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14120144340 = 223510314471579
BaseRepresentation
bin11010010011010000…
…00100110111010100
31100110001112122121220
431021220010313110
5212404224104330
610253043410340
71006624150401
oct151150046724
940401478556
1014120144340
115a964a9485
1228a09839b0
1314404866c3
1497d42d2a8
15579966710
hex349a04dd4

14120144340 has 96 divisors (see below), whose sum is σ = 39973140480. Its totient is φ = 3723878016.

The previous prime is 14120144317. The next prime is 14120144347. The reversal of 14120144340 is 4344102141.

It is a self number, because there is not a number n which added to its sum of digits gives 14120144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120144347) 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, 8941671 + ... + 8943249.

It is an arithmetic number, because the mean of its divisors is an integer number (416386880).

Almost surely, 214120144340 is an apocalyptic number.

14120144340 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 14120144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986570240).

14120144340 is an abundant number, since it is smaller than the sum of its proper divisors (25852996140).

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

14120144340 is a wasteful number, since it uses less digits than its factorization.

14120144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14120144340 its reverse (4344102141), we get a palindrome (18464246481).

The spelling of 14120144340 in words is "fourteen billion, one hundred twenty million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1447 1545 1579 2060 2894 3090 3158 4341 4737 5788 6180 6316 7235 7895 8682 9474 14470 15790 17364 18948 21705 23685 28940 31580 43410 47370 86820 94740 149041 162637 298082 325274 447123 487911 596164 650548 745205 813185 894246 975822 1490410 1626370 1788492 1951644 2235615 2284813 2439555 2980820 3252740 4471230 4569626 4879110 6854439 8942460 9139252 9758220 11424065 13708878 22848130 27417756 34272195 45696260 68544390 137088780 235335739 470671478 706007217 941342956 1176678695 1412014434 2353357390 2824028868 3530036085 4706714780 7060072170 14120144340