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4241404400 = 245210603511
BaseRepresentation
bin1111110011001110…
…1011000111110000
3101221120221200000212
43330303223013300
532141244420100
61540512003252
7210051225332
oct37463530760
911846850025
104241404400
1118871869a2
129a4530528
1352794485c
142c3433452
1519c55c635
hexfcceb1f0

4241404400 has 30 divisors (see below), whose sum is σ = 10189975032. Its totient is φ = 1696561600.

The previous prime is 4241404397. The next prime is 4241404451. The reversal of 4241404400 is 44041424.

It is a super-2 number, since 2×42414044002 = 35979022568678720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5301356 + ... + 5302155.

Almost surely, 24241404400 is an apocalyptic number.

4241404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241404400 is an abundant number, since it is smaller than the sum of its proper divisors (5948570632).

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

4241404400 is a wasteful number, since it uses less digits than its factorization.

4241404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603529 (or 10603518 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4241404400 is about 65126.0654423404. The cubic root of 4241404400 is about 1618.7131476432.

Adding to 4241404400 its reverse (44041424), we get a palindrome (4285445824).

The spelling of 4241404400 in words is "four billion, two hundred forty-one million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10603511 21207022 42414044 53017555 84828088 106035110 169656176 212070220 265087775 424140440 530175550 848280880 1060351100 2120702200 4241404400