f50

3141042000 has 320 divisors, whose sum is σ = 10863590400. Its totient is φ = 778406400.

The previous prime is 3141041993. The next prime is 3141042001. The reversal of 3141042000 is 2401413.

It is a super-2 number, since 2×31410420002 = 19732289691528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141042001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6725767 + ... + 6726233.

It is an arithmetic number, because the mean of its divisors is an integer number (33948720).

Almost surely, 23141042000 is an apocalyptic number.

3141042000 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 3141042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431795200).

3141042000 is an abundant number, since it is smaller than the sum of its proper divisors (7722548400).

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

3141042000 is a wasteful number, since it uses less digits than its factorization.

3141042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3141042000 is about 56044.9997769649. Note that the first 3 decimals coincide. The cubic root of 3141042000 is about 1464.5063120808.

Adding to 3141042000 its reverse (2401413), we get a palindrome (3143443413).

The spelling of 3141042000 in words is "three billion, one hundred forty-one million, forty-two thousand".