Search a number
-
+
24421100440 = 235111753229269
BaseRepresentation
bin10110101111100111…
…000110101110011000
32100000221121102220111
4112233213012232120
5400003300203230
615115140534104
71523114633362
oct265747065630
970027542814
1024421100440
11a3a2090240
1248966b1334
1323c2617bb9
141279533d32
1597de7192a
hex5af9c6b98

24421100440 has 256 divisors, whose sum is σ = 65190096000. Its totient is φ = 8134164480.

The previous prime is 24421100399. The next prime is 24421100453. The reversal of 24421100440 is 4400112442.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90784626 + ... + 90784894.

Almost surely, 224421100440 is an apocalyptic number.

24421100440 is a gapful number since it is divisible by the number (20) 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 24421100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32595048000).

24421100440 is an abundant number, since it is smaller than the sum of its proper divisors (40768995560).

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

24421100440 is a wasteful number, since it uses less digits than its factorization.

24421100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 24421100440 its reverse (4400112442), we get a palindrome (28821212882).

The spelling of 24421100440 in words is "twenty-four billion, four hundred twenty-one million, one hundred thousand, four hundred forty".