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1441545332316 = 2231983488915581
BaseRepresentation
bin10100111110100010110…
…011000010011001011100
312002210212202212100101120
4110332202303002121130
5142104241101113231
63022123051210540
7206101560102615
oct24764263023134
95083782770346
101441545332316
115063a0839381
121b346a746a50
13a5c24b9134b
144dab211ac0c
1527770647d96
hex14fa2cc265c

1441545332316 has 96 divisors (see below), whose sum is σ = 3584258899200. Its totient is φ = 449619356160.

The previous prime is 1441545332287. The next prime is 1441545332317. The reversal of 1441545332316 is 6132335451441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441545332317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92511646 + ... + 92527226.

It is an arithmetic number, because the mean of its divisors is an integer number (37336030200).

Almost surely, 21441545332316 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 1441545332316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792129449600).

1441545332316 is an abundant number, since it is smaller than the sum of its proper divisors (2142713566884).

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

1441545332316 is a wasteful number, since it uses less digits than its factorization.

1441545332316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20579 (or 20577 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 1441545332316 in words is "one trillion, four hundred forty-one billion, five hundred forty-five million, three hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 4889 6308 9462 9778 14667 15581 18924 19556 29334 31162 46743 58668 62324 92891 93486 185782 186972 278673 296039 371564 405787 557346 592078 811574 888117 1114692 1184156 1217361 1293223 1623148 1776234 2434722 2586446 3552468 3879669 4869444 5172892 7709953 7759338 15419906 15518676 23129859 24571237 30839812 46259718 49142474 73713711 76175509 92519436 98284948 147427422 152351018 228526527 294854844 304702036 457053054 914106108 1447334671 2894669342 4342004013 5789338684 6322567247 8684008026 12645134494 17368016052 18967701741 25290268988 37935403482 75870806964 120128777693 240257555386 360386333079 480515110772 720772666158 1441545332316