Search a number
-
+
404400224332420 = 225591230592784941
BaseRepresentation
bin101101111110011001100001…
…1101101111110101010000100
31222000212021122221122110021221
41123330303003231332222010
5411001143124412114140
63552030522013250124
7151115644356426031
oct13374630355765204
91860767587573257
10404400224332420
11107944198a41958
1239433580a93944
1314485a152ab1a4
1471c110a864388
1531b45a054614a
hex16fccc3b7ea84

404400224332420 has 48 divisors (see below), whose sum is σ = 863641705550400. Its totient is φ = 159017043985280.

The previous prime is 404400224332331. The next prime is 404400224332459. The reversal of 404400224332420 is 24233422004404.

It is a super-2 number, since 2×4044002243324202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143817150 + ... + 146602090.

It is an arithmetic number, because the mean of its divisors is an integer number (17992535532300).

Almost surely, 2404400224332420 is an apocalyptic number.

It is an amenable number.

404400224332420 is an abundant number, since it is smaller than the sum of its proper divisors (459241481217980).

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

404400224332420 is a wasteful number, since it uses less digits than its factorization.

404400224332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908068 (or 2908066 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 404400224332420 its reverse (24233422004404), we get a palindrome (428633646336824).

The spelling of 404400224332420 in words is "four hundred four trillion, four hundred billion, two hundred twenty-four million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1180 123059 246118 492236 615295 1230590 2461180 2784941 5569882 7260481 11139764 13924705 14520962 27849410 29041924 36302405 55698820 72604810 145209620 164311519 328623038 657246076 821557595 1643115190 3286230380 342712054519 685424109038 1370848218076 1713560272595 3427120545190 6854241090380 20220011216621 40440022433242 80880044866484 101100056083105 202200112166210 404400224332420