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14404411232240 = 2451971831608109
BaseRepresentation
bin1101000110011100100111…
…0100001000111111110000
31220000001022012000010210012
43101213021310020333300
53342000213233412430
650345143431154052
73014453511201011
oct321471164107760
956001265003705
1014404411232240
114653970689067
121747808215928
1380643a458983
1437b26a431008
1519ea59bed695
hexd19c9d08ff0

14404411232240 has 160 divisors (see below), whose sum is σ = 36180159321600. Its totient is φ = 5316790993920.

The previous prime is 14404411232173. The next prime is 14404411232273. The reversal of 14404411232240 is 4223211440441.

14404411232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14404411232197 and 14404411232206.

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, 8153306 + ... + 9761414.

It is an arithmetic number, because the mean of its divisors is an integer number (226125995760).

Almost surely, 214404411232240 is an apocalyptic number.

14404411232240 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 14404411232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090079660800).

14404411232240 is an abundant number, since it is smaller than the sum of its proper divisors (21775748089360).

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

14404411232240 is a wasteful number, since it uses less digits than its factorization.

14404411232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608295 (or 1608289 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14404411232240 its reverse (4223211440441), we get a palindrome (18627622672681).

The spelling of 14404411232240 in words is "fourteen trillion, four hundred four billion, four hundred eleven million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 83 95 142 152 166 190 284 304 332 355 380 415 568 664 710 760 830 1136 1328 1349 1420 1520 1577 1660 2698 2840 3154 3320 5396 5680 5893 6308 6640 6745 7885 10792 11786 12616 13490 15770 21584 23572 25232 26980 29465 31540 47144 53960 58930 63080 94288 107920 111967 117860 126160 223934 235720 447868 471440 559835 895736 1119670 1608109 1791472 2239340 3216218 4478680 6432436 8040545 8957360 12864872 16081090 25729744 30554071 32162180 61108142 64324360 114175739 122216284 128648720 133473047 152770355 228351478 244432568 266946094 305540710 456702956 488865136 533892188 570878695 611081420 667365235 913405912 1067784376 1141757390 1222162840 1334730470 1826811824 2135568752 2169339041 2283514780 2444325680 2535987893 2669460940 4338678082 4567029560 5071975786 5338921880 8677356164 9134059120 9476586337 10143951572 10677843760 10846695205 12679939465 17354712328 18953172674 20287903144 21693390410 25359878930 34709424656 37906345348 40575806288 43386780820 47382931685 50719757860 75812690696 86773561640 94765863370 101439515720 151625381392 173547123280 180055140403 189531726740 202879031440 360110280806 379063453480 720220561612 758126906960 900275702015 1440441123224 1800551404030 2880882246448 3601102808060 7202205616120 14404411232240