Search a number
-
+
4143335680 = 285111032857
BaseRepresentation
bin1111011011110110…
…0100100100000000
3101200202102021001001
43312331210210000
531441143220210
61523050021344
7204450525601
oct36675444400
911622367031
104143335680
111836894470
12977717854
13510529123
142b43c5da8
15193b3a03a
hexf6f64900

4143335680 has 144 divisors (see below), whose sum is σ = 10935759744. Its totient is φ = 1491517440.

The previous prime is 4143335671. The next prime is 4143335689. The reversal of 4143335680 is 865333414.

It is an interprime number because it is at equal distance from previous prime (4143335671) and next prime (4143335689).

It is a super-2 number, since 2×41433356802 = 34334461114322124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4143335689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448812 + ... + 1451668.

It is an arithmetic number, because the mean of its divisors is an integer number (75942776).

Almost surely, 24143335680 is an apocalyptic number.

4143335680 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 4143335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467879872).

4143335680 is an abundant number, since it is smaller than the sum of its proper divisors (6792424064).

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

4143335680 is a wasteful number, since it uses less digits than its factorization.

4143335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 4143335680 is about 64368.7476963782. The cubic root of 4143335680 is about 1606.1399083150.

The spelling of 4143335680 in words is "four billion, one hundred forty-three million, three hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 103 110 128 160 176 206 220 256 320 352 412 440 515 640 704 824 880 1030 1133 1280 1408 1648 1760 2060 2266 2816 2857 3296 3520 4120 4532 5665 5714 6592 7040 8240 9064 11330 11428 13184 14080 14285 16480 18128 22660 22856 26368 28570 31427 32960 36256 45320 45712 57140 62854 65920 72512 90640 91424 114280 125708 131840 145024 157135 181280 182848 228560 251416 290048 294271 314270 362560 365696 457120 502832 588542 628540 725120 731392 914240 1005664 1177084 1257080 1450240 1471355 1828480 2011328 2354168 2514160 2942710 3236981 3656960 4022656 4708336 5028320 5885420 6473962 8045312 9416672 10056640 11770840 12947924 16184905 18833344 20113280 23541680 25895848 32369810 37666688 40226560 47083360 51791696 64739620 75333376 94166720 103583392 129479240 188333440 207166784 258958480 376666880 414333568 517916960 828667136 1035833920 2071667840 4143335680