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4442113041104 = 241961669135801
BaseRepresentation
bin100000010100100001010…
…0100011110001011010000
3120201122212111101012220002
41000221002210132023100
51040234421414303404
613240402322505132
7635634462565454
oct100510244361320
916648774335802
104442113041104
111462987008072
125b8ab28051a8
13262b741c1cbb
14114ddc592664
157a839b2bc1e
hex40a4291e2d0

4442113041104 has 80 divisors (see below), whose sum is σ = 9209723664960. Its totient is φ = 2069297280000.

The previous prime is 4442113041019. The next prime is 4442113041143. The reversal of 4442113041104 is 4011403112444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124060004 + ... + 124095804.

It is an arithmetic number, because the mean of its divisors is an integer number (115121545812).

Almost surely, 24442113041104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442113041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604861832480).

4442113041104 is an abundant number, since it is smaller than the sum of its proper divisors (4767610623856).

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

4442113041104 is a wasteful number, since it uses less digits than its factorization.

4442113041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42580 (or 42574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4442113041104 its reverse (4011403112444), we get a palindrome (8453516153548).

The spelling of 4442113041104 in words is "four trillion, four hundred forty-two billion, one hundred thirteen million, forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 976 1159 2318 4636 6691 9272 13382 18544 26764 35801 53528 71602 107056 127129 143204 254258 286408 408151 508516 572816 680219 816302 1017032 1360438 1632604 2034064 2183861 2720876 3265208 4367722 5441752 6530416 7754869 8735444 10883504 15509738 17470888 31019476 34941776 41493359 62038952 82986718 124077904 165973436 239544491 331946872 479088982 663893744 958177964 1916355928 3832711856 4551345329 9102690658 14612213951 18205381316 29224427902 36410762632 58448855804 72821525264 116897711608 233795423216 277632065069 555264130138 1110528260276 2221056520552 4442113041104