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14431100412030 = 23531411481255551
BaseRepresentation
bin1101001000000000000010…
…0111010010000001111110
31220002121012012101221122120
43102000000213102001332
53342414343201141110
650405320033023410
73016420056400551
oct322000047220176
956077165357576
1014431100412030
114664216a67945
121750a163b4b66
13808b01920753
1437c67cc84698
151a05bcd38870
hexd20009d207e

14431100412030 has 128 divisors (see below), whose sum is σ = 36648757297152. Its totient is φ = 3630854400000.

The previous prime is 14431100412013. The next prime is 14431100412083. The reversal of 14431100412030 is 3021400113441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56342755 + ... + 56598305.

It is an arithmetic number, because the mean of its divisors is an integer number (286318416384).

Almost surely, 214431100412030 is an apocalyptic number.

14431100412030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431100412030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324378648576).

14431100412030 is an abundant number, since it is smaller than the sum of its proper divisors (22217656885122).

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

14431100412030 is a wasteful number, since it uses less digits than its factorization.

14431100412030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257114.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14431100412030 its reverse (3021400113441), we get a palindrome (17452500525471).

The spelling of 14431100412030 in words is "fourteen trillion, four hundred thirty-one billion, one hundred million, four hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 1230 1271 1481 2542 2962 3813 4443 6355 7405 7626 8886 12710 14810 19065 22215 38130 44430 45911 60721 91822 121442 137733 182163 229555 255551 275466 303605 364326 459110 511102 607210 688665 766653 910815 1277755 1377330 1533306 1821630 1882351 2555510 3764702 3833265 5647053 7666530 7922081 9411755 10477591 11294106 15844162 18823510 20955182 23766243 28235265 31432773 39610405 47532486 52387955 56470530 62865546 79220810 104775910 118831215 157163865 237662430 314327730 324805321 378471031 649610642 756942062 974415963 1135413093 1624026605 1892355155 1948831926 2270826186 3248053210 3784710310 4872079815 5677065465 9744159630 11354130930 11732601961 15517312271 23465203922 31034624542 35197805883 46551936813 58663009805 70395611766 77586561355 93103873626 117326019610 155173122710 175989029415 232759684065 351978058830 465519368130 481036680401 962073360802 1443110041203 2405183402005 2886220082406 4810366804010 7215550206015 14431100412030