Search a number
-
+
404214553201041 = 321118985121506209
BaseRepresentation
bin101101111101000011000100…
…0110110110100100110010001
31222000012112102012122201022100
41123322012020312310212101
5410440122401104413131
63551405334024431013
7151066352306024142
oct13372061066644621
91860175365581270
10404214553201041
1110788247a480840
12394035a4018469
13144713657659cb
1471b61357c5ac9
1531ae8350177e6
hex16fa188db4991

404214553201041 has 24 divisors (see below), whose sum is σ = 636947529023520. Its totient is φ = 244977215328000.

The previous prime is 404214553201003. The next prime is 404214553201051. The reversal of 404214553201041 is 140102355412404.

404214553201041 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 14 + 5 + 532 + 0 + 104 + 1 = 666.

It is not a de Polignac number, because 404214553201041 - 29 = 404214553200529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404214553200987 and 404214553201005.

It is not an unprimeable number, because it can be changed into a prime (404214553201001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8042145 + ... + 29548353.

It is an arithmetic number, because the mean of its divisors is an integer number (26539480375980).

Almost surely, 2404214553201041 is an apocalyptic number.

It is an amenable number.

404214553201041 is a deficient number, since it is larger than the sum of its proper divisors (232732975822479).

404214553201041 is a wasteful number, since it uses less digits than its factorization.

404214553201041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21696077 (or 21696074 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 404214553201041 in words is "four hundred four trillion, two hundred fourteen billion, five hundred fifty-three million, two hundred one thousand, forty-one".

Divisors: 1 3 9 11 33 99 189851 569553 1708659 2088361 6265083 18795249 21506209 64518627 193555881 236568299 709704897 2129114691 4082975284859 12248925854577 36746777563731 44912728133449 134738184400347 404214553201041