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4224442040 = 2357131497789
BaseRepresentation
bin1111101111001011…
…1101111010111000
3101220102000220001022
43323302331322320
532122424121130
61535104242012
7206454110360
oct37362757270
911812026038
104224442040
111878650915
1299a910308
13524285c60
142c10999a0
1519ad0b7e5
hexfbcbdeb8

4224442040 has 128 divisors (see below), whose sum is σ = 11778480000. Its totient is φ = 1327822848.

The previous prime is 4224442003. The next prime is 4224442043. The reversal of 4224442040 is 402444224.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224442043) 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, 538466 + ... + 546254.

It is an arithmetic number, because the mean of its divisors is an integer number (92019375).

Almost surely, 24224442040 is an apocalyptic number.

4224442040 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 4224442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889240000).

4224442040 is an abundant number, since it is smaller than the sum of its proper divisors (7554037960).

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

4224442040 is a wasteful number, since it uses less digits than its factorization.

4224442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4224442040 is about 64995.7078582886. The cubic root of 4224442040 is about 1616.5523948470.

Adding to 4224442040 its reverse (402444224), we get a palindrome (4626886264).

The spelling of 4224442040 in words is "four billion, two hundred twenty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 149 182 260 280 298 364 455 520 596 728 745 910 1043 1192 1490 1820 1937 2086 2980 3640 3874 4172 5215 5960 7748 7789 8344 9685 10430 13559 15496 15578 19370 20860 27118 31156 38740 38945 41720 54236 54523 62312 67795 77480 77890 101257 108472 109046 135590 155780 202514 218092 271180 272615 311560 405028 436184 506285 542360 545230 708799 810056 1012570 1090460 1160561 1417598 2025140 2180920 2321122 2835196 3543995 4050280 4642244 5670392 5802805 7087990 8123927 9284488 11605610 14175980 15087293 16247854 23211220 28351960 30174586 32495708 40619635 46422440 60349172 64991416 75436465 81239270 105611051 120698344 150872930 162478540 211222102 301745860 324957080 422444204 528055255 603491720 844888408 1056110510 2112221020 4224442040