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4214400404 = 222694678387
BaseRepresentation
bin1111101100110010…
…1010010110010100
3101212201010201111212
43323030222112110
532112341303104
61534105120552
7206302545434
oct37314522624
911781121455
104214400404
111872a12445
12997489158
1352217b466
142bda042c4
15199ec636e
hexfb32a594

4214400404 has 24 divisors (see below), whose sum is σ = 7419353760. Its totient is φ = 2094621536.

The previous prime is 4214400401. The next prime is 4214400409. The reversal of 4214400404 is 4040044124.

It is a super-2 number, since 2×42144004042 = 35522341530470726432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4214400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214400401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 498299 + ... + 506685.

It is an arithmetic number, because the mean of its divisors is an integer number (309139740).

Almost surely, 24214400404 is an apocalyptic number.

It is an amenable number.

4214400404 is a deficient number, since it is larger than the sum of its proper divisors (3204953356).

4214400404 is a wasteful number, since it uses less digits than its factorization.

4214400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9125 counting only the distinct ones).

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

The square root of 4214400404 is about 64918.4134433367. The cubic root of 4214400404 is about 1615.2705127608.

Adding to 4214400404 its reverse (4040044124), we get a palindrome (8254444528).

The spelling of 4214400404 in words is "four billion, two hundred fourteen million, four hundred thousand, four hundred four".

Divisors: 1 2 4 269 467 538 934 1076 1868 8387 16774 33548 125623 251246 502492 2256103 3916729 4512206 7833458 9024412 15666916 1053600101 2107200202 4214400404