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13441400240 = 245292199783
BaseRepresentation
bin11001000010010101…
…10111110110110000
31021200202100212202112
430201022313312300
5210011444301430
610101435504452
7654043005542
oct144112676660
937622325675
1013441400240
115778357a44
1227315b8128
13136297a288
14917229692
1553a092195
hex3212b7db0

13441400240 has 60 divisors (see below), whose sum is σ = 32366206704. Its totient is φ = 5191135488.

The previous prime is 13441400221. The next prime is 13441400249. The reversal of 13441400240 is 4200414431.

It is a happy number.

13441400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13441400249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32612 + ... + 167171.

Almost surely, 213441400240 is an apocalyptic number.

13441400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441400240 is an abundant number, since it is smaller than the sum of its proper divisors (18924806464).

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

13441400240 is a wasteful number, since it uses less digits than its factorization.

13441400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199854 (or 199819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13441400240 its reverse (4200414431), we get a palindrome (17641814671).

The spelling of 13441400240 in words is "thirteen billion, four hundred forty-one million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 841 1160 1682 2320 3364 4205 6728 8410 13456 16820 33640 67280 199783 399566 799132 998915 1598264 1997830 3196528 3995660 5793707 7991320 11587414 15982640 23174828 28968535 46349656 57937070 92699312 115874140 168017503 231748280 336035006 463496560 672070012 840087515 1344140024 1680175030 2688280048 3360350060 6720700120 13441400240