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540101110450 = 252113472829977
BaseRepresentation
bin1111101110000001000…
…10001110101010110010
31220122002120112012012111
413313000202032222302
532322111341013300
61052041413115534
754010131455656
oct7670042165262
91818076465174
10540101110450
11199067aa62a0
1288812928baa
133bc151423b5
141c1d8dd0a66
15e0b143d9ba
hex7dc088eab2

540101110450 has 48 divisors (see below), whose sum is σ = 1099072895904. Its totient is φ = 195834339200.

The previous prime is 540101110397. The next prime is 540101110481. The reversal of 540101110450 is 54011101045.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1224139 + ... + 1605838.

It is an arithmetic number, because the mean of its divisors is an integer number (22897351998).

Almost surely, 2540101110450 is an apocalyptic number.

540101110450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540101110450 is an abundant number, since it is smaller than the sum of its proper divisors (558971785454).

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

540101110450 is a wasteful number, since it uses less digits than its factorization.

540101110450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830347 (or 2830342 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 540101110450 its reverse (54011101045), we get a palindrome (594112211495).

The spelling of 540101110450 in words is "five hundred forty billion, one hundred one million, one hundred ten thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 347 550 694 1735 3470 3817 7634 8675 17350 19085 38170 95425 190850 2829977 5659954 14149885 28299770 31129747 62259494 70749425 141498850 155648735 311297470 778243675 982002019 1556487350 1964004038 4910010095 9820020190 10802022209 21604044418 24550050475 49100100950 54010111045 108020222090 270050555225 540101110450