Search a number
-
+
404041431114012 = 223587566331012831
BaseRepresentation
bin101101111011110010011100…
…1111110011110000100011100
31221222120222120000220110221010
41123313210321332132010130
5410424303322331122022
63551154023201335220
7151051013214410346
oct13367447176360434
91858528500813833
10404041431114012
1110781601058645a
1239395b29937510
131445ac35a4c563
1471ab9d1246296
1531aa0a155e50c
hex16f7939f9e11c

404041431114012 has 48 divisors (see below), whose sum is σ = 944387017362432. Its totient is φ = 134448531584640.

The previous prime is 404041431113989. The next prime is 404041431114031. The reversal of 404041431114012 is 210411134140404.

It is a super-2 number, since 2×4040414311140122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398416437 + ... + 399429267.

It is an arithmetic number, because the mean of its divisors is an integer number (19674729528384).

Almost surely, 2404041431114012 is an apocalyptic number.

It is an amenable number.

404041431114012 is an abundant number, since it is smaller than the sum of its proper divisors (540345586248420).

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

404041431114012 is a wasteful number, since it uses less digits than its factorization.

404041431114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070058 (or 1070056 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 404041431114012 its reverse (210411134140404), we get a palindrome (614452565254416).

The spelling of 404041431114012 in words is "four hundred four trillion, forty-one billion, four hundred thirty-one million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 587 1174 1761 2348 3522 7044 56633 113266 169899 226532 339798 679596 1012831 2025662 3038493 4051324 6076986 12153972 33243571 66487142 99730713 132974284 199461426 398922852 594531797 1189063594 1783595391 2378127188 3567190782 7134381564 57359658023 114719316046 172078974069 229438632092 344157948138 688315896276 33670119259501 67340238519002 101010357778503 134680477038004 202020715557006 404041431114012