Search a number
-
+
104102042240 = 2757127182969
BaseRepresentation
bin110000011110011110…
…1110001101010000000
3100221201001100200100002
41200330331301222000
53201200110322430
6115453540015132
710343513521220
oct1407475615200
9327631320302
10104102042240
1140170986159
12182136914a8
139a8060b381
145077b78080
152a94419845
hex183cf71a80

104102042240 has 128 divisors (see below), whose sum is σ = 286662758400. Its totient is φ = 35410894848.

The previous prime is 104102042201. The next prime is 104102042263. The reversal of 104102042240 is 42240201401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 477476 + ... + 660444.

It is an arithmetic number, because the mean of its divisors is an integer number (2239552800).

Almost surely, 2104102042240 is an apocalyptic number.

104102042240 is a gapful number since it is divisible by the number (10) 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 104102042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143331379200).

104102042240 is an abundant number, since it is smaller than the sum of its proper divisors (182560716160).

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

104102042240 is a wasteful number, since it uses less digits than its factorization.

104102042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183122 (or 183110 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 104102042240 its reverse (42240201401), we get a palindrome (146342243641).

The spelling of 104102042240 in words is "one hundred four billion, one hundred two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 280 320 448 508 560 635 640 889 896 1016 1120 1270 1778 2032 2240 2540 3556 4064 4445 4480 5080 7112 8128 8890 10160 14224 16256 17780 20320 28448 35560 40640 56896 71120 81280 113792 142240 182969 284480 365938 568960 731876 914845 1280783 1463752 1829690 2561566 2927504 3659380 5123132 5855008 6403915 7318760 10246264 11710016 12807830 14637520 20492528 23237063 23420032 25615660 29275040 40985056 46474126 51231320 58550080 81970112 92948252 102462640 116185315 117100160 162659441 163940224 185896504 204925280 232370630 325318882 371793008 409850560 464741260 650637764 743586016 813297205 819701120 929482520 1301275528 1487172032 1626594410 1858965040 2602551056 2974344064 3253188820 3717930080 5205102112 6506377640 7435860160 10410204224 13012755280 14871720320 20820408448 26025510560 52051021120 104102042240