Search a number
-
+
1022214340040 = 23538965695009
BaseRepresentation
bin11101110000000001011…
…10001111110111001000
310121201111212121211012212
432320000232033313020
5113221443332340130
62101333200524252
7133565265345545
oct16700056176710
93551455554185
101022214340040
11364578389403
12146141620688
1375518655c4a
143769285dbcc
151b8cbad2e95
hexee00b8fdc8

1022214340040 has 32 divisors (see below), whose sum is σ = 2305894851000. Its totient is φ = 407834609664.

The previous prime is 1022214339983. The next prime is 1022214340057. The reversal of 1022214340040 is 400434122201.

1022214340040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 516929364484 + 505284975556 = 718978^2 + 710834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022214339988 and 1022214340015.

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, 32831945 + ... + 32863064.

Almost surely, 21022214340040 is an apocalyptic number.

1022214340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022214340040 is an abundant number, since it is smaller than the sum of its proper divisors (1283680510960).

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

1022214340040 is a wasteful number, since it uses less digits than its factorization.

1022214340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65695409 (or 65695405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1022214340040 its reverse (400434122201), we get a palindrome (1422648462241).

The spelling of 1022214340040 in words is "one trillion, twenty-two billion, two hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 389 778 1556 1945 3112 3890 7780 15560 65695009 131390018 262780036 328475045 525560072 656950090 1313900180 2627800360 25555358501 51110717002 102221434004 127776792505 204442868008 255553585010 511107170020 1022214340040