Search a number
-
+
10416421040 = 245130205263
BaseRepresentation
bin10011011001101110…
…11111100010110000
3222212221100000101212
421230313133202300
5132313100433130
64441340015252
7516062055314
oct115467374260
928787300355
1010416421040
114465886333
122028531528
13ca005b15c
1470b59db44
1540e716e95
hex26cddf8b0

10416421040 has 20 divisors (see below), whose sum is σ = 24218179104. Its totient is φ = 4166568384.

The previous prime is 10416421039. The next prime is 10416421051. The reversal of 10416421040 is 4012461401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10416420997 and 10416421015.

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, 65102552 + ... + 65102711.

Almost surely, 210416421040 is an apocalyptic number.

10416421040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416421040 is an abundant number, since it is smaller than the sum of its proper divisors (13801758064).

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

10416421040 is a wasteful number, since it uses less digits than its factorization.

10416421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130205276 (or 130205270 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10416421040 its reverse (4012461401), we get a palindrome (14428882441).

The spelling of 10416421040 in words is "ten billion, four hundred sixteen million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 130205263 260410526 520821052 651026315 1041642104 1302052630 2083284208 2604105260 5208210520 10416421040