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4023224040 = 2335116745491
BaseRepresentation
bin1110111111001101…
…1000011011101000
3101101101101221211210
43233303120123220
531214421132130
61503115353120
7201461561103
oct35763303350
911341357753
104023224040
111785006850
129434527a0
134c1693454
142a247b73a
151883115b0
hexefcd86e8

4023224040 has 128 divisors (see below), whose sum is σ = 13363729920. Its totient is φ = 960748800.

The previous prime is 4023224039. The next prime is 4023224041. The reversal of 4023224040 is 404223204.

It is an interprime number because it is at equal distance from previous prime (4023224039) and next prime (4023224041).

It is a junction number, because it is equal to n+sod(n) for n = 4023223998 and 4023224016.

It is not an unprimeable number, because it can be changed into a prime (4023224041) 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 31 ways as a sum of consecutive naturals, for example, 65695 + ... + 111185.

It is an arithmetic number, because the mean of its divisors is an integer number (104404140).

Almost surely, 24023224040 is an apocalyptic number.

4023224040 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 4023224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681864960).

4023224040 is an abundant number, since it is smaller than the sum of its proper divisors (9340505880).

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

4023224040 is a wasteful number, since it uses less digits than its factorization.

4023224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45583 (or 45579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4023224040 is about 63428.8896324065. The cubic root of 4023224040 is about 1590.4672808778.

Adding to 4023224040 its reverse (404223204), we get a palindrome (4427447244).

The spelling of 4023224040 in words is "four billion, twenty-three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 29480 44220 45491 88440 90982 136473 181964 227455 272946 363928 454910 500401 545892 682365 909820 1000802 1091784 1364730 1501203 1819640 2001604 2502005 2729460 3002406 3047897 4003208 5004010 5458920 6004812 6095794 7506015 9143691 10008020 12009624 12191588 15012030 15239485 18287382 20016040 24383176 30024060 30478970 33526867 36574764 45718455 60048120 60957940 67053734 73149528 91436910 100580601 121915880 134107468 167634335 182873820 201161202 268214936 335268670 365747640 402322404 502903005 670537340 804644808 1005806010 1341074680 2011612020 4023224040