Search a number
-
+
242011303504140 = 22358945320468821
BaseRepresentation
bin110111000001101110100101…
…110001101110100100001100
31011201220001110211221102111110
4313001232211301232210030
5223210103122144113030
62214414242532052020
7101655511465155102
oct6701564561564414
91151801424842443
10242011303504140
1170126465674165
12231874b3a64010
13a50674cb6c0a1
1443a95a3ca5c72
151cea4092ca1b0
hexdc1ba5c6e90c

242011303504140 has 48 divisors (see below), whose sum is σ = 685245488588640. Its totient is φ = 63811220098560.

The previous prime is 242011303504097. The next prime is 242011303504183. The reversal of 242011303504140 is 41405303110242.

242011303504140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242011303504097) and next prime (242011303504183).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242011303504098 and 242011303504107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22660229071 + ... + 22660239750.

It is an arithmetic number, because the mean of its divisors is an integer number (14275947678930).

Almost surely, 2242011303504140 is an apocalyptic number.

242011303504140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242011303504140 is an abundant number, since it is smaller than the sum of its proper divisors (443234185084500).

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

242011303504140 is a wasteful number, since it uses less digits than its factorization.

242011303504140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45320468922 (or 45320468920 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 242011303504140 its reverse (41405303110242), we get a palindrome (283416606614382).

The spelling of 242011303504140 in words is "two hundred forty-two trillion, eleven billion, three hundred three million, five hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 45320468821 90640937642 135961406463 181281875284 226602344105 271922812926 453204688210 543845625852 679807032315 906409376420 1359614064630 2719228129260 4033521725069 8067043450138 12100565175207 16134086900276 20167608625345 24201130350414 40335217250690 48402260700828 60502825876035 80670434501380 121005651752070 242011303504140