Search a number
-
+
2413151440 = 24574309199
BaseRepresentation
bin1000111111010101…
…1100010011010000
320020011202210110021
42033311130103100
514420231321230
61035242113224
7113541306640
oct21765342320
96204683407
102413151440
111029185437
125741ab814
132c5c41a7b
1418c6c4520
15e1cc2c7a
hex8fd5c4d0

2413151440 has 40 divisors (see below), whose sum is σ = 6412089600. Its totient is φ = 827366016.

The previous prime is 2413151413. The next prime is 2413151441. The reversal of 2413151440 is 441513142.

2413151440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413151441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154040 + ... + 2155159.

It is an arithmetic number, because the mean of its divisors is an integer number (160302240).

Almost surely, 22413151440 is an apocalyptic number.

2413151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413151440 is an abundant number, since it is smaller than the sum of its proper divisors (3998938160).

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

2413151440 is a wasteful number, since it uses less digits than its factorization.

2413151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309219 (or 4309213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2413151440 is about 49123.8377979571. The cubic root of 2413151440 is about 1341.3070042626.

Adding to 2413151440 its reverse (441513142), we get a palindrome (2854664582).

The spelling of 2413151440 in words is "two billion, four hundred thirteen million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4309199 8618398 17236796 21545995 30164393 34473592 43091990 60328786 68947184 86183980 120657572 150821965 172367960 241315144 301643930 344735920 482630288 603287860 1206575720 2413151440