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142380683760 = 24357212107201
BaseRepresentation
bin1000010010011010001…
…1001101000111110000
3111121111202101010220210
42010212203031013300
54313043423340020
6145224144104120
713200216562200
oct2044643150760
9447452333823
10142380683760
1155424203087
1223717005040
1310570b76803
146c698a0400
153a84c2e3e0
hex21268cd1f0

142380683760 has 120 divisors (see below), whose sum is σ = 513442222416. Its totient is φ = 32544153600.

The previous prime is 142380683747. The next prime is 142380683801. The reversal of 142380683760 is 67386083241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6041841 + ... + 6065360.

Almost surely, 2142380683760 is an apocalyptic number.

142380683760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142380683760 is an abundant number, since it is smaller than the sum of its proper divisors (371061538656).

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

142380683760 is a wasteful number, since it uses less digits than its factorization.

142380683760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107231 (or 12107218 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 142380683760 in words is "one hundred forty-two billion, three hundred eighty million, six hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 12107201 24214402 36321603 48428804 60536005 72643206 84750407 96857608 121072010 145286412 169500814 181608015 193715216 242144020 254251221 290572824 339001628 363216030 423752035 484288040 508502442 581145648 593252849 678003256 726432060 847504070 968576080 1017004884 1186505698 1271256105 1356006512 1452864120 1695008140 1779758547 2034009768 2373011396 2542512210 2905728240 2966264245 3390016280 3559517094 4068019536 4746022792 5085024420 5932528490 6780032560 7119034188 8898792735 9492045584 10170048840 11865056980 14238068376 17797585470 20340097680 23730113960 28476136752 35595170940 47460227920 71190341880 142380683760