Search a number
-
+
404012011120 = 2453125255099
BaseRepresentation
bin1011110000100001111…
…11100000111001110000
31102121211021212122121021
411320100333200321300
523104404033323440
6505333415305224
741121536301304
oct5702077407160
91377737778537
10404012011120
1114638227a773
126637297b214
132c1378a6b13
14157a8d61d04
15a798c4284a
hex5e10fe0e70

404012011120 has 60 divisors (see below), whose sum is σ = 970606459800. Its totient is φ = 156391716480.

The previous prime is 404012011087. The next prime is 404012011129. The reversal of 404012011120 is 21110210404.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 404012011094 and 404012011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404012011129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2550670 + ... + 2704429.

It is an arithmetic number, because the mean of its divisors is an integer number (16176774330).

Almost surely, 2404012011120 is an apocalyptic number.

404012011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404012011120 is an abundant number, since it is smaller than the sum of its proper divisors (566594448680).

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

404012011120 is a wasteful number, since it uses less digits than its factorization.

404012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255174 (or 5255137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 404012011120 its reverse (21110210404), we get a palindrome (425122221524).

The spelling of 404012011120 in words is "four hundred four billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4805 7688 9610 15376 19220 38440 76880 5255099 10510198 21020396 26275495 42040792 52550990 84081584 105101980 162908069 210203960 325816138 420407920 651632276 814540345 1303264552 1629080690 2606529104 3258161380 5050150139 6516322760 10100300278 13032645520 20200600556 25250750695 40401201112 50501501390 80802402224 101003002780 202006005560 404012011120