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4443146040 = 233559837561
BaseRepresentation
bin1000010001101010…
…10000011100111000
3102110122120012112110
410020311100130320
533044421133130
62012520012320
7215051055354
oct41065203470
912418505473
104443146040
111980049423
12a400010a0
1355a68b7c8
1430214a464
151b010cab0
hex108d50738

4443146040 has 128 divisors (see below), whose sum is σ = 13720492800. Its totient is φ = 1150571520.

The previous prime is 4443146039. The next prime is 4443146047. The reversal of 4443146040 is 406413444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4443145989 and 4443146007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443146047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583860 + ... + 591420.

It is an arithmetic number, because the mean of its divisors is an integer number (107191350).

Almost surely, 24443146040 is an apocalyptic number.

4443146040 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 4443146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860246400).

4443146040 is an abundant number, since it is smaller than the sum of its proper divisors (9277346760).

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

4443146040 is a wasteful number, since it uses less digits than its factorization.

4443146040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4443146040 is about 66656.9279220097. The cubic root of 4443146040 is about 1643.9812602573.

Adding to 4443146040 its reverse (406413444), we get a palindrome (4849559484).

The spelling of 4443146040 in words is "four billion, four hundred forty-three million, one hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 83 118 120 166 177 236 249 295 332 354 415 472 498 590 664 708 830 885 996 1180 1245 1416 1660 1770 1992 2360 2490 3320 3540 4897 4980 7080 7561 9794 9960 14691 15122 19588 22683 24485 29382 30244 37805 39176 45366 48970 58764 60488 73455 75610 90732 97940 113415 117528 146910 151220 181464 195880 226830 293820 302440 446099 453660 587640 627563 892198 907320 1255126 1338297 1784396 1882689 2230495 2510252 2676594 3137815 3568792 3765378 4460990 5020504 5353188 6275630 6691485 7530756 8921980 9413445 10706376 12551260 13382970 15061512 17843960 18826890 25102520 26765940 37026217 37653780 53531880 74052434 75307560 111078651 148104868 185131085 222157302 296209736 370262170 444314604 555393255 740524340 888629208 1110786510 1481048680 2221573020 4443146040