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1385253430600 = 2352132371224711
BaseRepresentation
bin10100001010000111100…
…010011110010101001000
311220102120200201110012211
4110022013202132111020
5140143444334234400
62540213204314504
7202036604611234
oct24120742362510
94812520643184
101385253430600
114945344a2456
121a457a6a2a34
13a0823731b70
144b091d155c4
152607870adba
hex1428789e548

1385253430600 has 96 divisors (see below), whose sum is σ = 3469939784640. Its totient is φ = 511260192000.

The previous prime is 1385253430577. The next prime is 1385253430619. The reversal of 1385253430600 is 60343525831.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 6052245 + ... + 6276955.

It is an arithmetic number, because the mean of its divisors is an integer number (36145206090).

Almost surely, 21385253430600 is an apocalyptic number.

1385253430600 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 1385253430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734969892320).

1385253430600 is an abundant number, since it is smaller than the sum of its proper divisors (2084686354040).

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

1385253430600 is a wasteful number, since it uses less digits than its factorization.

1385253430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227111 (or 227102 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 1385253430600 in words is "one trillion, three hundred eighty-five billion, two hundred fifty-three million, four hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2371 2600 4742 9484 11855 18968 23710 30823 47420 59275 61646 94840 118550 123292 154115 224711 237100 246584 308230 449422 474200 616460 770575 898844 1123555 1232920 1541150 1797688 2247110 2921243 3082300 4494220 5617775 5842486 6164600 8988440 11235550 11684972 14606215 22471100 23369944 29212430 44942200 58424860 73031075 116849720 146062150 292124300 532789781 584248600 1065579562 2131159124 2663948905 4262318248 5327897810 6926267153 10655795620 13319744525 13852534306 21311591240 26639489050 27705068612 34631335765 53278978100 55410137224 69262671530 106557956200 138525343060 173156678825 277050686120 346313357650 692626715300 1385253430600