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14440223440 = 2451973181719
BaseRepresentation
bin11010111001011010…
…00101001011010000
31101021100211100121101
431130231011023100
5214033144122230
610344520034144
71020561605536
oct153455051320
941240740541
1014440223440
116140147665
122970002954
131491894916
149adb4c156
15597adeaca
hex35cb452d0

14440223440 has 160 divisors (see below), whose sum is σ = 36072691200. Its totient is φ = 5359841280.

The previous prime is 14440223417. The next prime is 14440223449. The reversal of 14440223440 is 4432204441.

It is a junction number, because it is equal to n+sod(n) for n = 14440223399 and 14440223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440223449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20083401 + ... + 20084119.

It is an arithmetic number, because the mean of its divisors is an integer number (225454320).

Almost surely, 214440223440 is an apocalyptic number.

14440223440 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 14440223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036345600).

14440223440 is an abundant number, since it is smaller than the sum of its proper divisors (21632467760).

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

14440223440 is a wasteful number, since it uses less digits than its factorization.

14440223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14440223440 its reverse (4432204441), we get a palindrome (18872427881).

The spelling of 14440223440 in words is "fourteen billion, four hundred forty million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 146 152 181 190 292 304 362 365 380 584 719 724 730 760 905 1168 1387 1438 1448 1460 1520 1810 2774 2876 2896 2920 3439 3595 3620 5548 5752 5840 6878 6935 7190 7240 11096 11504 13213 13661 13756 13870 14380 14480 17195 22192 26426 27322 27512 27740 28760 34390 52487 52852 54644 55024 55480 57520 66065 68305 68780 104974 105704 109288 110960 130139 132130 136610 137560 209948 211408 218576 251047 260278 262435 264260 273220 275120 419896 502094 520556 524870 528520 546440 650695 839792 997253 1004188 1041112 1049740 1057040 1092880 1255235 1301390 1994506 2008376 2082224 2099480 2472641 2510470 2602780 3989012 4016752 4198960 4945282 4986265 5020940 5205560 7978024 9500147 9890564 9972530 10041880 10411120 12363205 15956048 19000294 19781128 19945060 20083760 24726410 38000588 39562256 39890120 47500735 49452820 76001176 79780240 95001470 98905640 152002352 180502793 190002940 197811280 361005586 380005880 722011172 760011760 902513965 1444022344 1805027930 2888044688 3610055860 7220111720 14440223440