Search a number
-
+
5446140040 = 2351147389677
BaseRepresentation
bin1010001001001110…
…11000000010001000
3112001112212120122101
411010213120002020
542123202440130
62300225403144
7251650266205
oct50447300210
915045776571
105446140040
112345227690
12107ba994b4
1368a406693
14399436cac
1521d1d11ca
hex1449d8088

5446140040 has 128 divisors (see below), whose sum is σ = 13707532800. Its totient is φ = 1930439680.

The previous prime is 5446139971. The next prime is 5446140041. The reversal of 5446140040 is 400416445.

It is a junction number, because it is equal to n+sod(n) for n = 5446139990 and 5446140008.

It is not an unprimeable number, because it can be changed into a prime (5446140041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8044182 + ... + 8044858.

It is an arithmetic number, because the mean of its divisors is an integer number (107090100).

Almost surely, 25446140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853766400).

5446140040 is an abundant number, since it is smaller than the sum of its proper divisors (8261392760).

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

5446140040 is a wasteful number, since it uses less digits than its factorization.

5446140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5446140040 is about 73797.9677226955. The cubic root of 5446140040 is about 1759.3933041453.

Adding to 5446140040 its reverse (400416445), we get a palindrome (5846556485).

The spelling of 5446140040 in words is "five billion, four hundred forty-six million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 389 440 470 517 677 778 940 1034 1354 1556 1880 1945 2068 2585 2708 3112 3385 3890 4136 4279 5170 5416 6770 7447 7780 8558 10340 13540 14894 15560 17116 18283 20680 21395 27080 29788 31819 34232 36566 37235 42790 59576 63638 73132 74470 85580 91415 127276 146264 148940 159095 171160 182830 201113 254552 263353 297880 318190 350009 365660 402226 526706 636380 700018 731320 804452 1005565 1053412 1272760 1316765 1400036 1608904 1750045 2011130 2106824 2633530 2800072 2896883 3500090 4022260 5267060 5793766 7000180 8044520 10534120 11587532 12377591 14000360 14484415 23175064 24755182 28968830 49510364 57937660 61887955 99020728 115875320 123775910 136153501 247551820 272307002 495103640 544614004 680767505 1089228008 1361535010 2723070020 5446140040