Search a number
-
+
302141104240 = 245671372571601
BaseRepresentation
bin1000110010110010000…
…00110110000001110000
31001212212201210101121011
410121121000312001300
514422241110313430
6350445100240304
730554224003633
oct4313100660160
91055781711534
10302141104240
1110715685a638
124a682540094
13226515abab1
14108a364bc1a
157cd564522a
hex4659036070

302141104240 has 160 divisors (see below), whose sum is σ = 721411665984. Its totient is φ = 117650227200.

The previous prime is 302141104217. The next prime is 302141104241. The reversal of 302141104240 is 42401141203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302141104241) 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, 188719440 + ... + 188721040.

Almost surely, 2302141104240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302141104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360705832992).

302141104240 is an abundant number, since it is smaller than the sum of its proper divisors (419270561744).

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

302141104240 is a wasteful number, since it uses less digits than its factorization.

302141104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 302141104240 its reverse (42401141203), we get a palindrome (344542245443).

The spelling of 302141104240 in words is "three hundred two billion, one hundred forty-one million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 137 257 268 274 335 514 536 548 670 685 1028 1072 1096 1285 1340 1370 1601 2056 2192 2570 2680 2740 3202 4112 5140 5360 5480 6404 8005 9179 10280 10960 12808 16010 17219 18358 20560 25616 32020 34438 35209 36716 45895 64040 68876 70418 73432 86095 91790 107267 128080 137752 140836 146864 172190 176045 183580 214534 219337 275504 281672 344380 352090 367160 411457 429068 438674 536335 563344 688760 704180 734320 822914 858136 877348 1072670 1096685 1377520 1408360 1645828 1716272 1754696 2057285 2145340 2193370 2359003 2816720 3291656 3509392 4114570 4290680 4386740 4718006 6583312 8229140 8581360 8773480 9436012 11795015 14695579 16458280 17546960 18872024 23590030 27567619 29391158 32916560 37744048 47180060 55135238 56369609 58782316 73477895 94360120 110270476 112739218 117564632 137838095 146955790 188720240 220540952 225478436 235129264 275676190 281848045 293911580 441081904 450956872 551352380 563696090 587823160 901913744 1102704760 1127392180 1175646320 2205409520 2254784360 3776763803 4509568720 7553527606 15107055212 18883819015 30214110424 37767638030 60428220848 75535276060 151070552120 302141104240