Search a number
-
+
10000342434404 = 2272364124225401
BaseRepresentation
bin1001000110000110001011…
…0110111100001001100100
31022102000122001120201112002
42101201202312330021210
52302321200130400104
633134032140344432
72051333544111320
oct221414266741144
938360561521462
1010000342434404
113206137661063
121156172545118
1357704a092c2a
1426803a7ca980
151251ea03501e
hex91862dbc264

10000342434404 has 48 divisors (see below), whose sum is σ = 20902839664896. Its totient is φ = 4093123584000.

The previous prime is 10000342434359. The next prime is 10000342434409. The reversal of 10000342434404 is 40443424300001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10000342434409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11699897 + ... + 12525504.

It is an arithmetic number, because the mean of its divisors is an integer number (435475826352).

Almost surely, 210000342434404 is an apocalyptic number.

10000342434404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000342434404 is an abundant number, since it is smaller than the sum of its proper divisors (10902497230492).

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

10000342434404 is a wasteful number, since it uses less digits than its factorization.

10000342434404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24226076 (or 24226074 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10000342434404 its reverse (40443424300001), we get a palindrome (50443766734405).

The spelling of 10000342434404 in words is "ten trillion, three hundred forty-two million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 641 644 1282 2564 4487 8974 14743 17948 29486 58972 103201 206402 412804 24225401 48450802 96901604 169577807 339155614 557184223 678311228 1114368446 2228736892 3900289561 7800579122 15528482041 15601158244 31056964082 62113928164 108699374287 217398748574 357155086943 434797497148 714310173886 1428620347772 2500085608601 5000171217202 10000342434404