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24414113000 = 235324414113
BaseRepresentation
bin10110101111001100…
…011100110011101000
32100000110110102221102
4112233030130303220
5400000003104000
615114331100532
71523001352004
oct265714346350
970013412842
1024414113000
11a3991484a2
1248942a1748
1323c103c614
141278635704
1597d5413d5
hex5af31cce8

24414113000 has 32 divisors (see below), whose sum is σ = 57129026760. Its totient is φ = 9765644800.

The previous prime is 24414112951. The next prime is 24414113027. The reversal of 24414113000 is 31141442.

It can be written as a sum of positive squares in 4 ways, for example, as 9167296516 + 15246816484 = 95746^2 + 123478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12206057 + ... + 12208056.

Almost surely, 224414113000 is an apocalyptic number.

24414113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24414113000 is an abundant number, since it is smaller than the sum of its proper divisors (32714913760).

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

24414113000 is a wasteful number, since it uses less digits than its factorization.

24414113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24414134 (or 24414120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 24414113000 its reverse (31141442), we get a palindrome (24445254442).

The spelling of 24414113000 in words is "twenty-four billion, four hundred fourteen million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 24414113 48828226 97656452 122070565 195312904 244141130 488282260 610352825 976564520 1220705650 2441411300 3051764125 4882822600 6103528250 12207056500 24414113000