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13441300400 = 2452113054841
BaseRepresentation
bin11001000010010100…
…11111011110110000
31021200202011210210202
430201022133132300
5210011433103100
610101433414332
7654042111503
oct144112373660
937622153722
1013441300400
115778299a30
12273156a3a8
1313629439b8
1491720113a
1553a0727d5
hex32129f7b0

13441300400 has 60 divisors (see below), whose sum is σ = 35228437944. Its totient is φ = 4887744000.

The previous prime is 13441300387. The next prime is 13441300421. The reversal of 13441300400 is 400314431.

It is a happy number.

13441300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 1523021 + ... + 1531820.

Almost surely, 213441300400 is an apocalyptic number.

13441300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441300400 is an abundant number, since it is smaller than the sum of its proper divisors (21787137544).

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

13441300400 is a wasteful number, since it uses less digits than its factorization.

13441300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054870 (or 3054859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13441300400 its reverse (400314431), we get a palindrome (13841614831).

The spelling of 13441300400 in words is "thirteen billion, four hundred forty-one million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 3054841 6109682 12219364 15274205 24438728 30548410 33603251 48877456 61096820 67206502 76371025 122193640 134413004 152742050 168016255 244387280 268826008 305484100 336032510 537652016 610968200 672065020 840081275 1221936400 1344130040 1680162550 2688260080 3360325100 6720650200 13441300400