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4032112240 = 2451334711173
BaseRepresentation
bin1111000001010101…
…0010011001110000
3101102000010112011101
43300111102121300
531224210042430
61504034054144
7201630250162
oct36025223160
911360115141
104032112240
11178a027672
1294641a354
134c3485c40
142a3712932
15188eb9dca
hexf0552670

4032112240 has 80 divisors (see below), whose sum is σ = 10125789408. Its totient is φ = 1484356608.

The previous prime is 4032112213. The next prime is 4032112277. The reversal of 4032112240 is 422112304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355294 + ... + 366466.

Almost surely, 24032112240 is an apocalyptic number.

4032112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062894704).

4032112240 is an abundant number, since it is smaller than the sum of its proper divisors (6093677168).

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

4032112240 is a wasteful number, since it uses less digits than its factorization.

4032112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4032112240 is about 63498.9152663256. The cubic root of 4032112240 is about 1591.6376518503.

Adding to 4032112240 its reverse (422112304), we get a palindrome (4454224544).

The spelling of 4032112240 in words is "four billion, thirty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 347 520 694 1040 1388 1735 2776 3470 4511 5552 6940 9022 11173 13880 18044 22346 22555 27760 36088 44692 45110 55865 72176 89384 90220 111730 145249 178768 180440 223460 290498 360880 446920 580996 726245 893840 1161992 1452490 2323984 2904980 3877031 5809960 7754062 11619920 15508124 19385155 31016248 38770310 50401403 62032496 77540620 100802806 155081240 201605612 252007015 310162480 403211224 504014030 806422448 1008028060 2016056120 4032112240