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30316310440 = 23513389149873
BaseRepresentation
bin11100001110111111…
…100010111110101000
32220020210111010201121
4130032333202332220
5444041433413230
621532131425024
72122160246503
oct341677427650
986223433647
1030316310440
1111947848819
125a60a55174
132b21a83b40
14167846613a
15bc67aa77a
hex70efe2fa8

30316310440 has 64 divisors (see below), whose sum is σ = 73648083600. Its totient is φ = 11164864512.

The previous prime is 30316310413. The next prime is 30316310441. The reversal of 30316310440 is 4401361303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8107561764 + 22208748676 = 90042^2 + 149026^2 .

It is not an unprimeable number, because it can be changed into a prime (30316310441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127344 + ... + 277216.

Almost surely, 230316310440 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 30316310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824041800).

30316310440 is an abundant number, since it is smaller than the sum of its proper divisors (43331773160).

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

30316310440 is a wasteful number, since it uses less digits than its factorization.

30316310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150286 (or 150282 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 30316310440 its reverse (4401361303), we get a palindrome (34717671743).

The spelling of 30316310440 in words is "thirty billion, three hundred sixteen million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 389 520 778 1556 1945 3112 3890 5057 7780 10114 15560 20228 25285 40456 50570 101140 149873 202280 299746 599492 749365 1198984 1498730 1948349 2997460 3896698 5994920 7793396 9741745 15586792 19483490 38966980 58300597 77933960 116601194 233202388 291502985 466404776 583005970 757907761 1166011940 1515815522 2332023880 3031631044 3789538805 6063262088 7579077610 15158155220 30316310440