Search a number
-
+
30413422336 = 281198310987
BaseRepresentation
bin11100010100110001…
…111111111100000000
32220111120012221012111
4130110301333330000
5444241314003321
621545521105104
72124446552533
oct342461777400
986446187174
1030413422336
1111997647390
125a89488194
132b38c25bbb
141687304a1a
15bd008e5e1
hex714c7ff00

30413422336 has 72 divisors (see below), whose sum is σ = 66300361344. Its totient is φ = 13808962560.

The previous prime is 30413422283. The next prime is 30413422337. The reversal of 30413422336 is 63322431403.

It is a junction number, because it is equal to n+sod(n) for n = 30413422298 and 30413422307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30413422337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2762635 + ... + 2773621.

It is an arithmetic number, because the mean of its divisors is an integer number (920838352).

Almost surely, 230413422336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33150180672).

30413422336 is an abundant number, since it is smaller than the sum of its proper divisors (35886939008).

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

30413422336 is a wasteful number, since it uses less digits than its factorization.

30413422336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 30413422336 its reverse (63322431403), we get a palindrome (93735853739).

The spelling of 30413422336 in words is "thirty billion, four hundred thirteen million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 983 1408 1966 2816 3932 7864 10813 10987 15728 21626 21974 31456 43252 43948 62912 86504 87896 120857 125824 173008 175792 241714 251648 346016 351584 483428 692032 703168 966856 1384064 1406336 1933712 2768128 2812672 3867424 7734848 10800221 15469696 21600442 30939392 43200884 86401768 118802431 172803536 237604862 345607072 475209724 691214144 950419448 1382428288 1900838896 2764856576 3801677792 7603355584 15206711168 30413422336