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4024423040 = 27511599689
BaseRepresentation
bin1110111111011111…
…1101001010000000
3101101110122212120012
43233313331022000
531220223014130
61503201204052
7201505013531
oct35767751200
911343585505
104024423040
111785755660
12943930628
134c19c3111
142a26b0688
1518849b995
hexefdfd280

4024423040 has 128 divisors (see below), whose sum is σ = 10674504000. Its totient is φ = 1438474240.

The previous prime is 4024423033. The next prime is 4024423049. The reversal of 4024423040 is 403244204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4024422997 and 4024423015.

It is not an unprimeable number, because it can be changed into a prime (4024423049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410516 + ... + 420204.

Almost surely, 24024423040 is an apocalyptic number.

4024423040 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 4024423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337252000).

4024423040 is an abundant number, since it is smaller than the sum of its proper divisors (6650080960).

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

4024423040 is a wasteful number, since it uses less digits than its factorization.

4024423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4024423040 is about 63438.3404574867. The cubic root of 4024423040 is about 1590.6252620428.

Adding to 4024423040 its reverse (403244204), we get a palindrome (4427667244).

The spelling of 4024423040 in words is "four billion, twenty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 128 160 176 220 236 295 320 352 440 472 590 640 649 704 880 944 1180 1298 1408 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 7040 7552 9440 9689 10384 12980 18880 19378 20768 25960 37760 38756 41536 48445 51920 77512 83072 96890 103840 106579 155024 193780 207680 213158 310048 387560 415360 426316 532895 571651 620096 775120 852632 1065790 1143302 1240192 1550240 1705264 2131580 2286604 2858255 3100480 3410528 4263160 4573208 5716510 6200960 6288161 6821056 8526320 9146416 11433020 12576322 13642112 17052640 18292832 22866040 25152644 31440805 34105280 36585664 45732080 50305288 62881610 68210560 73171328 91464160 100610576 125763220 182928320 201221152 251526440 365856640 402442304 503052880 804884608 1006105760 2012211520 4024423040