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4042140240 = 2435103163517
BaseRepresentation
bin1111000011101110…
…0010101001010000
3101102200222222222210
43300323202221100
531234241441430
61505033032120
7202111424265
oct36073425120
911380888883
104042140240
111794756876
12949855640
134c5587478
142a4ba326c
15189ceb2b0
hexf0ee2a50

4042140240 has 80 divisors (see below), whose sum is σ = 12652368768. Its totient is φ = 1067432448.

The previous prime is 4042140239. The next prime is 4042140247. The reversal of 4042140240 is 420412404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042140247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57039 + ... + 106478.

Almost surely, 24042140240 is an apocalyptic number.

4042140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042140240 is an abundant number, since it is smaller than the sum of its proper divisors (8610228528).

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

4042140240 is a wasteful number, since it uses less digits than its factorization.

4042140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163636 (or 163630 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4042140240 is about 63577.8282107843. The cubic root of 4042140240 is about 1592.9560451120.

Adding to 4042140240 its reverse (420412404), we get a palindrome (4462552644).

The spelling of 4042140240 in words is "four billion, forty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 163517 327034 490551 654068 817585 981102 1308136 1635170 1962204 2452755 2616272 3270340 3924408 4905510 6540680 7848816 9811020 13081360 16842251 19622040 33684502 39244080 50526753 67369004 84211255 101053506 134738008 168422510 202107012 252633765 269476016 336845020 404214024 505267530 673690040 808428048 1010535060 1347380080 2021070120 4042140240