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14104311300 = 2234521741273
BaseRepresentation
bin11010010001010111…
…01011011000000100
31100101221202020210000
431020223223120010
5212341200430200
610251320201300
71006342445052
oct151053533004
940357666700
1014104311300
115a88574922
122897609230
13143a101b41
1497b2ab1d2
1557838a300
hex348aeb604

14104311300 has 90 divisors (see below), whose sum is σ = 45720631418. Its totient is φ = 3761147520.

The previous prime is 14104311217. The next prime is 14104311301. The reversal of 14104311300 is 311340141.

It can be written as a sum of positive squares in 3 ways, for example, as 994519296 + 13109792004 = 31536^2 + 114498^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (14104311301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 862537 + ... + 878736.

Almost surely, 214104311300 is an apocalyptic number.

14104311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104311300 is an abundant number, since it is smaller than the sum of its proper divisors (31616320118).

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

14104311300 is a wasteful number, since it uses less digits than its factorization.

14104311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741299 (or 1741283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14104311300 its reverse (311340141), we get a palindrome (14415651441).

The spelling of 14104311300 in words is "fourteen billion, one hundred four million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1741273 3482546 5223819 6965092 8706365 10447638 15671457 17412730 20895276 26119095 31342914 34825460 43531825 47014371 52238190 62685828 78357285 87063650 94028742 104476380 130595475 141043113 156714570 174127300 188057484 235071855 261190950 282086226 313429140 391786425 470143710 522381900 564172452 705215565 783572850 940287420 1175359275 1410431130 1567145700 2350718550 2820862260 3526077825 4701437100 7052155650 14104311300