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30314130240 = 263549963281
BaseRepresentation
bin11100001110110111…
…001110101101000000
32220020122101101001110
4130032313032231000
5444040404131430
621532013003320
72122132566312
oct341667165500
986218341043
1030314130240
11119465997a9
125a60183540
132b2149c694
1416780597b2
15bc64c97b0
hex70edceb40

30314130240 has 112 divisors (see below), whose sum is σ = 96441768000. Its totient is φ = 8067440640.

The previous prime is 30314130233. The next prime is 30314130277. The reversal of 30314130240 is 4203141303.

It is a congruent number.

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, 447400 + ... + 510680.

Almost surely, 230314130240 is an apocalyptic number.

30314130240 is a gapful number since it is divisible by the number (30) 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 30314130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48220884000).

30314130240 is an abundant number, since it is smaller than the sum of its proper divisors (66127637760).

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

30314130240 is a wasteful number, since it uses less digits than its factorization.

30314130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63800 (or 63790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30314130240 its reverse (4203141303), we get a palindrome (34517271543).

The spelling of 30314130240 in words is "thirty billion, three hundred fourteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 499 960 998 1497 1996 2495 2994 3992 4990 5988 7485 7984 9980 11976 14970 15968 19960 23952 29940 31936 39920 47904 59880 63281 79840 95808 119760 126562 159680 189843 239520 253124 316405 379686 479040 506248 632810 759372 949215 1012496 1265620 1518744 1898430 2024992 2531240 3037488 3796860 4049984 5062480 6074976 7593720 10124960 12149952 15187440 20249920 30374880 31577219 60749760 63154438 94731657 126308876 157886095 189463314 252617752 315772190 378926628 473658285 505235504 631544380 757853256 947316570 1010471008 1263088760 1515706512 1894633140 2020942016 2526177520 3031413024 3789266280 5052355040 6062826048 7578532560 10104710080 15157065120 30314130240