Search a number
-
+
42505384040 = 2357941161323
BaseRepresentation
bin100111100101100001…
…001011000001101000
311001201021101020021222
4213211201023001220
51144022334242130
631305433521212
73033215542310
oct474541130150
9131637336258
1042505384040
11170321aa169
1282a2b73208
134015148522
1420b3220440
15118b927ce5
hex9e584b068

42505384040 has 64 divisors (see below), whose sum is σ = 109416389760. Its totient is φ = 14557697280.

The previous prime is 42505384027. The next prime is 42505384049. The reversal of 42505384040 is 4048350524.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (42505384049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182819 + ... + 344141.

It is an arithmetic number, because the mean of its divisors is an integer number (1709631090).

Almost surely, 242505384040 is an apocalyptic number.

42505384040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42505384040 is an abundant number, since it is smaller than the sum of its proper divisors (66911005720).

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

42505384040 is a wasteful number, since it uses less digits than its factorization.

42505384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162282 (or 162278 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 42505384040 in words is "forty-two billion, five hundred five million, three hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 941 1882 3764 4705 6587 7528 9410 13174 18820 26348 32935 37640 52696 65870 131740 161323 263480 322646 645292 806615 1129261 1290584 1613230 2258522 3226460 4517044 5646305 6452920 9034088 11292610 22585220 45170440 151804943 303609886 607219772 759024715 1062634601 1214439544 1518049430 2125269202 3036098860 4250538404 5313173005 6072197720 8501076808 10626346010 21252692020 42505384040