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214101104400 = 24325259472529
BaseRepresentation
bin1100011101100101101…
…0111001011100010000
3202110122002000000020100
43013121122321130100
512001434340320100
6242205013412400
721316424234361
oct3073132713420
9673562000210
10214101104400
1182888545697
12355b203a100
131726086a431
14a510b95b68
1558813c9400
hex31d96b9710

214101104400 has 90 divisors (see below), whose sum is σ = 742990317290. Its totient is φ = 57093626880.

The previous prime is 214101104381. The next prime is 214101104417. The reversal of 214101104400 is 4401101412.

214101104400 is a `hidden beast` number, since 214 + 1 + 0 + 1 + 10 + 440 + 0 = 666.

214101104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 29926232064 + 184174872336 = 172992^2 + 429156^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 29732665 + ... + 29739864.

Almost surely, 2214101104400 is an apocalyptic number.

214101104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101104400 is an abundant number, since it is smaller than the sum of its proper divisors (528889212890).

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

214101104400 is a wasteful number, since it uses less digits than its factorization.

214101104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59472553 (or 59472539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 214101104400 its reverse (4401101412), we get a palindrome (218502205812).

The spelling of 214101104400 in words is "two hundred fourteen billion, one hundred one million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 59472529 118945058 178417587 237890116 297362645 356835174 475780232 535252761 594725290 713670348 892087935 951560464 1070505522 1189450580 1427340696 1486813225 1784175870 2141011044 2378901160 2676263805 2854681392 2973626450 3568351740 4282022088 4460439675 4757802320 5352527610 5947252900 7136703480 8564044176 8920879350 10705055220 11894505800 13381319025 14273406960 17841758700 21410110440 23789011600 26762638050 35683517400 42820220880 53525276100 71367034800 107050552200 214101104400