Search a number
-
+
10440077220 = 2232558000429
BaseRepresentation
bin10011011100100011…
…01110111110100100
3222221120211212120200
421232101232332210
5132340124432340
64443543030500
7516500122626
oct115621567644
928846755520
1010440077220
1144781735a1
12203443b430
13ca4c217b1
1471079ac16
1541183b330
hex26e46efa4

10440077220 has 36 divisors (see below), whose sum is σ = 31668234780. Its totient is φ = 2784020544.

The previous prime is 10440077209. The next prime is 10440077233. The reversal of 10440077220 is 2277004401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2083192164 + 8356885056 = 45642^2 + 91416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

10440077220 is a modest number, since divided by 77220 gives 10440 as remainder.

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 11 ways as a sum of consecutive naturals, for example, 29000035 + ... + 29000394.

Almost surely, 210440077220 is an apocalyptic number.

10440077220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440077220 is an abundant number, since it is smaller than the sum of its proper divisors (21228157560).

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

10440077220 is a wasteful number, since it uses less digits than its factorization.

10440077220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58000444 (or 58000439 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10440077220 in words is "ten billion, four hundred forty million, seventy-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58000429 116000858 174001287 232001716 290002145 348002574 522003861 580004290 696005148 870006435 1044007722 1160008580 1740012870 2088015444 2610019305 3480025740 5220038610 10440077220