Search a number
-
+
45210321032044 = 2272361244942019
BaseRepresentation
bin10100100011110010110010…
…01000000001001101101100
312221002001202000011120112011
422101321121020001031230
521411211214141011134
6240053200150251004
712344223621062260
oct1221713110011554
9187061660146464
1045210321032044
1113450653656983
1250a2091056a64
131c2c41301b23c
14b242969920a0
15536056a36264
hex291e5920136c

45210321032044 has 144 divisors (see below), whose sum is σ = 96140011968000. Its totient is φ = 18188563599360.

The previous prime is 45210321032017. The next prime is 45210321032059. The reversal of 45210321032044 is 44023012301254.

It is a junction number, because it is equal to n+sod(n) for n = 45210321031997 and 45210321032015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075928467 + ... + 1075970485.

It is an arithmetic number, because the mean of its divisors is an integer number (667638972000).

Almost surely, 245210321032044 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 45210321032044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48070005984000).

45210321032044 is an abundant number, since it is smaller than the sum of its proper divisors (50929690935956).

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

45210321032044 is a wasteful number, since it uses less digits than its factorization.

45210321032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42624 (or 42561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 45210321032044 its reverse (44023012301254), we get a palindrome (89233333333298).

The spelling of 45210321032044 in words is "forty-five trillion, two hundred ten billion, three hundred twenty-one million, thirty-two thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 449 644 854 898 1403 1708 1796 2806 3143 3721 5612 6286 7442 9821 10327 12572 14884 19642 20654 26047 27389 39284 41308 42019 52094 54778 72289 84038 85583 104188 109556 144578 168076 171166 191723 289156 294133 342332 383446 588266 599081 629947 766892 966437 1176532 1198162 1259894 1670729 1932874 2396324 2519788 2563159 3341458 3865748 4409629 5126318 6682916 6765059 8819258 10252636 11695103 13530118 17638516 17942113 18866531 23390206 27060236 35884226 37733062 38426767 46780412 58952657 71768452 75466124 76853534 117905314 132065717 153707068 156352699 235810628 264131434 268987369 312705398 412668599 433930213 528262868 537974738 625410796 825337198 867860426 1075949476 1094468893 1150858391 1650674396 1735720852 2188937786 2301716782 3037511491 3596112077 4377875572 4603433564 6075022982 7192224154 8056008737 12150045964 14384448308 16112017474 25172784539 26469742993 32224034948 50345569078 52939485986 70202361851 100691138156 105878971972 140404723702 185288200951 280809447404 370576401902 491416532957 741152803804 982833065914 1614654322573 1965666131828 3229308645146 6458617290292 11302580258011 22605160516022 45210321032044