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14304240040 = 23523671092129
BaseRepresentation
bin11010101001001100…
…10110000110101000
31100220212221200110011
431110212112012220
5213243341140130
610323221301304
71014321014506
oct152446260650
940825850404
1014304240040
116080409292
122932564834
13146c66287c
14999a71676
1558abcd52a
hex3549961a8

14304240040 has 128 divisors (see below), whose sum is σ = 34413984000. Its totient is φ = 5339271168.

The previous prime is 14304240029. The next prime is 14304240043. The reversal of 14304240040 is 4004240341.

It is a super-2 number, since 2×143042400402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14304239993 and 14304240020.

It is not an unprimeable number, because it can be changed into a prime (14304240043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6717696 + ... + 6719824.

It is an arithmetic number, because the mean of its divisors is an integer number (268859250).

Almost surely, 214304240040 is an apocalyptic number.

14304240040 is a gapful number since it is divisible by the number (10) 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 14304240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206992000).

14304240040 is an abundant number, since it is smaller than the sum of its proper divisors (20109743960).

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

14304240040 is a wasteful number, since it uses less digits than its factorization.

14304240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14304240040 its reverse (4004240341), we get a palindrome (18308480381).

The spelling of 14304240040 in words is "fourteen billion, three hundred four million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 109 115 134 184 218 230 268 335 436 460 536 545 670 872 920 1090 1340 1541 2129 2180 2507 2680 3082 4258 4360 5014 6164 7303 7705 8516 10028 10645 12328 12535 14606 15410 17032 20056 21290 25070 29212 30820 36515 42580 48967 50140 58424 61640 73030 85160 97934 100280 142643 146060 167969 195868 232061 244835 285286 292120 335938 391736 464122 489670 570572 671876 713215 839845 928244 979340 1141144 1160305 1343752 1426430 1679690 1856488 1958680 2320610 2852860 3280789 3359380 4641220 5337403 5705720 6561578 6718760 9282440 10674806 13123156 15548087 16403945 21349612 26246312 26687015 31096174 32807890 42699224 53374030 62192348 65615780 77740435 106748060 124384696 131231560 155480870 213496120 310961740 357606001 621923480 715212002 1430424004 1788030005 2860848008 3576060010 7152120020 14304240040