Search a number
-
+
10420434304 = 27753219433
BaseRepresentation
bin10011011010001101…
…10011010110000000
3222220012212220120021
421231012303112000
5132320112344204
64442002023224
7516141141640
oct115506632600
928805786507
1010420434304
114468077585
122029947b14
13ca0b34a77
1470bd26520
1540ec5b154
hex26d1b3580

10420434304 has 64 divisors (see below), whose sum is σ = 24172849440. Its totient is φ = 4381618176.

The previous prime is 10420434287. The next prime is 10420434331. The reversal of 10420434304 is 40343402401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 62229 + ... + 157204.

Almost surely, 210420434304 is an apocalyptic number.

10420434304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10420434304 is an abundant number, since it is smaller than the sum of its proper divisors (13752415136).

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

10420434304 is an equidigital number, since it uses as much as digits as its factorization.

10420434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219507 (or 219495 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10420434304 its reverse (40343402401), we get a palindrome (50763836705).

The spelling of 10420434304 in words is "ten billion, four hundred twenty million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488 219433 438866 877732 1536031 1755464 3072062 3510928 6144124 7021856 11629949 12288248 14043712 23259898 24576496 28087424 46519796 49152992 81409643 93039592 98305984 162819286 186079184 196611968 325638572 372158368 651277144 744316736 1302554288 1488633472 2605108576 5210217152 10420434304