Search a number
-
+
404022242034 = 2342493964457
BaseRepresentation
bin1011110000100011001…
…10100010101011110010
31102121212000010102210000
411320101212202223302
523104414143221114
6505334422450430
741122022252115
oct5702146425362
91377760112700
10404022242034
11146388028374
1266376293a16
132c139a49808
14157aa46657c
15a799ab3e09
hex5e119a2af2

404022242034 has 20 divisors (see below), whose sum is σ = 905309098254. Its totient is φ = 134674080624.

The previous prime is 404022242033. The next prime is 404022242047. The reversal of 404022242034 is 430242220404.

404022242034 is a `hidden beast` number, since 4 + 0 + 402 + 224 + 2 + 0 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 373168265625 + 30853976409 = 610875^2 + 175653^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404022241989 and 404022242007.

It is not an unprimeable number, because it can be changed into a prime (404022242033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1246982067 + ... + 1246982390.

Almost surely, 2404022242034 is an apocalyptic number.

404022242034 is an abundant number, since it is smaller than the sum of its proper divisors (501286856220).

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

404022242034 is a wasteful number, since it uses less digits than its factorization.

404022242034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493964471 (or 2493964462 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 404022242034 its reverse (430242220404), we get a palindrome (834264462438).

The spelling of 404022242034 in words is "four hundred four billion, twenty-two million, two hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 2493964457 4987928914 7481893371 14963786742 22445680113 44891360226 67337040339 134674080678 202011121017 404022242034