Search a number
-
+
4200402042440 = 235244393429677
BaseRepresentation
bin111101000111111011011…
…110001011111001001000
3112212112222020111020222022
4331013323132023321020
51022304410410324230
612533345453144012
7612316610156402
oct75077336137110
915775866436868
104200402042440
11137a4204a324a
1257a09618b008
132461334c2a36
1410742c997b72
15743de8981e5
hex3d1fb78be48

4200402042440 has 32 divisors (see below), whose sum is σ = 9450965261880. Its totient is φ = 1680150031872.

The previous prime is 4200402042439. The next prime is 4200402042493. The reversal of 4200402042440 is 442402040024.

It can be written as a sum of positive squares in 4 ways, for example, as 2206110148804 + 1994291893636 = 1485298^2 + 1412194^2 .

It is a super-2 number, since 2×42004020424402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9560882 + ... + 9990558.

Almost surely, 24200402042440 is an apocalyptic number.

4200402042440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200402042440 is an abundant number, since it is smaller than the sum of its proper divisors (5250563219440).

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

4200402042440 is a wasteful number, since it uses less digits than its factorization.

4200402042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674081 (or 674077 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4200402042440 its reverse (442402040024), we get a palindrome (4642804082464).

The spelling of 4200402042440 in words is "four trillion, two hundred billion, four hundred two million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 244393 429677 488786 859354 977572 1221965 1718708 1955144 2148385 2443930 3437416 4296770 4887860 8593540 9775720 17187080 105010051061 210020102122 420040204244 525050255305 840080408488 1050100510610 2100201021220 4200402042440