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24120343040 = 29567140627
BaseRepresentation
bin10110011101101011…
…110011101000000000
32022020222200101022112
4112131223303220000
5343344301434130
615025234354452
71512503350553
oct263553635000
968228611275
1024120343040
11a258339802
124811a2ba28
132375213441
14124b60469a
15962863495
hex59daf3a00

24120343040 has 80 divisors (see below), whose sum is σ = 58695877152. Its totient is φ = 9504067584.

The previous prime is 24120342991. The next prime is 24120343109. The reversal of 24120343040 is 4034302142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 24120342997 and 24120343015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101207 + ... + 241833.

Almost surely, 224120343040 is an apocalyptic number.

24120343040 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 24120343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29347938576).

24120343040 is an abundant number, since it is smaller than the sum of its proper divisors (34575534112).

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

24120343040 is an equidigital number, since it uses as much as digits as its factorization.

24120343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140717 (or 140701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 24120343040 its reverse (4034302142), we get a palindrome (28154645182).

The spelling of 24120343040 in words is "twenty-four billion, one hundred twenty million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 1072 1280 1340 2144 2560 2680 4288 5360 8576 10720 17152 21440 34304 42880 85760 140627 171520 281254 562508 703135 1125016 1406270 2250032 2812540 4500064 5625080 9000128 9422009 11250160 18000256 18844018 22500320 36000512 37688036 45000640 47110045 72001024 75376072 90001280 94220090 150752144 180002560 188440180 301504288 360005120 376880360 603008576 753760720 1206017152 1507521440 2412034304 3015042880 4824068608 6030085760 12060171520 24120343040