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1255106361444 = 2231373829132947
BaseRepresentation
bin10010010000111010001…
…010110011100001100100
311102222122112001022122020
4102100322022303201210
5131030424212031234
62400330553103140
7156451464021645
oct22207212634144
94388575038566
101255106361444
11444318903071
121832b86b7ab0
1391482246480
1444a670c56cc
15229ac9e6549
hex1243a2b3864

1255106361444 has 96 divisors (see below), whose sum is σ = 3200941134720. Its totient is φ = 380434019328.

The previous prime is 1255106361433. The next prime is 1255106361497. The reversal of 1255106361444 is 4441636015521.

It is a junction number, because it is equal to n+sod(n) for n = 1255106361396 and 1255106361405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9374179 + ... + 9507125.

It is an arithmetic number, because the mean of its divisors is an integer number (33343136820).

Almost surely, 21255106361444 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 1255106361444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600470567360).

1255106361444 is an abundant number, since it is smaller than the sum of its proper divisors (1945834773276).

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

1255106361444 is a wasteful number, since it uses less digits than its factorization.

1255106361444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133869 (or 133867 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1255106361444 in words is "one trillion, two hundred fifty-five billion, one hundred six million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 829 876 949 1658 1898 2487 2847 3316 3796 4974 5694 9948 10777 11388 21554 32331 43108 60517 64662 121034 129324 132947 181551 242068 265894 363102 398841 531788 726204 786721 797682 1573442 1595364 1728311 2360163 3146884 3456622 4720326 5184933 6913244 9440652 9705131 10369866 19410262 20739732 29115393 38820524 58230786 110213063 116461572 126166703 220426126 252333406 330639189 378500109 440852252 504666812 661278378 757000218 1322556756 1432769819 1514000436 2865539638 4298309457 5731079276 8045553599 8596618914 16091107198 17193237828 24136660797 32182214396 48273321594 96546643188 104592196787 209184393574 313776590361 418368787148 627553180722 1255106361444