Search a number
-
+
30814324080 = 2435413131537
BaseRepresentation
bin11100101100101011…
…010100010101110000
32221112111120212000020
4130230223110111300
51001101431332310
622053401523440
72140415301351
oct345453242560
987474525006
1030814324080
1112082978841
125b7b7a3580
132ba0cc1a77
1416c4661d28
15c05380170
hex72cad4570

30814324080 has 80 divisors (see below), whose sum is σ = 97854299424. Its totient is φ = 8016732160.

The previous prime is 30814324063. The next prime is 30814324091. The reversal of 30814324080 is 8042341803.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555929 + ... + 1575608.

Almost surely, 230814324080 is an apocalyptic number.

30814324080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30814324080 is an abundant number, since it is smaller than the sum of its proper divisors (67039975344).

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

30814324080 is a wasteful number, since it uses less digits than its factorization.

30814324080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131594 (or 3131588 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 30814324080 its reverse (8042341803), we get a palindrome (38856665883).

The spelling of 30814324080 in words is "thirty billion, eight hundred fourteen million, three hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 3131537 6263074 9394611 12526148 15657685 18789222 25052296 31315370 37578444 46973055 50104592 62630740 75156888 93946110 125261480 128393017 150313776 187892220 250522960 256786034 375784440 385179051 513572068 641965085 751568880 770358102 1027144136 1283930170 1540716204 1925895255 2054288272 2567860340 3081432408 3851790510 5135720680 6162864816 7703581020 10271441360 15407162040 30814324080