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104424234240 = 283527193811
BaseRepresentation
bin110000101000000101…
…0110101110100000000
3100222112111121201200010
41201100022311310000
53202330100443430
6115545525424520
710354505226414
oct1412012656400
9328474551603
10104424234240
1140316837837
12182a356b140
139b022a9221
1450a8886d44
152ab285dcb0
hex18502b5d00

104424234240 has 72 divisors (see below), whose sum is σ = 333504910368. Its totient is φ = 27846461440.

The previous prime is 104424234203. The next prime is 104424234253. The reversal of 104424234240 is 42432424401.

It is a super-2 number, since 2×1044242342402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104424234198 and 104424234207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13593066 + ... + 13600745.

It is an arithmetic number, because the mean of its divisors is an integer number (4632012644).

Almost surely, 2104424234240 is an apocalyptic number.

104424234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104424234240 is an abundant number, since it is smaller than the sum of its proper divisors (229080676128).

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

104424234240 is an equidigital number, since it uses as much as digits as its factorization.

104424234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27193835 (or 27193821 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 104424234240 its reverse (42432424401), we get a palindrome (146856658641).

The spelling of 104424234240 in words is "one hundred four billion, four hundred twenty-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 27193811 54387622 81581433 108775244 135969055 163162866 217550488 271938110 326325732 407907165 435100976 543876220 652651464 815814330 870201952 1087752440 1305302928 1631628660 1740403904 2175504880 2610605856 3263257320 3480807808 4351009760 5221211712 6526514640 6961615616 8702019520 10442423424 13053029280 17404039040 20884846848 26106058560 34808078080 52212117120 104424234240