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2140404432 = 24389501031
BaseRepresentation
bin111111110010011…
…1111101011010000
312112011112210220020
41333210333223100
513340420420212
6552220143440
7104020065105
oct17744775320
95464483806
102140404432
119a9225591
124b8997b80
132815967ca
141643a6aac
15c7d98d8c
hex7f93fad0

2140404432 has 40 divisors (see below), whose sum is σ = 5591517120. Its totient is φ = 705450240.

The previous prime is 2140404407. The next prime is 2140404437. The reversal of 2140404432 is 2344040412.

It is a happy number.

It is a super-2 number, since 2×21404044322 = 9162662265050485248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140404437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246244 + ... + 254787.

It is an arithmetic number, because the mean of its divisors is an integer number (139787928).

Almost surely, 22140404432 is an apocalyptic number.

It is an amenable number.

2140404432 is an abundant number, since it is smaller than the sum of its proper divisors (3451112688).

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

2140404432 is a wasteful number, since it uses less digits than its factorization.

2140404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501131 (or 501125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2140404432 is about 46264.5050984013. The cubic root of 2140404432 is about 1288.7399173091.

Adding to 2140404432 its reverse (2344040412), we get a palindrome (4484444844).

The spelling of 2140404432 in words is "two billion, one hundred forty million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 501031 1002062 1503093 2004124 3006186 4008248 6012372 8016496 12024744 24049488 44591759 89183518 133775277 178367036 267550554 356734072 535101108 713468144 1070202216 2140404432