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30415016040 = 2335547661701
BaseRepresentation
bin11100010100111000…
…000101000001101000
32220111200012220100120
4130110320011001220
5444242221003130
621550015203240
72124466241103
oct342470050150
986450186316
1030415016040
11119985357a2
125a89b16520
132b39363416
1416875db73a
15bd02a6910
hex714e05068

30415016040 has 128 divisors (see below), whose sum is σ = 91680750720. Its totient is φ = 8072064000.

The previous prime is 30415016039. The next prime is 30415016059. The reversal of 30415016040 is 4061051403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30415016040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43387690 + ... + 43388390.

It is an arithmetic number, because the mean of its divisors is an integer number (716255865).

Almost surely, 230415016040 is an apocalyptic number.

30415016040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30415016040 is an abundant number, since it is smaller than the sum of its proper divisors (61265734680).

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

30415016040 is a wasteful number, since it uses less digits than its factorization.

30415016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 30415016040 its reverse (4061051403), we get a palindrome (34476067443).

The spelling of 30415016040 in words is "thirty billion, four hundred fifteen million, sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 547 661 701 1094 1322 1402 1641 1983 2103 2188 2644 2735 2804 3282 3305 3505 3966 4206 4376 5288 5470 5608 6564 6610 7010 7932 8205 8412 9915 10515 10940 13128 13220 14020 15864 16410 16824 19830 21030 21880 26440 28040 32820 39660 42060 65640 79320 84120 361567 383447 463361 723134 766894 926722 1084701 1150341 1390083 1446268 1533788 1807835 1853444 1917235 2169402 2300682 2316805 2780166 2892536 3067576 3615670 3706888 3834470 4338804 4601364 4633610 5423505 5560332 5751705 6950415 7231340 7668940 8677608 9202728 9267220 10847010 11120664 11503410 13900830 14462680 15337880 18534440 21694020 23006820 27801660 43388040 46013640 55603320 253458467 506916934 760375401 1013833868 1267292335 1520750802 2027667736 2534584670 3041501604 3801877005 5069169340 6083003208 7603754010 10138338680 15207508020 30415016040