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30658938440 = 23513313188369
BaseRepresentation
bin11100100011011010…
…100100011001001000
32221010200012102222112
4130203122210121020
51000242142012230
622030131241452
72133520451114
oct344332443110
987120172875
1030658938440
1112003198259
125b37749288
132b77a586c0
1416abb74744
15be68d9d95
hex7236a4648

30658938440 has 64 divisors (see below), whose sum is σ = 74526706800. Its totient is φ = 11283996672.

The previous prime is 30658938437. The next prime is 30658938463. The reversal of 30658938440 is 4483985603.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3703209316 + 26955729124 = 60854^2 + 164182^2 .

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, 68576 + ... + 256944.

Almost surely, 230658938440 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 30658938440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37263353400).

30658938440 is an abundant number, since it is smaller than the sum of its proper divisors (43867768360).

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

30658938440 is a wasteful number, since it uses less digits than its factorization.

30658938440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188706 (or 188702 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 30658938440 in words is "thirty billion, six hundred fifty-eight million, nine hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 313 520 626 1252 1565 2504 3130 4069 6260 8138 12520 16276 20345 32552 40690 81380 162760 188369 376738 753476 941845 1506952 1883690 2448797 3767380 4897594 7534760 9795188 12243985 19590376 24487970 48975940 58959497 97951880 117918994 235837988 294797485 471675976 589594970 766473461 1179189940 1532946922 2358379880 3065893844 3832367305 6131787688 7664734610 15329469220 30658938440