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14022003330 = 23251912393413
BaseRepresentation
bin11010000111100011…
…01100101010000010
31100012012212120110200
431003301230222002
5212204113101310
610235220110030
71004323030116
oct150361545202
940165776420
1014022003330
115a46067705
122873b35316
1314260440ba
149703a3746
1557102c9c0
hex343c6ca82

14022003330 has 96 divisors (see below), whose sum is σ = 36812206080. Its totient is φ = 3702975360.

The previous prime is 14022003329. The next prime is 14022003361. The reversal of 14022003330 is 3330022041.

14022003330 is a `hidden beast` number, since 1 + 402 + 200 + 33 + 30 = 666.

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

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, 4106704 + ... + 4110116.

It is an arithmetic number, because the mean of its divisors is an integer number (383460480).

Almost surely, 214022003330 is an apocalyptic number.

14022003330 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 14022003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406103040).

14022003330 is an abundant number, since it is smaller than the sum of its proper divisors (22790202750).

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

14022003330 is a wasteful number, since it uses less digits than its factorization.

14022003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 14022003330 its reverse (3330022041), we get a palindrome (17352025371).

The spelling of 14022003330 in words is "fourteen billion, twenty-two million, three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 239 382 478 573 717 955 1146 1195 1434 1719 1910 2151 2390 2865 3413 3438 3585 4302 5730 6826 7170 8595 10239 10755 17065 17190 20478 21510 30717 34130 45649 51195 61434 91298 102390 136947 153585 228245 273894 307170 410841 456490 651883 684735 815707 821682 1303766 1369470 1631414 1955649 2054205 2447121 3259415 3911298 4078535 4108410 4894242 5866947 6518830 7341363 8157070 9778245 11733894 12235605 14682726 19556490 24471210 29334735 36706815 58669470 73413630 155800037 311600074 467400111 779000185 934800222 1402200333 1558000370 2337000555 2804400666 4674001110 7011001665 14022003330