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104422301144 = 23743103941737
BaseRepresentation
bin110000101000000001…
…1011101110111011000
3100222112100222111221222
41201100003131313120
53202324102114034
6115545420151212
710354452625520
oct1412003356730
9328470874858
10104422301144
1140315737437
12182a2998508
139b01a80395
1450a8502680
152ab25cb12e
hex18500dddd8

104422301144 has 64 divisors (see below), whose sum is σ = 229191705600. Its totient is φ = 43668543744.

The previous prime is 104422301143. The next prime is 104422301161. The reversal of 104422301144 is 441103224401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104422301143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481044 + ... + 2522780.

It is an arithmetic number, because the mean of its divisors is an integer number (3581120400).

Almost surely, 2104422301144 is an apocalyptic number.

104422301144 is a gapful number since it is divisible by the number (14) 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 104422301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114595852800).

104422301144 is an abundant number, since it is smaller than the sum of its proper divisors (124769404456).

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

104422301144 is a wasteful number, since it uses less digits than its factorization.

104422301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42832 (or 42828 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 104422301144 its reverse (441103224401), we get a palindrome (545525525545).

The spelling of 104422301144 in words is "one hundred four billion, four hundred twenty-two million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1039 1204 2078 2408 4156 7273 8312 14546 29092 41737 44677 58184 83474 89354 166948 178708 292159 312739 333896 357416 584318 625478 1168636 1250956 1794691 2337272 2501912 3589382 7178764 12562837 14357528 25125674 43364743 50251348 86729486 100502696 173458972 303553201 346917944 607106402 1214212804 1864683949 2428425608 3729367898 7458735796 13052787643 14917471592 26105575286 52211150572 104422301144