Search a number
-
+
430110122421044 = 221317261134681921
BaseRepresentation
bin110000111001011101101000…
…1000011111010101100110100
32002101220010101221201111002202
41201302323101003322230310
5422333411012314433134
64122433510143524032
7156411300535425632
oct14162732103725464
92071803357644082
10430110122421044
1111505675118257a
12402a62818b9618
13155cc29764aa90
14782d626164352
1534ad240b32d7e
hex1872ed10fab34

430110122421044 has 72 divisors (see below), whose sum is σ = 861219906555288. Its totient is φ = 186804562821120.

The previous prime is 430110122421043. The next prime is 430110122421053. The reversal of 430110122421044 is 440124221011034.

It can be written as a sum of positive squares in 12 ways, for example, as 75083958010000 + 355026164411044 = 8665100^2 + 18842138^2 .

It is a super-3 number, since 3×4301101224210443 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430110122420998 and 430110122421016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430110122421041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89525204 + ... + 94207124.

Almost surely, 2430110122421044 is an apocalyptic number.

It is an amenable number.

430110122421044 is an abundant number, since it is smaller than the sum of its proper divisors (431109784134244).

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

430110122421044 is a wasteful number, since it uses less digits than its factorization.

430110122421044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688085 (or 4688066 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 430110122421044 its reverse (440124221011034), we get a palindrome (870234343432078).

The spelling of 430110122421044 in words is "four hundred thirty trillion, one hundred ten billion, one hundred twenty-two million, four hundred twenty-one thousand, forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 6113 7514 12226 15028 24452 79469 103921 158938 207842 317876 415684 1350973 1766657 2701946 3533314 4681921 5403892 7066628 9363842 18727684 22966541 45933082 60864973 79592657 91866164 121729946 159185314 243459892 318370628 1034704541 1353075169 2069409082 2706150338 4138818164 5412300676 17589977197 28620583073 35179954394 57241166146 70359908788 114482332292 372067579949 486549912241 744135159898 973099824482 1488270319796 1946199648964 6325148859133 8271348508097 12650297718266 16542697016194 25300595436532 33085394032388 107527530605261 215055061210522 430110122421044