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404520125431144 = 23101831760195229
BaseRepresentation
bin101101111111010001010111…
…0011000010111110101101000
31222001021202011001201100202011
41123332202232120113311220
5411010124204102244034
63552201551414045304
7151130420545103362
oct13376425630276550
91861252131640664
10404520125431144
11107990026a95a88
1239452863649834
1314494112b47b98
1471c6c429c3d32
1531b776b9b2864
hex16fe8ae617d68

404520125431144 has 32 divisors (see below), whose sum is σ = 766077002404200. Its totient is φ = 200233406419200.

The previous prime is 404520125431141. The next prime is 404520125431153. The reversal of 404520125431144 is 441134521025404.

It can be written as a sum of positive squares in 4 ways, for example, as 365561780908900 + 38958344522244 = 19119670^2 + 6241662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404520125431097 and 404520125431106.

It is not an unprimeable number, because it can be changed into a prime (404520125431141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23377479 + ... + 36817750.

Almost surely, 2404520125431144 is an apocalyptic number.

It is an amenable number.

404520125431144 is a deficient number, since it is larger than the sum of its proper divisors (361556876973056).

404520125431144 is a wasteful number, since it uses less digits than its factorization.

404520125431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60203653 (or 60203649 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 404520125431144 its reverse (441134521025404), we get a palindrome (845654646456548).

The spelling of 404520125431144 in words is "four hundred four trillion, five hundred twenty billion, one hundred twenty-five million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 101 202 404 808 8317 16634 33268 66536 840017 1680034 3360068 6720136 60195229 120390458 240780916 481561832 6079718129 12159436258 24318872516 48637745032 500643719593 1001287439186 2002574878372 4005149756744 50565015678893 101130031357786 202260062715572 404520125431144