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30140413020 = 22325237280293
BaseRepresentation
bin11100000100100000…
…100011010001011100
32212210112111121211100
4130010200203101130
5443211421204040
621502445353100
72114623166154
oct340440432134
985715447740
1030140413020
1111867528453
125a11b68790
132ac44b8423
14165cd59764
15bb6112b30
hex70482345c

30140413020 has 72 divisors (see below), whose sum is σ = 95400972576. Its totient is φ = 7687988352.

The previous prime is 30140413003. The next prime is 30140413057. The reversal of 30140413020 is 2031404103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30140412984 and 30140413002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3636007 + ... + 3644286.

It is an arithmetic number, because the mean of its divisors is an integer number (1325013508).

Almost surely, 230140413020 is an apocalyptic number.

30140413020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30140413020 is an abundant number, since it is smaller than the sum of its proper divisors (65260559556).

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

30140413020 is a wasteful number, since it uses less digits than its factorization.

30140413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280331 (or 7280326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30140413020 its reverse (2031404103), we get a palindrome (32171817123).

The spelling of 30140413020 in words is "thirty billion, one hundred forty million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 7280293 14560586 21840879 29121172 36401465 43681758 65522637 72802930 87363516 109204395 131045274 145605860 167446739 218408790 262090548 327613185 334893478 436817580 502340217 655226370 669786956 837233695 1004680434 1310452740 1507020651 1674467390 2009360868 2511701085 3014041302 3348934780 5023402170 6028082604 7535103255 10046804340 15070206510 30140413020