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24134411320 = 2352983439571
BaseRepresentation
bin10110011110100001…
…011110010000111000
32022021222011010100221
4112132201132100320
5343411402130240
615030500105424
71513034053135
oct263641362070
968258133327
1024134411320
11a265278488
124816695274
1323780ca976
14124d42758c
15963be1a4a
hex59e85e438

24134411320 has 128 divisors (see below), whose sum is σ = 57081024000. Its totient is φ = 9171509760.

The previous prime is 24134411317. The next prime is 24134411347. The reversal of 24134411320 is 2311443142.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42266635 + ... + 42267205.

It is an arithmetic number, because the mean of its divisors is an integer number (445945500).

Almost surely, 224134411320 is an apocalyptic number.

24134411320 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 24134411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512000).

24134411320 is an abundant number, since it is smaller than the sum of its proper divisors (32946612680).

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

24134411320 is a wasteful number, since it uses less digits than its factorization.

24134411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 24134411320 its reverse (2311443142), we get a palindrome (26445854462).

The spelling of 24134411320 in words is "twenty-four billion, one hundred thirty-four million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 83 116 145 166 232 290 332 415 439 571 580 664 830 878 1142 1160 1660 1756 2195 2284 2407 2855 3320 3512 4390 4568 4814 5710 8780 9628 11420 12035 12731 16559 17560 19256 22840 24070 25462 33118 36437 47393 48140 50924 63655 66236 72874 82795 94786 96280 101848 127310 132472 145748 165590 182185 189572 236965 250669 254620 291496 331180 364370 379144 473930 501338 509240 662360 728740 947860 1002676 1056673 1253345 1374397 1457480 1895720 2005352 2113346 2506690 2748794 4226692 5013380 5283365 5497588 6871985 7269401 8453384 10026760 10566730 10995176 13743970 14538802 20805527 21133460 27487940 29077604 36347005 41611054 42266920 54975880 58155208 72694010 83222108 104027635 145388020 166444216 208055270 290776040 416110540 603360283 832221080 1206720566 2413441132 3016801415 4826882264 6033602830 12067205660 24134411320