Search a number
-
+
404043404142132 = 223216976613687621
BaseRepresentation
bin101101111011110011010111…
…1100100111110011000110100
31221222121011122112111200200200
41123313212233210332120310
5410424321342430022012
63551154551042240500
7151051113133025046
oct13367465744763064
91858534575450620
10404043404142132
11107816933280707
123939639a656130
131445b18b742011
1471abb3b2bda96
1531aa1698953dc
hex16f79af93e634

404043404142132 has 36 divisors (see below), whose sum is σ = 1021933783976196. Its totient is φ = 134601770442240.

The previous prime is 404043404142047. The next prime is 404043404142167. The reversal of 404043404142132 is 231241404340404.

404043404142132 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 434 + 0 + 4 + 1 + 4 + 213 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 348682572225936 + 55360831916196 = 18673044^2 + 7440486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3306782719 + ... + 3306904902.

Almost surely, 2404043404142132 is an apocalyptic number.

It is an amenable number.

404043404142132 is an abundant number, since it is smaller than the sum of its proper divisors (617890379834064).

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

404043404142132 is a wasteful number, since it uses less digits than its factorization.

404043404142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613689328 (or 6613689323 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 404043404142132 its reverse (231241404340404), we get a palindrome (635284808482536).

The spelling of 404043404142132 in words is "four hundred four trillion, forty-three billion, four hundred four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1697 3394 5091 6788 10182 15273 20364 30546 61092 6613687621 13227375242 19841062863 26454750484 39682125726 59523188589 79364251452 119046377178 238092754356 11223427892837 22446855785674 33670283678511 44893711571348 67340567357022 101010851035533 134681134714044 202021702071066 404043404142132