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3125711040 = 263523532671
BaseRepresentation
bin1011101001001110…
…1001000011000000
322001211120120110120
42322103221003000
522400140223130
61234054500240
7140313051114
oct27223510300
98054516416
103125711040
111364422a71
12732964680
133aa75aa7a
142191ab744
15134626910
hexba4e90c0

3125711040 has 224 divisors, whose sum is σ = 10554955776. Its totient is φ = 781946880.

The previous prime is 3125711011. The next prime is 3125711053. The reversal of 3125711040 is 401175213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3125711040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168905 + ... + 1171575.

Almost surely, 23125711040 is an apocalyptic number.

3125711040 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 3125711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277477888).

3125711040 is an abundant number, since it is smaller than the sum of its proper divisors (7429244736).

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

3125711040 is a wasteful number, since it uses less digits than its factorization.

3125711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 3125711040 is about 55908.0588108727. The cubic root of 3125711040 is about 1462.1197456880.

Adding to 3125711040 its reverse (401175213), we get a palindrome (3526886253).

The spelling of 3125711040 in words is "three billion, one hundred twenty-five million, seven hundred eleven thousand, forty".