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10014433040 = 245149840137
BaseRepresentation
bin10010101001110100…
…00001111100010000
3221211220220220112102
421110322001330100
5131002143324130
64333420015532
7503111163533
oct112472017420
927756826472
1010014433040
114279982847
121b359915a8
13c379a1a31
146b003ca1a
153d92ae645
hex254e81f10

10014433040 has 40 divisors (see below), whose sum is σ = 23439850200. Its totient is φ = 3978884096.

The previous prime is 10014433031. The next prime is 10014433057. The reversal of 10014433040 is 4033441001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 589129984 + 9425303056 = 24272^2 + 97084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100144330402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 408149 + ... + 431988.

It is an arithmetic number, because the mean of its divisors is an integer number (585996255).

Almost surely, 210014433040 is an apocalyptic number.

10014433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014433040 is an abundant number, since it is smaller than the sum of its proper divisors (13425417160).

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

10014433040 is a wasteful number, since it uses less digits than its factorization.

10014433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840299 (or 840293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10014433040 its reverse (4033441001), we get a palindrome (14047874041).

The spelling of 10014433040 in words is "ten billion, fourteen million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 840137 1680274 3360548 4200685 6721096 8401370 13442192 16802740 33605480 67210960 125180413 250360826 500721652 625902065 1001443304 1251804130 2002886608 2503608260 5007216520 10014433040