Search a number
-
+
4134580002 = 2327142922963
BaseRepresentation
bin1111011001110000…
…1010111100100010
3101200010221102111200
43312130022330202
531431423030002
61522134222030
7204313231050
oct36634127442
911603842450
104134580002
111831954173
129747b4916
1350b781a57
142b31871d0
15192eaab1c
hexf670af22

4134580002 has 48 divisors (see below), whose sum is σ = 10245618240. Its totient is φ = 1180430496.

The previous prime is 4134579971. The next prime is 4134580003. The reversal of 4134580002 is 2000854314.

It is not an unprimeable number, because it can be changed into a prime (4134580003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168573 + ... + 191535.

It is an arithmetic number, because the mean of its divisors is an integer number (213450380).

Almost surely, 24134580002 is an apocalyptic number.

4134580002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4134580002 is an abundant number, since it is smaller than the sum of its proper divisors (6111038238).

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

4134580002 is a wasteful number, since it uses less digits than its factorization.

4134580002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24404 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4134580002 is about 64300.6998562224. The cubic root of 4134580002 is about 1605.0077479464.

The spelling of 4134580002 in words is "four billion, one hundred thirty-four million, five hundred eighty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1429 2858 4287 8574 10003 12861 20006 22963 25722 30009 45926 60018 68889 90027 137778 160741 180054 206667 321482 413334 482223 964446 1446669 2893338 32814127 65628254 98442381 196884762 229698889 295327143 459397778 590654286 689096667 1378193334 2067290001 4134580002