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14430002042040 = 23351331298387139
BaseRepresentation
bin1101000111111011111100…
…1001010101010010111000
31220002111100122121222021120
43101332333021111102320
53342410121010321130
650405015035105240
73016350621403644
oct321767711252270
956074318558246
1014430002042040
114663802a66252
12175076a5a2220
138089881c0990
1437c5b704bc24
151a05566c5910
hexd1fbf2554b8

14430002042040 has 128 divisors (see below), whose sum is σ = 48123877939200. Its totient is φ = 3437419829760.

The previous prime is 14430002042017. The next prime is 14430002042041. The reversal of 14430002042040 is 4024020003441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14430002042040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430002042041) 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, 149145210 + ... + 149241929.

It is an arithmetic number, because the mean of its divisors is an integer number (375967796400).

Almost surely, 214430002042040 is an apocalyptic number.

14430002042040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14430002042040 is an abundant number, since it is smaller than the sum of its proper divisors (33693875897160).

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

14430002042040 is a wasteful number, since it uses less digits than its factorization.

14430002042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298387197 (or 298387193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14430002042040 its reverse (4024020003441), we get a palindrome (18454022045481).

The spelling of 14430002042040 in words is "fourteen trillion, four hundred thirty billion, two million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 298387139 596774278 895161417 1193548556 1491935695 1790322834 2387097112 2983871390 3580645668 3879032807 4475807085 5967742780 7161291336 7758065614 8951614170 9250001309 11637098421 11935485560 15516131228 17903228340 18500002618 19395164035 23274196842 27750003927 31032262456 35806456680 37000005236 38790328070 46250006545 46548393684 55500007854 58185492105 74000010472 77580656140 92500013090 93096787368 111000015708 116370984210 120250017017 138750019635 155161312280 185000026180 222000031416 232741968420 240500034034 277500039270 360750051051 370000052360 465483936840 481000068068 555000078540 601250085085 721500102102 962000136136 1110000157080 1202500170170 1443000204204 1803750255255 2405000340340 2886000408408 3607500510510 4810000680680 7215001021020 14430002042040