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14530344240 = 2435194177719
BaseRepresentation
bin11011000100001001…
…10111010100110000
31101111122101222002210
431202010313110300
5214224232003430
610401455412120
71023034613436
oct154204672460
941448358083
1014530344240
116187000765
122996224040
1314a7459839
149bbacad56
155a09922b0
hex362137530

14530344240 has 160 divisors (see below), whose sum is σ = 48571891200. Its totient is φ = 3581245440.

The previous prime is 14530344197. The next prime is 14530344263. The reversal of 14530344240 is 4244303541.

It is a super-2 number, since 2×145303442402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14530344198 and 14530344207.

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, 148101 + ... + 225819.

It is an arithmetic number, because the mean of its divisors is an integer number (303574320).

Almost surely, 214530344240 is an apocalyptic number.

14530344240 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 14530344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285945600).

14530344240 is an abundant number, since it is smaller than the sum of its proper divisors (34041546960).

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

14530344240 is a wasteful number, since it uses less digits than its factorization.

14530344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77795 (or 77789 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 14530344240 its reverse (4244303541), we get a palindrome (18774647781).

The spelling of 14530344240 in words is "fourteen billion, five hundred thirty million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 60 76 80 82 95 114 120 123 152 164 190 205 228 240 246 285 304 328 380 410 456 492 570 615 656 760 779 820 912 984 1140 1230 1520 1558 1640 1968 2280 2337 2460 3116 3280 3895 4560 4674 4920 6232 7790 9348 9840 11685 12464 15580 18696 23370 31160 37392 46740 62320 77719 93480 155438 186960 233157 310876 388595 466314 621752 777190 932628 1165785 1243504 1476661 1554380 1865256 2331570 2953322 3108760 3186479 3730512 4429983 4663140 5906644 6217520 6372958 7383305 8859966 9326280 9559437 11813288 12745916 14766610 15932395 17719932 18652560 19118874 22149915 23626576 25491832 29533220 31864790 35439864 38237748 44299830 47797185 50983664 59066440 60543101 63729580 70879728 76475496 88599660 95594370 118132880 121086202 127459160 152950992 177199320 181629303 191188740 242172404 254918320 302715505 354398640 363258606 382377480 484344808 605431010 726517212 764754960 908146515 968689616 1210862020 1453034424 1816293030 2421724040 2906068848 3632586060 4843448080 7265172120 14530344240