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4240243440 = 2432515737511
BaseRepresentation
bin1111110010111100…
…1111101011110000
3101221111202200111100
43330233033223300
532141000242230
61540431044400
7210035321526
oct37457175360
911844680440
104240243440
111886563724
129a4070700
135276292b4
142c3210316
1519c3cd660
hexfcbcfaf0

4240243440 has 120 divisors (see below), whose sum is σ = 14331234528. Its totient is φ = 1123499520.

The previous prime is 4240243421. The next prime is 4240243451. The reversal of 4240243440 is 443420424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94285 + ... + 131795.

Almost surely, 24240243440 is an apocalyptic number.

4240243440 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 4240243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165617264).

4240243440 is an abundant number, since it is smaller than the sum of its proper divisors (10090991088).

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

4240243440 is a wasteful number, since it uses less digits than its factorization.

4240243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37687 (or 37678 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4240243440 is about 65117.1516576086. The cubic root of 4240243440 is about 1618.5654424235.

Adding to 4240243440 its reverse (443420424), we get a palindrome (4683663864).

The spelling of 4240243440 in words is "four billion, two hundred forty million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 14130 18840 22608 28260 37511 37680 56520 75022 112533 113040 150044 187555 225066 300088 337599 375110 450132 562665 600176 675198 750220 900264 1125330 1350396 1500440 1687995 1800528 2250660 2700792 3000880 3375990 4501320 5401584 5889227 6751980 9002640 11778454 13503960 17667681 23556908 27007920 29446135 35335362 47113816 53003043 58892270 70670724 88338405 94227632 106006086 117784540 141341448 176676810 212012172 235569080 265015215 282682896 353353620 424024344 471138160 530030430 706707240 848048688 1060060860 1413414480 2120121720 4240243440