Search a number
-
+
24113130240 = 28356279461
BaseRepresentation
bin10110011101010000…
…010010101100000000
32022020111002221012210
4112131100102230000
5343340430131430
615024420022120
71512355140153
oct263520225400
968214087183
1024113130240
11a254262711
12480b531940
132373889404
14124a687c9a
15961ddb2b0
hex59d412b00

24113130240 has 72 divisors (see below), whose sum is σ = 77011321968. Its totient is φ = 6430167040.

The previous prime is 24113130233. The next prime is 24113130247. The reversal of 24113130240 is 4203131142.

It is an interprime number because it is at equal distance from previous prime (24113130233) and next prime (24113130247).

It is not an unprimeable number, because it can be changed into a prime (24113130247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3135891 + ... + 3143570.

It is an arithmetic number, because the mean of its divisors is an integer number (1069601694).

Almost surely, 224113130240 is an apocalyptic number.

24113130240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24113130240 is an abundant number, since it is smaller than the sum of its proper divisors (52898191728).

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

24113130240 is an equidigital number, since it uses as much as digits as its factorization.

24113130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279485 (or 6279471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 24113130240 its reverse (4203131142), we get a palindrome (28316261382).

The spelling of 24113130240 in words is "twenty-four billion, one hundred thirteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6279461 12558922 18838383 25117844 31397305 37676766 50235688 62794610 75353532 94191915 100471376 125589220 150707064 188383830 200942752 251178440 301414128 376767660 401885504 502356880 602828256 753535320 803771008 1004713760 1205656512 1507070640 1607542016 2009427520 2411313024 3014141280 4018855040 4822626048 6028282560 8037710080 12056565120 24113130240