Search a number
-
+
404300003145040 = 24510141498348293
BaseRepresentation
bin101101111101101010110111…
…0000100011111010101010000
31222000111200222100210122000001
41123323111232010133111100
5410443022401301120130
63551512505105335344
7151105465655410252
oct13373255604372520
91860450870718001
10404300003145040
11107905739772472
1239418071037554
1314479432a06752
1471ba3202a7cd2
1531b1b86bb96ca
hex16fb56e11f550

404300003145040 has 40 divisors (see below), whose sum is σ = 940090201981128. Its totient is φ = 161704053788160.

The previous prime is 404300003145001. The next prime is 404300003145067. The reversal of 404300003145040 is 40541300003404.

It can be written as a sum of positive squares in 4 ways, for example, as 12861375548176 + 391438627596864 = 3586276^2 + 19784808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248362867 + ... + 249985426.

Almost surely, 2404300003145040 is an apocalyptic number.

404300003145040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404300003145040 is an abundant number, since it is smaller than the sum of its proper divisors (535790198836088).

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

404300003145040 is a wasteful number, since it uses less digits than its factorization.

404300003145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498358447 (or 498358441 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 404300003145040 its reverse (40541300003404), we get a palindrome (444841303148444).

The spelling of 404300003145040 in words is "four hundred four trillion, three hundred billion, three million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10141 20282 40564 50705 81128 101410 162256 202820 405640 811280 498348293 996696586 1993393172 2491741465 3986786344 4983482930 7973572688 9966965860 19933931720 39867863440 5053750039313 10107500078626 20215000157252 25268750196565 40430000314504 50537500393130 80860000629008 101075000786260 202150001572520 404300003145040