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14120030240 = 255677916673
BaseRepresentation
bin11010010011001111…
…01001000000100000
31100110001022212002222
431021213221000200
5212404211431430
610253041130212
71006623163631
oct151147510040
940401285088
1014120030240
115a96430788
1228a0929968
1314404467a4
1497d3dd888
155799429e5
hex3499e9020

14120030240 has 96 divisors (see below), whose sum is σ = 34287079680. Its totient is φ = 5492957184.

The previous prime is 14120030231. The next prime is 14120030251. The reversal of 14120030240 is 4203002141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838544 + ... + 855216.

It is an arithmetic number, because the mean of its divisors is an integer number (357157080).

Almost surely, 214120030240 is an apocalyptic number.

14120030240 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 14120030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143539840).

14120030240 is an abundant number, since it is smaller than the sum of its proper divisors (20167049440).

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

14120030240 is a wasteful number, since it uses less digits than its factorization.

14120030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16834 (or 16826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14120030240 its reverse (4203002141), we get a palindrome (18323032381).

The spelling of 14120030240 in words is "fourteen billion, one hundred twenty million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 79 80 134 158 160 268 316 335 395 536 632 670 790 1072 1264 1340 1580 2144 2528 2680 3160 5293 5360 6320 10586 10720 12640 16673 21172 26465 33346 42344 52930 66692 83365 84688 105860 133384 166730 169376 211720 266768 333460 423440 533536 666920 846880 1117091 1317167 1333840 2234182 2634334 2667680 4468364 5268668 5585455 6585835 8936728 10537336 11170910 13171670 17873456 21074672 22341820 26343340 35746912 42149344 44683640 52686680 88250189 89367280 105373360 176500378 178734560 210746720 353000756 441250945 706001512 882501890 1412003024 1765003780 2824006048 3530007560 7060015120 14120030240