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5740130110000 = 2454111331112907
BaseRepresentation
bin101001110000111101001…
…1010101000101000110000
3202022202021112111100000111
41103201322122220220300
51223021241302010000
620112551313231104
71131465526615666
oct123417232505060
922282245440014
105740130110000
111913414890820
12788585b62494
133283a453a310
1415bb76646c36
159e4a9911cba
hex5387a6a8a30

5740130110000 has 400 divisors, whose sum is σ = 16380817060608. Its totient is φ = 1920412800000.

The previous prime is 5740130109943. The next prime is 5740130110063. The reversal of 5740130110000 is 110310475.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×57401301100002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 79 ways as a sum of consecutive naturals, for example, 444723547 + ... + 444736453.

Almost surely, 25740130110000 is an apocalyptic number.

5740130110000 is a gapful number since it is divisible by the number (50) 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 5740130110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190408530304).

5740130110000 is an abundant number, since it is smaller than the sum of its proper divisors (10640686950608).

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

5740130110000 is a wasteful number, since it uses less digits than its factorization.

5740130110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270 (or 13249 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 5740130110000 its reverse (110310475), we get a palindrome (5740240420475).

The spelling of 5740130110000 in words is "five trillion, seven hundred forty billion, one hundred thirty million, one hundred ten thousand".