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14434321552120 = 23517193129185193
BaseRepresentation
bin1101001000001100000010…
…0110111101001011111000
31220002220111200112211011101
43102003000212331023320
53342442442304131440
650411011421141144
73016562641545541
oct322030046751370
956086450484141
1014434321552120
11466561a23a098
1217515750ba7b4
138091c60815c2
1437c8a69b34c8
151a070aa1069a
hexd20c09bd2f8

14434321552120 has 128 divisors (see below), whose sum is σ = 34593003253440. Its totient is φ = 5401690767360.

The previous prime is 14434321552117. The next prime is 14434321552201. The reversal of 14434321552120 is 2125512343441.

It is a self number, because there is not a number n which added to its sum of digits gives 14434321552120.

It is a congruent number.

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, 169388244 + ... + 169473436.

Almost surely, 214434321552120 is an apocalyptic number.

14434321552120 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 14434321552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296501626720).

14434321552120 is an abundant number, since it is smaller than the sum of its proper divisors (20158681701320).

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

14434321552120 is a wasteful number, since it uses less digits than its factorization.

14434321552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86705 (or 86701 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 14434321552120 its reverse (2125512343441), we get a palindrome (16559833895561).

The spelling of 14434321552120 in words is "fourteen trillion, four hundred thirty-four billion, three hundred twenty-one million, five hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1291 1544 1930 2582 3281 3860 5164 6455 6562 7720 10328 12910 13124 16405 21947 25820 26248 32810 43894 51640 65620 85193 87788 109735 131240 170386 175576 219470 249163 340772 425965 438940 498326 681544 851930 877880 996652 1245815 1448281 1703860 1993304 2491630 2896562 3407720 4235771 4983260 5793124 7241405 8471542 9966520 11586248 14482810 16442249 16943084 21178855 28965620 32884498 33886168 42357710 57931240 65768996 82211245 84715420 109984163 131537992 164422490 169430840 219968326 279518233 328844980 439936652 549920815 559036466 657689960 879873304 1099841630 1118072932 1397591165 1869730771 2199683260 2236145864 2795182330 3739461542 4399366520 5590364660 7478923084 9348653855 11180729320 14957846168 18697307710 21226943459 37394615420 42453886918 74789230840 84907773836 106134717295 169815547672 212269434590 360858038803 424538869180 721716077606 849077738360 1443432155212 1804290194015 2886864310424 3608580388030 7217160776060 14434321552120