Search a number
-
+
4021053423264 = 253213961991053
BaseRepresentation
bin111010100000111001011…
…101011111111010100000
3112020102001010102102020100
4322200321131133322200
51011340104134021024
612315125121542400
7563340311103633
oct72407135377240
915212033372210
104021053423264
111310356913129
1254b3827a4a00
132322507c6b37
14dc8974bbc1a
156e8e445b7c9
hex3a83975fea0

4021053423264 has 36 divisors (see below), whose sum is σ = 11434870673226. Its totient is φ = 1340351140992.

The previous prime is 4021053423241. The next prime is 4021053423271. The reversal of 4021053423264 is 4623243501204.

4021053423264 is a `hidden beast` number, since 40 + 2 + 1 + 0 + 534 + 23 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3955691387664 + 65362035600 = 1988892^2 + 255660^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6980995239 + ... + 6980995814.

Almost surely, 24021053423264 is an apocalyptic number.

It is an amenable number.

4021053423264 is an abundant number, since it is smaller than the sum of its proper divisors (7413817249962).

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

4021053423264 is a wasteful number, since it uses less digits than its factorization.

4021053423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961991069 (or 13961991058 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4021053423264 its reverse (4623243501204), we get a palindrome (8644296924468).

The spelling of 4021053423264 in words is "four trillion, twenty-one billion, fifty-three million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13961991053 27923982106 41885973159 55847964212 83771946318 111695928424 125657919477 167543892636 223391856848 251315838954 335087785272 446783713696 502631677908 670175570544 1005263355816 1340351141088 2010526711632 4021053423264