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14331112101024 = 253433560397511
BaseRepresentation
bin1101000010001011100011…
…0110001001010010100000
31212202001002211202110200120
43100202320312021102200
53334300104144213044
650251342204320240
73006250213645005
oct320427066112240
955661084673616
1014331112101024
114625877195974
121735570543080
137cc558674594
143778b55c78ac
1519cbb9b5c519
hexd08b8d894a0

14331112101024 has 96 divisors (see below), whose sum is σ = 38495509645824. Its totient is φ = 4665764570880.

The previous prime is 14331112101013. The next prime is 14331112101049. The reversal of 14331112101024 is 42010121113341.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 14331112100985 and 14331112101003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146920429 + ... + 147017939.

It is an arithmetic number, because the mean of its divisors is an integer number (400994892144).

Almost surely, 214331112101024 is an apocalyptic number.

It is an amenable number.

14331112101024 is an abundant number, since it is smaller than the sum of its proper divisors (24164397544800).

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

14331112101024 is a wasteful number, since it uses less digits than its factorization.

14331112101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133170 (or 133162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 14331112101024 its reverse (42010121113341), we get a palindrome (56341233214365).

The spelling of 14331112101024 in words is "fourteen trillion, three hundred thirty-one billion, one hundred twelve million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 35603 71206 97511 106809 142412 195022 213618 284824 292533 390044 427236 569648 585066 780088 854472 1139296 1170132 1530929 1560176 1708944 2340264 3061858 3120352 3417888 4192973 4592787 4680528 6123716 8385946 9185574 9361056 12247432 12578919 16771892 18371148 24494864 25157838 33543784 36742296 48989728 50315676 67087568 73484592 100631352 134175136 146969184 201262704 402525408 3471684133 6943368266 10415052399 13886736532 20830104798 27773473064 41660209596 55546946128 83320419192 111093892256 149282417719 166640838384 298564835438 333281676768 447847253157 597129670876 895694506314 1194259341752 1791389012628 2388518683504 3582778025256 4777037367008 7165556050512 14331112101024