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24100400000 = 275560251
BaseRepresentation
bin10110011100011111…
…101110101110000000
32022012121011011121102
4112130133232232000
5343324200300000
615023243113532
71512142006565
oct263437565600
968177134542
1024100400000
11a248058256
1248072128a8
13237104cc21
141248ad286c
15960c243d5
hex59c7eeb80

24100400000 has 96 divisors (see below), whose sum is σ = 60012799560. Its totient is φ = 9640000000.

The previous prime is 24100399997. The next prime is 24100400003. The reversal of 24100400000 is 400142.

It is an interprime number because it is at equal distance from previous prime (24100399997) and next prime (24100400003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24100400003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 369875 + ... + 430125.

Almost surely, 224100400000 is an apocalyptic number.

24100400000 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 24100400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30006399780).

24100400000 is an abundant number, since it is smaller than the sum of its proper divisors (35912399560).

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

24100400000 is an frugal number, since it uses more digits than its factorization.

24100400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60290 (or 60258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 24100400000 its reverse (400142), we get a palindrome (24100800142).

The spelling of 24100400000 in words is "twenty-four billion, one hundred million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 60251 80000 100000 120502 200000 241004 301255 400000 482008 602510 964016 1205020 1506275 1928032 2410040 3012550 3856064 4820080 6025100 7531375 7712128 9640160 12050200 15062750 19280320 24100400 30125500 37656875 38560640 48200800 60251000 75313750 96401600 120502000 150627500 188284375 192803200 241004000 301255000 376568750 482008000 602510000 753137500 964016000 1205020000 1506275000 2410040000 3012550000 4820080000 6025100000 12050200000 24100400000