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14300851240 = 23513711732239
BaseRepresentation
bin11010101000110010…
…11010110000101000
31100220122120111220001
431110121122300220
5213242004214430
610323020512344
71014250141564
oct152431326050
940818514801
1014300851240
116079504225
1229313ab6b4
13146ba47270
1499942c6a4
1558a75e3ca
hex35465ac28

14300851240 has 128 divisors (see below), whose sum is σ = 35359027200. Its totient is φ = 5173539840.

The previous prime is 14300851237. The next prime is 14300851261. The reversal of 14300851240 is 4215800341.

It is a junction number, because it is equal to n+sod(n) for n = 14300851199 and 14300851208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6386041 + ... + 6388279.

It is an arithmetic number, because the mean of its divisors is an integer number (276242400).

Almost surely, 214300851240 is an apocalyptic number.

14300851240 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 14300851240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679513600).

14300851240 is an abundant number, since it is smaller than the sum of its proper divisors (21058175960).

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

14300851240 is a wasteful number, since it uses less digits than its factorization.

14300851240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 14300851240 in words is "fourteen billion, three hundred million, eight hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 173 260 284 346 355 520 568 692 710 865 923 1384 1420 1730 1846 2239 2249 2840 3460 3692 4478 4498 4615 6920 7384 8956 8996 9230 11195 11245 12283 17912 17992 18460 22390 22490 24566 29107 36920 44780 44980 49132 58214 61415 89560 89960 98264 116428 122830 145535 158969 159679 232856 245660 291070 317938 319358 387347 491320 582140 635876 638716 774694 794845 798395 1164280 1271752 1277432 1549388 1589690 1596790 1936735 2066597 3098776 3179380 3193580 3873470 4133194 5035511 6358760 6387160 7746940 8266388 10071022 10332985 15493880 16532776 20142044 20665970 25177555 27501637 40284088 41331940 50355110 55003274 82663880 100710220 110006548 137508185 201420440 220013096 275016370 357521281 550032740 715042562 1100065480 1430085124 1787606405 2860170248 3575212810 7150425620 14300851240