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4544140240 = 2454310912119
BaseRepresentation
bin1000011101101101…
…00001001111010000
3102201200121020112101
410032312201033100
533301244441430
62030524410144
7220415361163
oct41666411720
912650536471
104544140240
111a22059902
12a699a6954
1357558c9a3
14311719ada
151b8e0bdca
hex10eda13d0

4544140240 has 80 divisors (see below), whose sum is σ = 10910908800. Its totient is φ = 1758951936.

The previous prime is 4544140229. The next prime is 4544140327. The reversal of 4544140240 is 420414454.

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 = 4544140199 and 4544140208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368901 + ... + 381019.

It is an arithmetic number, because the mean of its divisors is an integer number (136386360).

Almost surely, 24544140240 is an apocalyptic number.

4544140240 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 4544140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455454400).

4544140240 is an abundant number, since it is smaller than the sum of its proper divisors (6366768560).

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

4544140240 is a wasteful number, since it uses less digits than its factorization.

4544140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4544140240 is about 67410.2383915085. The cubic root of 4544140240 is about 1656.3441391561.

Adding to 4544140240 its reverse (420414454), we get a palindrome (4964554694).

The spelling of 4544140240 in words is "four billion, five hundred forty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 109 172 215 218 344 430 436 545 688 860 872 1090 1720 1744 2180 3440 4360 4687 8720 9374 12119 18748 23435 24238 37496 46870 48476 60595 74992 93740 96952 121190 187480 193904 242380 374960 484760 521117 969520 1042234 1320971 2084468 2605585 2641942 4168936 5211170 5283884 6604855 8337872 10422340 10567768 13209710 20844680 21135536 26419420 41689360 52838840 56801753 105677680 113603506 227207012 284008765 454414024 568017530 908828048 1136035060 2272070120 4544140240