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101444140104 = 2334226839171
BaseRepresentation
bin101111001111010001…
…0101011110001001000
3100200211211001021001020
41132132202223301020
53130224144440404
6114334111552440
710220610651336
oct1363642536110
9320754037036
10101444140104
113a027632a1a
12177b152b720
139748a74308
144ca4b82b56
15298adeced9
hex179e8abc48

101444140104 has 16 divisors (see below), whose sum is σ = 253610350320. Its totient is φ = 33814713360.

The previous prime is 101444140067. The next prime is 101444140121. The reversal of 101444140104 is 401041444101.

It is a super-2 number, since 2×1014441401042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4226839171 = 101444140104 / (1 + 0 + 1 + 4 + 4 + 4 + 1 + 4 + 0 + 1 + 0 + 4).

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 3 ways as a sum of consecutive naturals, for example, 2113419562 + ... + 2113419609.

It is an arithmetic number, because the mean of its divisors is an integer number (15850646895).

Almost surely, 2101444140104 is an apocalyptic number.

It is an amenable number.

101444140104 is an abundant number, since it is smaller than the sum of its proper divisors (152166210216).

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

101444140104 is a wasteful number, since it uses less digits than its factorization.

101444140104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226839180 (or 4226839176 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101444140104 its reverse (401041444101), we get a palindrome (502485584205).

The spelling of 101444140104 in words is "one hundred one billion, four hundred forty-four million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 4226839171 8453678342 12680517513 16907356684 25361035026 33814713368 50722070052 101444140104