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2140414432 = 251331716231
BaseRepresentation
bin111111110010100…
…0010000111100000
312112011120022121121
41333211002013200
513340421230212
6552220302024
7104020136212
oct17745020740
95464508547
102140414432
119a9232052
124b89a1914
1328159b220
141643aa5b2
15c7d9bd07
hex7f9421e0

2140414432 has 48 divisors (see below), whose sum is σ = 4552686432. Its totient is φ = 984706560.

The previous prime is 2140414379. The next prime is 2140414447. The reversal of 2140414432 is 2344140412.

It is a junction number, because it is equal to n+sod(n) for n = 2140414397 and 2140414406.

It is a congruent number.

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, 123757 + ... + 139987.

It is an arithmetic number, because the mean of its divisors is an integer number (94847634).

Almost surely, 22140414432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276343216).

2140414432 is an abundant number, since it is smaller than the sum of its proper divisors (2412272000).

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

2140414432 is a wasteful number, since it uses less digits than its factorization.

2140414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16571 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2140414432 is about 46264.6131724885. The cubic root of 2140414432 is about 1288.7419243097.

Adding to 2140414432 its reverse (2344140412), we get a palindrome (4484554844).

The spelling of 2140414432 in words is "two billion, one hundred forty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 317 416 634 1268 2536 4121 5072 8242 10144 16231 16484 32462 32968 64924 65936 129848 131872 211003 259696 422006 519392 844012 1688024 3376048 5145227 6752096 10290454 20580908 41161816 66887951 82323632 133775902 164647264 267551804 535103608 1070207216 2140414432