Search a number
-
+
20404240430304 = 2531609132097061
BaseRepresentation
bin1001010001110101110111…
…00000001011010011100000
32200020121220121011001110210
410220322323200023103200
510133300341022232204
6111221324553254120
74204105046003313
oct450727340132340
980217817131423
1020404240430304
116557431870495
12235658aa04340
13b5015b2b5423
145077db67c97a
15255b63b98389
hex128ebb80b4e0

20404240430304 has 48 divisors (see below), whose sum is σ = 53594419994640. Its totient is φ = 6797186319360.

The previous prime is 20404240430281. The next prime is 20404240430339. The reversal of 20404240430304 is 40303404240402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×204042404303043 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65894067 + ... + 66202994.

It is an arithmetic number, because the mean of its divisors is an integer number (1116550416555).

Almost surely, 220404240430304 is an apocalyptic number.

20404240430304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20404240430304 is an abundant number, since it is smaller than the sum of its proper divisors (33190179564336).

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

20404240430304 is a wasteful number, since it uses less digits than its factorization.

20404240430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132098683 (or 132098675 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20404240430304 its reverse (40303404240402), we get a palindrome (60707644670706).

The spelling of 20404240430304 in words is "twenty trillion, four hundred four billion, two hundred forty million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1609 3218 4827 6436 9654 12872 19308 25744 38616 51488 77232 154464 132097061 264194122 396291183 528388244 792582366 1056776488 1585164732 2113552976 3170329464 4227105952 6340658928 12681317856 212544171149 425088342298 637632513447 850176684596 1275265026894 1700353369192 2550530053788 3400706738384 5101060107576 6801413476768 10202120215152 20404240430304