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102440020140 = 22335263721307
BaseRepresentation
bin101111101100111100…
…1101010100010101100
3100210102012222012122000
41133121321222202230
53134244121121030
6115021005052300
710254362542563
oct1373171524254
9323365865560
10102440020140
113a4987a2377
1217a2ab57090
13987719b143
144d5b13abda
1529e8568860
hex17d9e6a8ac

102440020140 has 96 divisors (see below), whose sum is σ = 319914524160. Its totient is φ = 27213432768.

The previous prime is 102440020139. The next prime is 102440020147. The reversal of 102440020140 is 41020044201.

102440020140 is a `hidden beast` number, since 1 + 0 + 24 + 400 + 201 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102440020147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218634 + ... + 502673.

It is an arithmetic number, because the mean of its divisors is an integer number (3332442960).

Almost surely, 2102440020140 is an apocalyptic number.

102440020140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102440020140 is an abundant number, since it is smaller than the sum of its proper divisors (217474504020).

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

102440020140 is a wasteful number, since it uses less digits than its factorization.

102440020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721588 (or 721580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102440020140 its reverse (41020044201), we get a palindrome (143460064341).

The spelling of 102440020140 in words is "one hundred two billion, four hundred forty million, twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 142020 721307 1442614 2163921 2885228 3606535 4327842 6491763 7213070 8655684 10819605 12983526 14426140 19475289 21639210 25967052 32458815 38950578 43278420 64917630 77901156 97376445 129835260 189703741 194752890 379407482 389505780 569111223 758814964 948518705 1138222446 1707333669 1897037410 2276444892 2845556115 3414667338 3794074820 5122001007 5691112230 6829334676 8536668345 10244002014 11382224460 17073336690 20488004028 25610005035 34146673380 51220010070 102440020140