Search a number
-
+
404434431312 = 24368329123311
BaseRepresentation
bin1011110001010100010…
…10111010110101010000
31102122220201201211011120
411320222022322311100
523111240203300222
6505443345242240
741135155642122
oct5705212726520
91378821654146
10404434431312
1114657976926a
1266470333380
132c1a42682b2
14158090c1212
15a7c0d8415c
hex5e2a2bad50

404434431312 has 40 divisors (see below), whose sum is σ = 1044812711040. Its totient is φ = 134808410880.

The previous prime is 404434431283. The next prime is 404434431367. The reversal of 404434431312 is 213134434404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3218137 + ... + 3341447.

It is an arithmetic number, because the mean of its divisors is an integer number (26120317776).

Almost surely, 2404434431312 is an apocalyptic number.

It is an amenable number.

404434431312 is an abundant number, since it is smaller than the sum of its proper divisors (640378279728).

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

404434431312 is a wasteful number, since it uses less digits than its factorization.

404434431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191651 (or 191645 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 404434431312 its reverse (213134434404), we get a palindrome (617568865716).

The spelling of 404434431312 in words is "four hundred four billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 68329 123311 136658 204987 246622 273316 369933 409974 493244 546632 739866 819948 986488 1093264 1479732 1639896 1972976 2959464 3279792 5918928 8425717319 16851434638 25277151957 33702869276 50554303914 67405738552 101108607828 134811477104 202217215656 404434431312