Search a number
-
+
30314144032340 = 22572192956139383
BaseRepresentation
bin1101110010010000011111…
…10010010110011001010100
310222100000002211010002000212
412321020033302112121110
512433131331333013330
6144250043040024552
76246060514533500
oct671101762263124
9128300084102025
1030314144032340
11972817a022183
123497101602158
1313bb7c466955c
1476b2d8b79300
1537881906c295
hex1b920fc96654

30314144032340 has 144 divisors (see below), whose sum is σ = 80638611177600. Its totient is φ = 9506867505408.

The previous prime is 30314144032327. The next prime is 30314144032439. The reversal of 30314144032340 is 4323044141303.

It is a junction number, because it is equal to n+sod(n) for n = 30314144032297 and 30314144032306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27529712 + ... + 28609671.

It is an arithmetic number, because the mean of its divisors is an integer number (559990355400).

Almost surely, 230314144032340 is an apocalyptic number.

It is an amenable number.

30314144032340 is an abundant number, since it is smaller than the sum of its proper divisors (50324467145260).

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

30314144032340 is a wasteful number, since it uses less digits than its factorization.

30314144032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56139454 (or 56139445 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 30314144032340 its reverse (4323044141303), we get a palindrome (34637188173643).

The spelling of 30314144032340 in words is "thirty trillion, three hundred fourteen billion, one hundred forty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 49 58 70 76 95 98 116 133 140 145 190 196 203 245 266 290 380 406 490 532 551 580 665 812 931 980 1015 1102 1330 1421 1862 2030 2204 2660 2755 2842 3724 3857 4060 4655 5510 5684 7105 7714 9310 11020 14210 15428 18620 19285 26999 28420 38570 53998 77140 107996 134995 269990 539980 56139383 112278766 224557532 280696915 392975681 561393830 785951362 1066648277 1122787660 1571902724 1628042107 1964878405 2133296554 2750829767 3256084214 3929756810 4266593108 5333241385 5501659534 6512168428 7466537939 7859513620 8140210535 10666482770 11003319068 11396294749 13754148835 14933075878 16280421070 21332965540 22792589498 27508297670 29866151756 30932800033 32560842140 37332689695 45585178996 52265765573 55016595340 56981473745 61865600066 74665379390 79774063243 104531531146 113962947490 123731200132 149330758780 154664000165 159548126486 209063062292 216529600231 227925894980 261328827865 309328000330 319096252972 398870316215 433059200462 522657655730 618656000660 797740632430 866118400924 1045315311460 1082648001155 1515707201617 1595481264860 2165296002310 3031414403234 4330592004620 6062828806468 7578536008085 15157072016170 30314144032340