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14412003430300 = 2252759386340231
BaseRepresentation
bin1101000110111000111001…
…0110000100111110011100
31220000202220022001202120221
43101232032112010332130
53342111240334232200
650352441042251124
73015142610623150
oct321561626047634
956022808052527
1014412003430300
114657107241913
121749186956aa4
1380707a358268
1437b78a8a3060
1519ed514e391a
hexd1b8e584f9c

14412003430300 has 144 divisors (see below), whose sum is σ = 35844417810432. Its totient is φ = 4927087180800.

The previous prime is 14412003430261. The next prime is 14412003430411. The reversal of 14412003430300 is 303430021441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358211185 + ... + 358251415.

It is an arithmetic number, because the mean of its divisors is an integer number (248919568128).

Almost surely, 214412003430300 is an apocalyptic number.

14412003430300 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 14412003430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922208905216).

14412003430300 is an abundant number, since it is smaller than the sum of its proper divisors (21432414380132).

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

14412003430300 is a wasteful number, since it uses less digits than its factorization.

14412003430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41708 (or 41701 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14412003430300 its reverse (303430021441), we get a palindrome (14715433451741).

The spelling of 14412003430300 in words is "fourteen trillion, four hundred twelve billion, three million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 593 700 863 1186 1726 2372 2965 3452 4151 4315 5930 6041 8302 8630 11860 12082 14825 16604 17260 20755 21575 24164 29650 30205 40231 41510 43150 59300 60410 80462 83020 86300 103775 120820 151025 160924 201155 207550 281617 302050 402310 415100 511759 563234 604100 804620 1005775 1023518 1126468 1408085 2011550 2047036 2558795 2816170 3582313 4023100 5117590 5632340 7040425 7164626 10235180 12793975 14080850 14329252 17911565 23856983 25587950 28161700 34719353 35823130 47713966 51175900 69438706 71646260 89557825 95427932 119284915 138877412 166998881 173596765 179115650 238569830 243035471 333997762 347193530 358231300 477139660 486070942 596424575 667995524 694387060 834994405 867983825 972141884 1192849150 1215177355 1669988810 1735967650 2385698300 2430354710 3339977620 3471935300 4174972025 4860709420 6075886775 8349944050 12151773550 16699888100 20588576329 24303547100 41177152658 82354305316 102942881645 144120034303 205885763290 288240068606 411771526580 514714408225 576480137212 720600171515 1029428816450 1441200343030 2058857632900 2882400686060 3603000857575 7206001715150 14412003430300