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4404430231440 = 2435472741142453
BaseRepresentation
bin100000000010111110001…
…1111111101011110010000
3120121001121022112010221220
41000011330133331132100
51034130233114401230
613211211201245040
7633131613153561
oct100057437753620
916531538463856
104404430231440
1114489aa051468
125b1736933780
1325c44a2231a5
14113265a4a168
15798817aed10
hex4017c7fd790

4404430231440 has 160 divisors (see below), whose sum is σ = 13949423894016. Its totient is φ = 1149097605120.

The previous prime is 4404430231427. The next prime is 4404430231459. The reversal of 4404430231440 is 441320344044.

It is a super-2 number, since 2×44044302314402 (a number of 26 digits) contains 22 as substring.

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, 30847254 + ... + 30989706.

Almost surely, 24404430231440 is an apocalyptic number.

4404430231440 is a gapful number since it is divisible by the number (40) 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 4404430231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974711947008).

4404430231440 is an abundant number, since it is smaller than the sum of its proper divisors (9544993662576).

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

4404430231440 is a wasteful number, since it uses less digits than its factorization.

4404430231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145257 (or 145251 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4404430231440 its reverse (441320344044), we get a palindrome (4845750575484).

The spelling of 4404430231440 in words is "four trillion, four hundred four billion, four hundred thirty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2741 2820 3760 5482 5640 8223 10964 11280 13705 16446 21928 27410 32892 41115 43856 54820 65784 82230 109640 128827 131568 142453 164460 219280 257654 284906 328920 386481 427359 515308 569812 644135 657840 712265 772962 854718 1030616 1139624 1288270 1424530 1545924 1709436 1932405 2061232 2136795 2279248 2576540 2849060 3091848 3418872 3864810 4273590 5153080 5698120 6183696 6695291 6837744 7729620 8547180 10306160 11396240 13390582 15459240 17094360 20085873 26781164 30918480 33476455 34188720 40171746 53562328 66952910 80343492 100429365 107124656 133905820 160686984 200858730 267811640 321373968 390463673 401717460 535623280 780927346 803434920 1171391019 1561854692 1606869840 1952318365 2342782038 3123709384 3904636730 4685564076 5856955095 6247418768 7809273460 9371128152 11713910190 15618546920 18351792631 18742256304 23427820380 31237093840 36703585262 46855640760 55055377893 73407170524 91758963155 93711281520 110110755786 146814341048 183517926310 220221511572 275276889465 293628682096 367035852620 440443023144 550553778930 734071705240 880886046288 1101107557860 1468143410480 2202215115720 4404430231440