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1424131686300 = 2235213964153279
BaseRepresentation
bin10100101110010100110…
…111001111111110011100
312001010221012000110211010
4110232110313033332130
5141313110202430200
63010123112255220
7204614211413421
oct24562467177634
95033835013733
101424131686300
114a9a75234394
121b000a9a1510
13a43ab28c3ab
144ccdd523d48
15270a19b4150
hex14b94dcff9c

1424131686300 has 144 divisors (see below), whose sum is σ = 4156683955200. Its totient is φ = 376441036800.

The previous prime is 1424131686247. The next prime is 1424131686361. The reversal of 1424131686300 is 36861314241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26703061 + ... + 26756339.

It is an arithmetic number, because the mean of its divisors is an integer number (28865860800).

Almost surely, 21424131686300 is an apocalyptic number.

1424131686300 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 1424131686300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078341977600).

1424131686300 is an abundant number, since it is smaller than the sum of its proper divisors (2732552268900).

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

1424131686300 is a wasteful number, since it uses less digits than its factorization.

1424131686300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54076 (or 54069 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1424131686300 in words is "one trillion, four hundred twenty-four billion, one hundred thirty-one million, six hundred eighty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 641 695 834 1282 1390 1668 1923 2085 2564 2780 3205 3475 3846 4170 6410 6950 7692 8340 9615 10425 12820 13900 16025 19230 20850 32050 38460 41700 48075 53279 64100 89099 96150 106558 159837 178198 192300 213116 266395 267297 319674 356396 445495 532790 534594 639348 799185 890990 1065580 1069188 1331975 1336485 1598370 1781980 2227475 2663950 2672970 3196740 3995925 4454950 5327900 5345940 6682425 7405781 7991850 8909900 13364850 14811562 15983700 22217343 26729700 29623124 34151839 37028905 44434686 68303678 74057810 88869372 102455517 111086715 136607356 148115620 170759195 185144525 204911034 222173430 341518390 370289050 409822068 444346860 512277585 555433575 683036780 740578100 853795975 1024555170 1110867150 1707591950 2049110340 2221734300 2561387925 3415183900 4747105621 5122775850 9494211242 10245551700 14241316863 18988422484 23735528105 28482633726 47471056210 56965267452 71206584315 94942112420 118677640525 142413168630 237355281050 284826337260 356032921575 474710562100 712065843150 1424131686300