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14432223440 = 24517671491063
BaseRepresentation
bin11010111000011101…
…00100000011010000
31101020210202220200002
431130032210003100
5214024122122230
610344032345132
71020433606115
oct153416440320
941223686602
1014432223440
116136683098
1229693a51a8
1314900234ab
149aca6890c
1559705e545
hex35c3a40d0

14432223440 has 160 divisors (see below), whose sum is σ = 36335174400. Its totient is φ = 5311291392.

The previous prime is 14432223413. The next prime is 14432223469. The reversal of 14432223440 is 4432223441.

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, 13576349 + ... + 13577411.

It is an arithmetic number, because the mean of its divisors is an integer number (227094840).

Almost surely, 214432223440 is an apocalyptic number.

14432223440 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 14432223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167587200).

14432223440 is an abundant number, since it is smaller than the sum of its proper divisors (21902950960).

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

14432223440 is a wasteful number, since it uses less digits than its factorization.

14432223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14432223440 its reverse (4432223441), we get a palindrome (18864446881).

Subtracting from 14432223440 its reverse (4432223441), we obtain a palindrome (9999999999).

The spelling of 14432223440 in words is "fourteen billion, four hundred thirty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 149 170 268 272 298 335 340 536 596 670 680 745 1063 1072 1139 1192 1340 1360 1490 2126 2278 2384 2533 2680 2980 4252 4556 5066 5315 5360 5695 5960 8504 9112 9983 10132 10630 11390 11920 12665 17008 18071 18224 19966 20264 21260 22780 25330 36142 39932 40528 42520 45560 49915 50660 71221 72284 79864 85040 90355 91120 99830 101320 142442 144568 158387 159728 169711 180710 199660 202640 284884 289136 316774 339422 356105 361420 399320 569768 633548 678844 712210 722840 791935 798640 848555 1139536 1210757 1267096 1357688 1424420 1445680 1583870 1697110 2421514 2534192 2692579 2715376 2848840 3167740 3394220 4843028 5385158 5697680 6053785 6335480 6788440 9686056 10611929 10770316 12107570 12670960 13462895 13576880 19372112 21223858 21540632 24215140 26925790 42447716 43081264 48430280 53059645 53851580 84895432 96860560 106119290 107703160 169790864 180402793 212238580 215406320 360805586 424477160 721611172 848954320 902013965 1443222344 1804027930 2886444688 3608055860 7216111720 14432223440