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4133231340 = 2235726720983
BaseRepresentation
bin1111011001011100…
…0001101011101100
3101200001101220111020
43312113001223230
531431101400330
61522045254140
7204265613100
oct36627015354
911601356436
104133231340
111831112977
12974264350
1350b3cbc24
142b2d15900
15192ce1210
hexf65c1aec

4133231340 has 144 divisors (see below), whose sum is σ = 13664109312. Its totient is φ = 930593664.

The previous prime is 4133231339. The next prime is 4133231359. The reversal of 4133231340 is 431323314.

It is a self number, because there is not a number n which added to its sum of digits gives 4133231340.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186489 + ... + 207471.

It is an arithmetic number, because the mean of its divisors is an integer number (94889648).

Almost surely, 24133231340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832054656).

4133231340 is an abundant number, since it is smaller than the sum of its proper divisors (9530877972).

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

4133231340 is a wasteful number, since it uses less digits than its factorization.

4133231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21076 (or 21067 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 4133231340 is about 64290.2118521941. The cubic root of 4133231340 is about 1604.8332160423.

Adding to 4133231340 its reverse (431323314), we get a palindrome (4564554654).

The spelling of 4133231340 in words is "four billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 140 147 196 201 210 245 268 294 335 402 420 469 490 588 670 735 804 938 980 1005 1340 1407 1470 1876 2010 2345 2814 2940 3283 4020 4690 5628 6566 7035 9380 9849 13132 14070 16415 19698 20983 28140 32830 39396 41966 49245 62949 65660 83932 98490 104915 125898 146881 196980 209830 251796 293762 314745 419660 440643 587524 629490 734405 881286 1028167 1258980 1405861 1468810 1762572 2056334 2203215 2811722 2937620 3084501 4112668 4217583 4406430 5140835 5623444 6169002 7029305 8435166 8812860 9841027 10281670 12338004 14058610 15422505 16870332 19682054 20563340 21087915 28117220 29523081 30845010 39364108 42175830 49205135 59046162 61690020 68887189 84351660 98410270 118092324 137774378 147615405 196820540 206661567 275548756 295230810 344435945 413323134 590461620 688871890 826646268 1033307835 1377743780 2066615670 4133231340