Search a number
-
+
430442320040 = 235233131494799
BaseRepresentation
bin1100100001110000101…
…11001001000010101000
31112011001021011110101122
412100320113021002220
524023021213220130
6525424212434412
743045522231445
oct6207027110250
91464037143348
10430442320040
11156605516a87
126b50a318a08
133178a541575
1416b9526a9cc
15b2e42952e5
hex64385c90a8

430442320040 has 64 divisors (see below), whose sum is σ = 1013833152000. Its totient is φ = 164164695552.

The previous prime is 430442319961. The next prime is 430442320117. The reversal of 430442320040 is 40023244034.

It is a junction number, because it is equal to n+sod(n) for n = 430442319991 and 430442320009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459440 + ... + 1035359.

It is an arithmetic number, because the mean of its divisors is an integer number (15841143000).

Almost surely, 2430442320040 is an apocalyptic number.

430442320040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430442320040 is an abundant number, since it is smaller than the sum of its proper divisors (583390831960).

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

430442320040 is a wasteful number, since it uses less digits than its factorization.

430442320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495146 (or 1495142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 430442320040 its reverse (40023244034), we get a palindrome (470465564074).

The spelling of 430442320040 in words is "four hundred thirty billion, four hundred forty-two million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 313 460 626 920 1252 1565 2504 3130 6260 7199 12520 14398 28796 35995 57592 71990 143980 287960 1494799 2989598 5979196 7473995 11958392 14947990 29895980 34380377 59791960 68760754 137521508 171901885 275043016 343803770 467872087 687607540 935744174 1375215080 1871488348 2339360435 3742976696 4678720870 9357441740 10761058001 18714883480 21522116002 43044232004 53805290005 86088464008 107610580010 215221160020 430442320040