[go: up one dir, main page]

Search a number
-
+
4440025140 = 22354715110427
BaseRepresentation
bin1000010001010010…
…10110100000110100
3102110102200122110120
410020221112200310
533043121301030
62012325051540
7215012406465
oct41051264064
912412618416
104440025140
111979307671
12a3ab56bb0
13559b38115
14301976d6c
151aebe3010
hex108a56834

4440025140 has 96 divisors (see below), whose sum is σ = 12781891584. Its totient is φ = 1151030400.

The previous prime is 4440025097. The next prime is 4440025141. The reversal of 4440025140 is 415200444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4440025140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440025141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420607 + ... + 431033.

It is an arithmetic number, because the mean of its divisors is an integer number (133144704).

Almost surely, 24440025140 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 4440025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390945792).

4440025140 is an abundant number, since it is smaller than the sum of its proper divisors (8341866444).

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

4440025140 is a wasteful number, since it uses less digits than its factorization.

4440025140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4440025140 is about 66633.5136399095. The cubic root of 4440025140 is about 1643.5962550665.

Adding to 4440025140 its reverse (415200444), we get a palindrome (4855225584).

The spelling of 4440025140 in words is "four billion, four hundred forty million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 151 188 235 282 302 453 470 564 604 705 755 906 940 1410 1510 1812 2265 2820 3020 4530 7097 9060 10427 14194 20854 21291 28388 31281 35485 41708 42582 52135 62562 70970 85164 104270 106455 125124 141940 156405 208540 212910 312810 425820 490069 625620 980138 1470207 1574477 1960276 2450345 2940414 3148954 4723431 4900690 5880828 6297908 7351035 7872385 9446862 9801380 14702070 15744770 18893724 23617155 29404140 31489540 47234310 74000419 94468620 148000838 222001257 296001676 370002095 444002514 740004190 888005028 1110006285 1480008380 2220012570 4440025140