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24242114440 = 2351931897519
BaseRepresentation
bin10110100100111100…
…010100111110001000
32022120110211000021101
4112210330110332020
5344121440130230
615045304351144
71515512400325
oct264474247610
968513730241
1024242114440
11a310050425
1248467754b4
13239450a71b
14125d861b4c
1596d3b8aca
hex5a4f14f88

24242114440 has 32 divisors (see below), whose sum is σ = 57415536000. Its totient is φ = 9186485184.

The previous prime is 24242114411. The next prime is 24242114441. The reversal of 24242114440 is 4441124242.

It is a happy number.

It is a super-2 number, since 2×242421144402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24242114399 and 24242114408.

It is not an unprimeable number, because it can be changed into a prime (24242114441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15948000 + ... + 15949519.

It is an arithmetic number, because the mean of its divisors is an integer number (1794235500).

Almost surely, 224242114440 is an apocalyptic number.

24242114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24242114440 is an abundant number, since it is smaller than the sum of its proper divisors (33173421560).

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

24242114440 is a wasteful number, since it uses less digits than its factorization.

24242114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31897549 (or 31897545 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 24242114440 its reverse (4441124242), we get a palindrome (28683238682).

The spelling of 24242114440 in words is "twenty-four billion, two hundred forty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 31897519 63795038 127590076 159487595 255180152 318975190 606052861 637950380 1212105722 1275900760 2424211444 3030264305 4848422888 6060528610 12121057220 24242114440