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14102015040 = 263254896533
BaseRepresentation
bin11010010001000101…
…11010110001000000
31100101210102120220100
431020202322301000
5212340103440130
610251155042400
71006314102321
oct151042726100
940353376810
1014102015040
115a87246693
1228968a0400
1314397a98c9
1497ac70448
15578084c60
hex3488bac40

14102015040 has 84 divisors (see below), whose sum is σ = 48505065804. Its totient is φ = 3760536576.

The previous prime is 14102015029. The next prime is 14102015063. The reversal of 14102015040 is 4051020141.

14102015040 is a `hidden beast` number, since 1 + 410 + 201 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9234441216 + 4867573824 = 96096^2 + 69768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 2445387 + ... + 2451146.

Almost surely, 214102015040 is an apocalyptic number.

14102015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14102015040 is an abundant number, since it is smaller than the sum of its proper divisors (34403050764).

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

14102015040 is a wasteful number, since it uses less digits than its factorization.

14102015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896556 (or 4896543 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 14102015040 its reverse (4051020141), we get a palindrome (18153035181).

The spelling of 14102015040 in words is "fourteen billion, one hundred two million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4896533 9793066 14689599 19586132 24482665 29379198 39172264 44068797 48965330 58758396 73447995 78344528 88137594 97930660 117516792 146895990 156689056 176275188 195861320 220343985 235033584 293791980 313378112 352550376 391722640 440687970 470067168 587583960 705100752 783445280 881375940 940134336 1175167920 1410201504 1566890560 1762751880 2350335840 2820403008 3525503760 4700671680 7051007520 14102015040