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14330444440 = 23513172297079
BaseRepresentation
bin11010101100010100…
…10011101010011000
31100222201021000010111
431112022103222120
5213322043210230
610325555054104
71015056524254
oct152612235230
940881230114
1014330444440
116094187014
12293b2a1334
131474c09030
1499d333264
1558d15792a
hex356293a98

14330444440 has 128 divisors (see below), whose sum is σ = 36932112000. Its totient is φ = 4957544448.

The previous prime is 14330444417. The next prime is 14330444467. The reversal of 14330444440 is 4444403341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2020821 + ... + 2027899.

It is an arithmetic number, because the mean of its divisors is an integer number (288532125).

Almost surely, 214330444440 is an apocalyptic number.

14330444440 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 14330444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466056000).

14330444440 is an abundant number, since it is smaller than the sum of its proper divisors (22601667560).

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

14330444440 is a wasteful number, since it uses less digits than its factorization.

14330444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 14330444440 its reverse (4444403341), we get a palindrome (18774847781).

The spelling of 14330444440 in words is "fourteen billion, three hundred thirty million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 229 260 340 442 458 520 680 884 916 1105 1145 1768 1832 2210 2290 2977 3893 4420 4580 5954 7079 7786 8840 9160 11908 14158 14885 15572 19465 23816 28316 29770 31144 35395 38930 50609 56632 59540 70790 77860 92027 101218 119080 120343 141580 155720 184054 202436 240686 253045 283160 368108 404872 460135 481372 506090 601715 736216 920270 962744 1012180 1203430 1564459 1621091 1840540 2024360 2406860 3128918 3242182 3681080 4813720 6257836 6484364 7822295 8105455 12515672 12968728 15644590 16210910 21074183 27558547 31289180 32421820 42148366 55117094 62578360 64843640 84296732 105370915 110234188 137792735 168593464 210741830 220468376 275585470 358261111 421483660 551170940 716522222 842967320 1102341880 1433044444 1791305555 2866088888 3582611110 7165222220 14330444440