Search a number
-
+
2315842485132 = 22311237411051373
BaseRepresentation
bin100001101100110010111…
…101111111101110001100
322012101121001012111201210
4201230302331333232030
5300420321134011012
64531514445334420
7326212510221621
oct41546275775614
98171531174653
102315842485132
11813163788700
123149aab67410
1313a4c9618927
1480131a80348
154039141b23c
hex21b32f7fb8c

2315842485132 has 144 divisors (see below), whose sum is σ = 6248845574496. Its totient is φ = 666149299200.

The previous prime is 2315842485119. The next prime is 2315842485139.

2315842485132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2315842485139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676998 + ... + 2728370.

It is an arithmetic number, because the mean of its divisors is an integer number (43394760934).

Almost surely, 22315842485132 is an apocalyptic number.

2315842485132 is a gapful number since it is divisible by the number (22) 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 2315842485132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124422787248).

2315842485132 is an abundant number, since it is smaller than the sum of its proper divisors (3933003089364).

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

2315842485132 is a wasteful number, since it uses less digits than its factorization.

2315842485132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051480 (or 1051467 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 2315842485132 in words is "two trillion, three hundred fifteen billion, eight hundred forty-two million, four hundred eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 41 44 66 74 82 111 121 123 132 148 164 222 242 246 363 407 444 451 484 492 726 814 902 1221 1353 1452 1517 1628 1804 2442 2706 3034 4477 4551 4884 4961 5412 6068 8954 9102 9922 13431 14883 16687 17908 18204 19844 26862 29766 33374 50061 53724 59532 66748 100122 183557 200244 367114 550671 734228 1051373 1101342 2102746 2202684 3154119 4205492 6308238 11565103 12616476 23130206 34695309 38900801 43106293 46260412 69390618 77801602 86212586 116702403 127216133 129318879 138781236 155603204 172425172 233404806 254432266 258637758 381648399 427908811 466809612 474169223 508864532 517275516 763296798 855817622 948338446 1283726433 1422507669 1526593596 1594932841 1711635244 1896676892 2567452866 2845015338 3189865682 4706996921 4784798523 5134905732 5215861453 5690030676 6379731364 9413993842 9569597046 10431722906 14120990763 15647584359 17544261251 18827987684 19139194092 20863445812 28241981526 31295168718 35088522502 52632783753 56483963052 62590337436 70177045004 105265567506 192986873761 210531135012 385973747522 578960621283 771947495044 1157921242566 2315842485132