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4212401200 = 245271504429
BaseRepresentation
bin1111101100010100…
…0010010000110000
3101212120101011010021
43323011002100300
532111333314300
61533554213224
7206246551030
oct37305022060
911776334107
104212401200
111871877407
12996884214
1352192b4b7
142bd6438c0
15199c2dd1a
hexfb142430

4212401200 has 60 divisors (see below), whose sum is σ = 11566057840. Its totient is φ = 1444250880.

The previous prime is 4212401173. The next prime is 4212401267. The reversal of 4212401200 is 21042124.

It is a super-2 number, since 2×42124012002 = 35488647739522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749415 + ... + 755014.

Almost surely, 24212401200 is an apocalyptic number.

4212401200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212401200 is an abundant number, since it is smaller than the sum of its proper divisors (7353656640).

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

4212401200 is a wasteful number, since it uses less digits than its factorization.

4212401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504454 (or 1504443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4212401200 is about 64903.0137975117. The cubic root of 4212401200 is about 1615.0150579930.

Adding to 4212401200 its reverse (21042124), we get a palindrome (4233443324).

The spelling of 4212401200 in words is "four billion, two hundred twelve million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 1504429 3008858 6017716 7522145 10531003 12035432 15044290 21062006 24070864 30088580 37610725 42124012 52655015 60177160 75221450 84248024 105310030 120354320 150442900 168496048 210620060 263275075 300885800 421240120 526550150 601771600 842480240 1053100300 2106200600 4212401200