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2240004242440 = 23586936441977
BaseRepresentation
bin100000100110001010101…
…010000011110000001000
321221010211202011121111101
4200212022222003300020
5243200012041224230
64433013240511144
7320556251622346
oct40461252036010
97833752147441
102240004242440
11793a86aa8478
12302164a7b4b4
1313330178cb03
147a5b9924996
153d4034c5aca
hex2098aa83c08

2240004242440 has 32 divisors (see below), whose sum is σ = 5040590105880. Its totient is φ = 895898486272.

The previous prime is 2240004242401. The next prime is 2240004242477. The reversal of 2240004242440 is 442424000422.

It can be written as a sum of positive squares in 4 ways, for example, as 767912205636 + 1472092036804 = 876306^2 + 1213298^2 .

It is a super-2 number, since 2×22400042424402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2240004242399 and 2240004242408.

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, 2873269 + ... + 3568708.

Almost surely, 22240004242440 is an apocalyptic number.

2240004242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240004242440 is an abundant number, since it is smaller than the sum of its proper divisors (2800585863440).

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

2240004242440 is a wasteful number, since it uses less digits than its factorization.

2240004242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450681 (or 6450677 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2240004242440 its reverse (442424000422), we get a palindrome (2682428242862).

The spelling of 2240004242440 in words is "two trillion, two hundred forty billion, four million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8693 17386 34772 43465 69544 86930 173860 347720 6441977 12883954 25767908 32209885 51535816 64419770 128839540 257679080 56000106061 112000212122 224000424244 280000530305 448000848488 560001060610 1120002121220 2240004242440