Search a number
-
+
420201304002 = 232291316144911
BaseRepresentation
bin1100001110101011111…
…00110000111111000010
31111011121112212221102100
412013111330300333002
523341033013212002
6521012100131230
742233660103024
oct6072574607702
91434545787370
10420201304002
1115222a755067
1269530696b16
133081793896c
14164a30ca014
15ade517a11c
hex61d5f30fc2

420201304002 has 48 divisors (see below), whose sum is σ = 949020209280. Its totient is φ = 134204834400.

The previous prime is 420201304001. The next prime is 420201304021. The reversal of 420201304002 is 200403102024.

420201304002 is a `hidden beast` number, since 420 + 201 + 3 + 0 + 40 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420201304001) 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, 3004074 + ... + 3140837.

It is an arithmetic number, because the mean of its divisors is an integer number (19771254360).

Almost surely, 2420201304002 is an apocalyptic number.

420201304002 is an abundant number, since it is smaller than the sum of its proper divisors (528818905278).

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

420201304002 is a wasteful number, since it uses less digits than its factorization.

420201304002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145079 (or 6145076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 420201304002 its reverse (200403102024), we get a palindrome (620604406026).

The spelling of 420201304002 in words is "four hundred twenty billion, two hundred one million, three hundred four thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 131 174 261 262 393 522 786 1179 2358 3799 7598 11397 22794 34191 68382 6144911 12289822 18434733 36869466 55304199 110608398 178202419 356404838 534607257 804983341 1069214514 1603821771 1609966682 2414950023 3207643542 4829900046 7244850069 14489700138 23344516889 46689033778 70033550667 140067101334 210100652001 420201304002