Search a number
-
+
10442406450 = 235279945149
BaseRepresentation
bin10011011100110101…
…00111101000110010
3222221202020012200110
421232122213220302
5132341224001300
64444105002150
7516525663450
oct115632475062
928852205613
1010442406450
114479514583
122035183356
13ca5558a38
14710c059d0
15411b4b550
hex26e6a7a32

10442406450 has 48 divisors (see below), whose sum is σ = 29596766400. Its totient is φ = 2386835520.

The previous prime is 10442406413. The next prime is 10442406497. The reversal of 10442406450 is 5460424401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971525 + ... + 4973624.

It is an arithmetic number, because the mean of its divisors is an integer number (616599300).

Almost surely, 210442406450 is an apocalyptic number.

10442406450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442406450 is an abundant number, since it is smaller than the sum of its proper divisors (19154359950).

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

10442406450 is a wasteful number, since it uses less digits than its factorization.

10442406450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945171 (or 9945166 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 10442406450 in words is "ten billion, four hundred forty-two million, four hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 9945149 19890298 29835447 49725745 59670894 69616043 99451490 139232086 149177235 208848129 248628725 298354470 348080215 417696258 497257450 696160430 745886175 1044240645 1491772350 1740401075 2088481290 3480802150 5221203225 10442406450