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4042123520 = 2856151769
BaseRepresentation
bin1111000011101101…
…1110100100000000
3101102200222011001112
43300323132210000
531234240423040
61505032422452
7202111324451
oct36073364400
911380864045
104042123520
111794745256
12949847a28
134c557c986
142a4b9b128
15189ce6365
hexf0ede900

4042123520 has 72 divisors (see below), whose sum is σ = 9841062840. Its totient is φ = 1590312960.

The previous prime is 4042123417. The next prime is 4042123529. The reversal of 4042123520 is 253212404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 4030726144 = 3376^2 + 63488^2 .

It is not an unprimeable number, because it can be changed into a prime (4042123529) 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, 52196 + ... + 103964.

Almost surely, 24042123520 is an apocalyptic number.

4042123520 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 4042123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920531420).

4042123520 is an abundant number, since it is smaller than the sum of its proper divisors (5798939320).

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

4042123520 is an equidigital number, since it uses as much as digits as its factorization.

4042123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51851 (or 51837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4042123520 is about 63577.6967182675. The cubic root of 4042123520 is about 1592.9538487292.

Adding to 4042123520 its reverse (253212404), we get a palindrome (4295335924).

The spelling of 4042123520 in words is "four billion, forty-two million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 51769 78080 103538 207076 258845 414152 517690 828304 1035380 1656608 2070760 3157909 3313216 4141520 6315818 6626432 8283040 12631636 13252864 15789545 16566080 25263272 31579090 33132160 50526544 63158180 66264320 101053088 126316360 202106176 252632720 404212352 505265440 808424704 1010530880 2021061760 4042123520