Search a number
-
+
400067040040 = 23510001676001
BaseRepresentation
bin1011101001001011101…
…10101001001100101000
31102020122100201100122021
411310211312221030220
523023314130240130
6503442133034224
740622014506013
oct5644566511450
91366570640567
10400067040040
11144738461598
1265651785974
132b9594b17c5
141551305437a
15a61773c37a
hex5d25da9328

400067040040 has 16 divisors (see below), whose sum is σ = 900150840180. Its totient is φ = 160026816000.

The previous prime is 400067039989. The next prime is 400067040071. The reversal of 400067040040 is 40040760004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 399881699044 + 185340996 = 632362^2 + 13614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400067039987 and 400067040014.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5000837961 + ... + 5000838040.

Almost surely, 2400067040040 is an apocalyptic number.

400067040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400067040040 is an abundant number, since it is smaller than the sum of its proper divisors (500083800140).

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

400067040040 is a wasteful number, since it uses less digits than its factorization.

400067040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001676012 (or 10001676008 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The spelling of 400067040040 in words is "four hundred billion, sixty-seven million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10001676001 20003352002 40006704004 50008380005 80013408008 100016760010 200033520020 400067040040