Search a number
-
+
12333424304240 = 24513191494189001
BaseRepresentation
bin1011001101111001100101…
…0111111110000001110000
31121200001201112201201020122
42303132121113332001300
53104032323110213430
642121521422025412
72412026515565114
oct263363127760160
947601645651218
1012333424304240
113a25637540636
121472372a18268
136b60631689c0
14308d25c61744
15165c49b61ee5
hexb37995fe070

12333424304240 has 160 divisors (see below), whose sum is σ = 32724483624000. Its totient is φ = 4285246464000.

The previous prime is 12333424304237. The next prime is 12333424304261. The reversal of 12333424304240 is 4240342433321.

It is a super-2 number, since 2×123334243042402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12333424304240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849740 + ... + 5038740.

It is an arithmetic number, because the mean of its divisors is an integer number (204528022650).

Almost surely, 212333424304240 is an apocalyptic number.

12333424304240 is a gapful number since it is divisible by the number (10) 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 12333424304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362241812000).

12333424304240 is an abundant number, since it is smaller than the sum of its proper divisors (20391059319760).

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

12333424304240 is a wasteful number, since it uses less digits than its factorization.

12333424304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189195 (or 4189189 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 12333424304240 its reverse (4240342433321), we get a palindrome (16573766737561).

The spelling of 12333424304240 in words is "twelve trillion, three hundred thirty-three billion, four hundred twenty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 149 152 190 208 247 260 298 304 380 494 520 596 745 760 988 1040 1192 1235 1490 1520 1937 1976 2384 2470 2831 2980 3874 3952 4940 5662 5960 7748 9685 9880 11324 11920 14155 15496 19370 19760 22648 28310 30992 36803 38740 45296 56620 73606 77480 113240 147212 154960 184015 226480 294424 368030 588848 736060 1472120 2944240 4189001 8378002 16756004 20945005 33512008 41890010 54457013 67024016 79591019 83780020 108914026 159182038 167560040 217828052 272285065 318364076 335120080 397955095 435656104 544570130 624161149 636728152 795910190 871312208 1034683247 1089140260 1248322298 1273456304 1591820380 2069366494 2178280520 2496644596 3120805745 3183640760 4138732988 4356561040 4993289192 5173416235 6241611490 6367281520 8114094937 8277465976 9986578384 10346832470 11859061831 12483222980 16228189874 16554931952 20693664940 23718123662 24966445960 32456379748 40570474685 41387329880 47436247324 49932891920 59295309155 64912759496 81140949370 82774659760 94872494648 118590618310 129825518992 154167803803 162281898740 189744989296 237181236620 308335607606 324563797480 474362473240 616671215212 649127594960 770839019015 948724946480 1233342430424 1541678038030 2466684860848 3083356076060 6166712152120 12333424304240