Search a number
-
+
24005405440 = 28523815401
BaseRepresentation
bin10110010110110101…
…010110101100000000
32021221222101221120101
4112112311112230000
5343130340433230
615010011052144
71506606402532
oct262665265400
967858357511
1024005405440
11a1a9475455
12479b441054
13235746c823
14123a245852
1595770caca
hex596d56b00

24005405440 has 72 divisors (see below), whose sum is σ = 60000540768. Its totient is φ = 9184665600.

The previous prime is 24005405419. The next prime is 24005405447. The reversal of 24005405440 is 4450450042.

It is a junction number, because it is equal to n+sod(n) for n = 24005405399 and 24005405408.

It is not an unprimeable number, because it can be changed into a prime (24005405447) 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, 378261 + ... + 437140.

It is an arithmetic number, because the mean of its divisors is an integer number (833340844).

Almost surely, 224005405440 is an apocalyptic number.

24005405440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24005405440 is an abundant number, since it is smaller than the sum of its proper divisors (35995135328).

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

24005405440 is an equidigital number, since it uses as much as digits as its factorization.

24005405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815445 (or 815431 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 24005405440 its reverse (4450450042), we get a palindrome (28455855482).

The spelling of 24005405440 in words is "twenty-four billion, five million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 14720 29440 815401 1630802 3261604 4077005 6523208 8154010 13046416 16308020 18754223 26092832 32616040 37508446 52185664 65232080 75016892 93771115 104371328 130464160 150033784 187542230 208742656 260928320 300067568 375084460 521856640 600135136 750168920 1043713280 1200270272 1500337840 2400540544 3000675680 4801081088 6001351360 12002702720 24005405440