Search a number
-
+
2400400002204 = 2232577115559407
BaseRepresentation
bin100010111011100010111…
…111010100110010011100
322111110212000002102211100
4202323202333110302130
5303312004400032304
65034421210353100
7335265102240201
oct42734277246234
98443760072740
102400400002204
1184600524a816
1232926912b790
13145483a14cb9
1484273c17ca8
154268ea8a439
hex22ee2fd4c9c

2400400002204 has 36 divisors (see below), whose sum is σ = 6078193741984. Its totient is φ = 798746614272.

The previous prime is 2400400002191. The next prime is 2400400002233. The reversal of 2400400002204 is 4022000040042.

2400400002204 is a `hidden beast` number, since 2 + 40 + 0 + 400 + 0 + 0 + 220 + 4 = 666.

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 (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 57758932 + ... + 57800475.

Almost surely, 22400400002204 is an apocalyptic number.

It is an amenable number.

2400400002204 is an abundant number, since it is smaller than the sum of its proper divisors (3677793739780).

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

2400400002204 is a wasteful number, since it uses less digits than its factorization.

2400400002204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115559994 (or 115559989 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2400400002204 its reverse (4022000040042), we get a palindrome (6422400042246).

The spelling of 2400400002204 in words is "two trillion, four hundred billion, four hundred million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 20772 115559407 231118814 346678221 462237628 693356442 1040034663 1386712884 2080069326 4160138652 66677777839 133355555678 200033333517 266711111356 400066667034 600100000551 800133334068 1200200001102 2400400002204