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250041140052 = 223111710110310711
BaseRepresentation
bin1110100011011110011…
…1010000001101010100
3212220101210111222122220
43220313213100031110
513044041012440202
6310511201222340
724031152423414
oct3506747201524
9786353458586
10250041140052
11970507833a0
12405623319b0
131a76a764612
14c160080644
156786743abc
hex3a379d0354

250041140052 has 192 divisors, whose sum is σ = 687251755008. Its totient is φ = 69914880000.

The previous prime is 250041140023. The next prime is 250041140101.

250041140052 is nontrivially palindromic in base 10.

250041140052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23338977 + ... + 23349687.

It is an arithmetic number, because the mean of its divisors is an integer number (3579436224).

Almost surely, 2250041140052 is an apocalyptic number.

250041140052 is a gapful number since it is divisible by the number (22) 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 250041140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343625877504).

250041140052 is an abundant number, since it is smaller than the sum of its proper divisors (437210614956).

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

250041140052 is a wasteful number, since it uses less digits than its factorization.

250041140052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 250041 and 140052, that added together give a palindrome (390093).

The spelling of 250041140052 in words is "two hundred fifty billion, forty-one million, one hundred forty thousand, fifty-two".