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24123040000 = 2854150769
BaseRepresentation
bin10110011101110110…
…000110000100000000
32022021011202101211221
4112131312012010000
5343400444240000
615025412244424
71512535312453
oct263566060400
968234671757
1024123040000
11a259910aa4
124812910714
132375948b87
14124bb0749a
15962be761a
hex59dd86100

24123040000 has 90 divisors (see below), whose sum is σ = 60170950070. Its totient is φ = 9649152000.

The previous prime is 24123039959. The next prime is 24123040027. The reversal of 24123040000 is 4032142.

It can be written as a sum of positive squares in 5 ways, for example, as 2422214656 + 21700825344 = 49216^2 + 147312^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84616 + ... + 235384.

Almost surely, 224123040000 is an apocalyptic number.

24123040000 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 24123040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30085475035).

24123040000 is an abundant number, since it is smaller than the sum of its proper divisors (36047910070).

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

24123040000 is an frugal number, since it uses more digits than its factorization.

24123040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150805 (or 150776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 24123040000 its reverse (4032142), we get a palindrome (24127072142).

The spelling of 24123040000 in words is "twenty-four billion, one hundred twenty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 150769 160000 301538 603076 753845 1206152 1507690 2412304 3015380 3769225 4824608 6030760 7538450 9649216 12061520 15076900 18846125 19298432 24123040 30153800 37692250 38596864 48246080 60307600 75384500 94230625 96492160 120615200 150769000 188461250 192984320 241230400 301538000 376922500 482460800 603076000 753845000 964921600 1206152000 1507690000 2412304000 3015380000 4824608000 6030760000 12061520000 24123040000