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20304114313104 = 2432521270634921
BaseRepresentation
bin1001001110111011010111…
…00001010110011110010000
32122220001110122012021221200
410213131223201112132100
510130130311231004404
6111103325323151200
74163631611025216
oct447355341263620
978801418167850
1020304114313104
116518a212256a6
12233b0a6975500
13b4389261962b
14502a1d98ccb6
1525325384a839
hex12776b856790

20304114313104 has 60 divisors (see below), whose sum is σ = 56932386001452. Its totient is φ = 6755047603200.

The previous prime is 20304114313073. The next prime is 20304114313117. The reversal of 20304114313104 is 40131341140302.

20304114313104 is a `hidden beast` number, since 2 + 0 + 304 + 1 + 1 + 43 + 1 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6293676038400 + 14010438274704 = 2508720^2 + 3743052^2 .

It is a super-2 number, since 2×203041143131042 (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 135242437 + ... + 135392484.

Almost surely, 220304114313104 is an apocalyptic number.

20304114313104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20304114313104 is an abundant number, since it is smaller than the sum of its proper divisors (36628271688348).

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

20304114313104 is a wasteful number, since it uses less digits than its factorization.

20304114313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270635456 (or 270635447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20304114313104 its reverse (40131341140302), we get a palindrome (60435455453406).

The spelling of 20304114313104 in words is "twenty trillion, three hundred four billion, one hundred fourteen million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 18756 25008 37512 75024 270634921 541269842 811904763 1082539684 1623809526 2165079368 2435714289 3247619052 4330158736 4871428578 6495238104 9742857156 12990476208 19485714312 38971428624 141000793841 282001587682 423002381523 564003175364 846004763046 1128006350728 1269007144569 1692009526092 2256012701456 2538014289138 3384019052184 5076028578276 6768038104368 10152057156552 20304114313104