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1441358875872 = 253219349152813
BaseRepresentation
bin10100111110010111101…
…011110000110011100000
312002210101210000101020100
4110332113223300303200
5142103400333011442
63022052350542400
7206064134204046
oct24762753606340
95083353011210
101441358875872
11506305566943
121b3418207a00
13a5bc53697a6
144da95462396
152775e0b684c
hex14f97af0ce0

1441358875872 has 144 divisors (see below), whose sum is σ = 4128571360368. Its totient is φ = 476981084160.

The previous prime is 1441358875871. The next prime is 1441358875889. The reversal of 1441358875872 is 2785788531441.

1441358875872 is a `hidden beast` number, since 1 + 4 + 41 + 3 + 5 + 8 + 8 + 7 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×14413588758723 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441358875871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27265338 + ... + 27318150.

It is an arithmetic number, because the mean of its divisors is an integer number (28670634447).

Almost surely, 21441358875872 is an apocalyptic number.

1441358875872 is a gapful number since it is divisible by the number (12) 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 1441358875872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064285680184).

1441358875872 is an abundant number, since it is smaller than the sum of its proper divisors (2687212484496).

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

1441358875872 is a wasteful number, since it uses less digits than its factorization.

1441358875872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53513 (or 53502 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 1441358875872 in words is "one trillion, four hundred forty-one billion, three hundred fifty-eight million, eight hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 491 579 772 982 1158 1473 1544 1737 1964 2316 2946 3088 3474 3928 4419 4632 5892 6176 6948 7856 8838 9264 11784 13896 15712 17676 18528 23568 27792 35352 47136 52813 55584 70704 94763 105626 141408 158439 189526 211252 284289 316878 379052 422504 475317 568578 633756 758104 845008 852867 950634 1137156 1267512 1516208 1690016 1705734 1901268 2274312 2535024 3032416 3411468 3802536 4548624 5070048 6822936 7605072 9097248 10192909 13645872 15210144 20385818 25931183 27291744 30578727 40771636 51862366 61157454 77793549 81543272 91736181 103724732 122314908 155587098 163086544 183472362 207449464 233380647 244629816 311174196 326173088 366944724 414898928 466761294 489259632 622348392 733889448 829797856 933522588 978519264 1244696784 1467778896 1867045176 2489393568 2935557792 3734090352 5004718319 7468180704 10009436638 15014154957 20018873276 30028309914 40037746552 45042464871 60056619828 80075493104 90084929742 120113239656 160150986208 180169859484 240226479312 360339718968 480452958624 720679437936 1441358875872