Search a number
-
+
4112010055344 = 243172853347509
BaseRepresentation
bin111011110101100110111…
…001100000111010110000
3112120002211001101001212110
4323311212321200322300
51014332344033232334
612425010434125320
7603040304525202
oct73654671407260
915502731331773
104112010055344
111345991527044
12564b27a20840
1323a9b78807a9
14103045478772
1571e6979eae9
hex3bd66e60eb0

4112010055344 has 120 divisors (see below), whose sum is σ = 11297575120720. Its totient is φ = 1288526303232.

The previous prime is 4112010055343. The next prime is 4112010055459. The reversal of 4112010055344 is 4435500102114.

It is not an unprimeable number, because it can be changed into a prime (4112010055343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11659062 + ... + 12006570.

Almost surely, 24112010055344 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 4112010055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648787560360).

4112010055344 is an abundant number, since it is smaller than the sum of its proper divisors (7185565065376).

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

4112010055344 is a wasteful number, since it uses less digits than its factorization.

4112010055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348407 (or 348384 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 4112010055344 its reverse (4435500102114), we get a palindrome (8547510157458).

The spelling of 4112010055344 in words is "four trillion, one hundred twelve billion, ten million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 853 867 1156 1706 1734 2312 2559 3412 3468 4624 5118 6824 6936 10236 13648 13872 14501 20472 29002 40944 43503 58004 87006 116008 174012 232016 246517 347509 348024 493034 695018 696048 739551 986068 1042527 1390036 1479102 1972136 2085054 2780072 2958204 3944272 4170108 5560144 5907653 5916408 8340216 11815306 11832816 16680432 17722959 23630612 35445918 47261224 70891836 94522448 100430101 141783672 200860202 283567344 296425177 301290303 401720404 592850354 602580606 803440808 889275531 1185700708 1205161212 1606881616 1778551062 2371401416 2410322424 3557102124 4742802832 4820644848 5039228009 7114204248 10078456018 14228408496 15117684027 20156912036 30235368054 40313824072 60470736108 80627648144 85666876153 120941472216 171333752306 241882944432 257000628459 342667504612 514001256918 685335009224 1028002513836 1370670018448 2056005027672 4112010055344