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41442314000 = 245367309271
BaseRepresentation
bin100110100110001001…
…111000011100010000
310221222012000200100112
4212212021320130100
51134333213022000
631012140340452
72664656566613
oct464611703420
9127865020315
1041442314000
111663711898a
128046b44728
133ba5b27bb9
142011d7617a
151128439235
hex9a6278710

41442314000 has 80 divisors (see below), whose sum is σ = 101703478656. Its totient is φ = 16329456000.

The previous prime is 41442313937. The next prime is 41442314003. The reversal of 41442314000 is 41324414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41442314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20636 + ... + 288635.

Almost surely, 241442314000 is an apocalyptic number.

41442314000 is a gapful number since it is divisible by the number (40) 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 41442314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50851739328).

41442314000 is an abundant number, since it is smaller than the sum of its proper divisors (60261164656).

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

41442314000 is a wasteful number, since it uses less digits than its factorization.

41442314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309361 (or 309345 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 41442314000 its reverse (41324414), we get a palindrome (41483638414).

The spelling of 41442314000 in words is "forty-one billion, four hundred forty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 67000 134000 309271 618542 1237084 1546355 2474168 3092710 4948336 6185420 7731775 12370840 15463550 20721157 24741680 30927100 38658875 41442314 61854200 77317750 82884628 103605785 123708400 154635500 165769256 207211570 309271000 331538512 414423140 518028925 618542000 828846280 1036057850 1657692560 2072115700 2590144625 4144231400 5180289250 8288462800 10360578500 20721157000 41442314000