Search a number
-
+
30441434112 = 2103210332069
BaseRepresentation
bin11100010110011100…
…110110110000000000
32220120111221002010200
4130112130312300000
5444321001342422
621552401325200
72125236630525
oct342634666000
986514832120
1030441434112
1111a0143a011
125a96936800
132b41982c0b
14168ad1714c
15bd27742ac
hex716736c00

30441434112 has 132 divisors (see below), whose sum is σ = 88755136080. Its totient is φ = 10048315392.

The previous prime is 30441434087. The next prime is 30441434141. The reversal of 30441434112 is 21143414403.

30441434112 is a `hidden beast` number, since 304 + 4 + 1 + 4 + 341 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933214 + ... + 965282.

Almost surely, 230441434112 is an apocalyptic number.

30441434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30441434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44377568040).

30441434112 is an abundant number, since it is smaller than the sum of its proper divisors (58313701968).

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

30441434112 is a wasteful number, since it uses less digits than its factorization.

30441434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32198 (or 32177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30441434112 its reverse (21143414403), we get a palindrome (51584848515).

The spelling of 30441434112 in words is "thirty billion, four hundred forty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 512 576 618 768 824 927 1024 1152 1236 1536 1648 1854 2304 2472 3072 3296 3708 4608 4944 6592 7416 9216 9888 13184 14832 19776 26368 29664 32069 39552 52736 59328 64138 79104 96207 105472 118656 128276 158208 192414 237312 256552 288621 316416 384828 474624 513104 577242 769656 949248 1026208 1154484 1539312 2052416 2308968 3078624 3303107 4104832 4617936 6157248 6606214 8209664 9235872 9909321 12314496 13212428 16419328 18471744 19818642 24628992 26424856 29727963 32838656 36943488 39637284 49257984 52849712 59455926 73886976 79274568 98515968 105699424 118911852 147773952 158549136 211398848 237823704 295547904 317098272 422797696 475647408 634196544 845595392 951294816 1268393088 1691190784 1902589632 2536786176 3382381568 3805179264 5073572352 7610358528 10147144704 15220717056 30441434112