Search a number
-
+
5114433040 = 245293759581
BaseRepresentation
bin1001100001101100…
…00000111000010000
3111012102201010011221
410300312000320100
540433243324130
62203300014424
7240511651333
oct46066007020
914172633157
105114433040
112194a67272
12ba8991414
13636786952
1436736c61a
151ee00c87a
hex130d80e10

5114433040 has 80 divisors (see below), whose sum is σ = 12633767280. Its totient is φ = 1921812480.

The previous prime is 5114433031. The next prime is 5114433047. The reversal of 5114433040 is 403344115.

It can be written as a sum of positive squares in 8 ways, for example, as 411765264 + 4702667776 = 20292^2 + 68576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5114432996 and 5114433014.

It is not an unprimeable number, because it can be changed into a prime (5114433047) 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 15 ways as a sum of consecutive naturals, for example, 56050 + ... + 115630.

It is an arithmetic number, because the mean of its divisors is an integer number (157922091).

Almost surely, 25114433040 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 5114433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316883640).

5114433040 is an abundant number, since it is smaller than the sum of its proper divisors (7519334240).

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

5114433040 is a wasteful number, since it uses less digits than its factorization.

5114433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59660 (or 59654 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5114433040 is about 71515.2643846053. The cubic root of 5114433040 is about 1722.9228561267.

Adding to 5114433040 its reverse (403344115), we get a palindrome (5517777155).

The spelling of 5114433040 in words is "five billion, one hundred fourteen million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 37 40 58 74 80 116 145 148 185 232 290 296 370 464 580 592 740 1073 1160 1480 2146 2320 2960 4292 5365 8584 10730 17168 21460 42920 59581 85840 119162 238324 297905 476648 595810 953296 1191620 1727849 2204497 2383240 3455698 4408994 4766480 6911396 8639245 8817988 11022485 13822792 17278490 17635976 22044970 27645584 34556980 35271952 44089940 63930413 69113960 88179880 127860826 138227920 176359760 255721652 319652065 511443304 639304130 1022886608 1278608260 2557216520 5114433040