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242143440 = 243571113103
BaseRepresentation
bin11100110111011…
…01000011010000
3121212122011100120
432123231003100
5443442042230
640005550240
76000120360
oct1633550320
9555564316
10242143440
11114757a50
1269115380
133b221656
14242329a0
15163d1310
hexe6ed0d0

242143440 has 160 divisors (see below), whose sum is σ = 935940096. Its totient is φ = 50311680.

The previous prime is 242143411. The next prime is 242143459. The reversal of 242143440 is 44341242.

It is a happy number.

242143440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242143440.

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, 11929 + ... + 25031.

Almost surely, 2242143440 is an apocalyptic number.

242143440 is a gapful number since it is divisible by the number (20) 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 242143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

242143440 is an abundant number, since it is smaller than the sum of its proper divisors (693796656).

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

242143440 is a wasteful number, since it uses less digits than its factorization.

242143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 242143440 is about 15560.9588393518. The cubic root of 242143440 is about 623.2910670023.

Adding to 242143440 its reverse (44341242), we get a palindrome (286484682).

The spelling of 242143440 in words is "two hundred forty-two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 13103 18480 26206 39309 52412 65515 78618 91721 104824 131030 144133 157236 183442 196545 209648 262060 275163 288266 314472 366884 393090 432399 458605 524120 550326 576532 628944 720665 733768 786180 864798 917210 1008931 1048240 1100652 1153064 1375815 1441330 1467536 1572360 1729596 1834420 2017862 2161995 2201304 2306128 2751630 2882660 3026793 3144720 3459192 3668840 4035724 4323990 4402608 5044655 5503260 5765320 6053586 6918384 7337680 8071448 8647980 10089310 11006520 11530640 12107172 15133965 16142896 17295960 20178620 22013040 24214344 30267930 34591920 40357240 48428688 60535860 80714480 121071720 242143440