Search a number
-
+
30242404333240 = 23511433907409121
BaseRepresentation
bin1101110000001010110111…
…10001000111011010111000
310222002010221011012202122021
412320011123301013122320
512430442421002130430
6144153100241204224
76240640654256011
oct670053361073270
9128063834182567
1030242404333240
1196aa805912460
123485220030674
1313b4b00985a68
14767a510a6008
15376a1ad6507a
hex1b815bc476b8

30242404333240 has 128 divisors (see below), whose sum is σ = 75977293835520. Its totient is φ = 10738712678400.

The previous prime is 30242404333223. The next prime is 30242404333261. The reversal of 30242404333240 is 4233340424203.

It is a junction number, because it is equal to n+sod(n) for n = 30242404333196 and 30242404333205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73715880 + ... + 74125000.

It is an arithmetic number, because the mean of its divisors is an integer number (593572608090).

Almost surely, 230242404333240 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 30242404333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988646917760).

30242404333240 is an abundant number, since it is smaller than the sum of its proper divisors (45734889502280).

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

30242404333240 is a wasteful number, since it uses less digits than its factorization.

30242404333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413093 (or 413089 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 30242404333240 its reverse (4233340424203), we get a palindrome (34475744757443).

The spelling of 30242404333240 in words is "thirty trillion, two hundred forty-two billion, four hundred four million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 3907 4730 7814 9460 15628 18920 19535 31256 39070 42977 78140 85954 156280 168001 171908 214885 336002 343816 409121 429770 672004 818242 840005 859540 1344008 1636484 1680010 1719080 1848011 2045605 3272968 3360020 3696022 4091210 4500331 6720040 7392044 8182420 9000662 9240055 14784088 16364840 17592203 18001324 18480110 22501655 35184406 36002648 36960220 45003310 70368812 73920440 87961015 90006620 140737624 175922030 180013240 193514233 351844060 387028466 703688120 774056932 967571165 1548113864 1598435747 1935142330 3196871494 3870284660 6393742988 7740569320 7992178735 12787485976 15984357470 17582793217 31968714940 35165586434 63937429880 68732737121 70331172868 87913966085 137465474242 140662345736 175827932170 274930948484 343663685605 351655864340 549861896968 687327371210 703311728680 756060108331 1374654742420 1512120216662 2749309484840 3024240433324 3780300541655 6048480866648 7560601083310 15121202166620 30242404333240