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1304440220132 = 227192334738557
BaseRepresentation
bin10010111110110110101…
…100100010100111100100
311121200222200102000011122
4102332312230202213210
5132332443144021012
62435130200553112
7163146146632520
oct22766654424744
94550880360148
101304440220132
11463234552305
12190986482798
1396014ca022a
14471c7172d80
1523de8b55e72
hex12fb6b229e4

1304440220132 has 72 divisors (see below), whose sum is σ = 2754310837824. Its totient is φ = 529450375104.

The previous prime is 1304440220119. The next prime is 1304440220147. The reversal of 1304440220132 is 2310220444031.

It is a super-3 number, since 3×13044402201323 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33812198 + ... + 33850754.

It is an arithmetic number, because the mean of its divisors is an integer number (38254317192).

Almost surely, 21304440220132 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 1304440220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377155418912).

1304440220132 is an abundant number, since it is smaller than the sum of its proper divisors (1449870617692).

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

1304440220132 is a wasteful number, since it uses less digits than its factorization.

1304440220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41953 (or 41932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1304440220132 its reverse (2310220444031), we get a palindrome (3614660664163).

The spelling of 1304440220132 in words is "one trillion, three hundred four billion, four hundred forty million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 3347 5054 6694 10108 13388 23429 38557 46858 63593 77114 93716 127186 154228 254372 269899 445151 539798 732583 890302 1079596 1208267 1465166 1780604 2416534 2930332 4833068 5128081 8457869 10256162 13919077 16915738 20512324 27838154 33831476 55676308 97433539 129050279 194867078 258100558 389734156 516201116 903351953 1806703906 2451955301 3613407812 4903910602 9807821204 17163687107 34327374214 46587150719 68654748428 93174301438 186348602876 326110055033 652220110066 1304440220132