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140012000352 = 25327467914843
BaseRepresentation
bin1000001001100101011…
…1011001010001100000
3111101101200021120010200
42002121113121101200
54243221033002402
6144153131025200
713054425236520
oct2023127312140
9441350246120
10140012000352
1154419140194
122317589b200
13102842041b3
146ac3073680
153996ce221c
hex20995d9460

140012000352 has 144 divisors (see below), whose sum is σ = 455166915840. Its totient is φ = 39992184576.

The previous prime is 140012000339. The next prime is 140012000353. The reversal of 140012000352 is 253000210041.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140012000353) 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, 9425443 + ... + 9440285.

It is an arithmetic number, because the mean of its divisors is an integer number (3160881360).

Almost surely, 2140012000352 is an apocalyptic number.

140012000352 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 140012000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227583457920).

140012000352 is an abundant number, since it is smaller than the sum of its proper divisors (315154915488).

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

140012000352 is a wasteful number, since it uses less digits than its factorization.

140012000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19545 (or 19534 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 140012000352 its reverse (253000210041), we get a palindrome (393012210393).

The spelling of 140012000352 in words is "one hundred forty billion, twelve million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4679 9358 14037 14843 18716 28074 29686 32753 37432 42111 44529 56148 59372 65506 74864 84222 89058 98259 103901 112296 118744 131012 133587 149728 168444 178116 196518 207802 224592 237488 262024 267174 294777 311703 336888 356232 393036 415604 449184 474976 524048 534348 589554 623406 673776 712464 786072 831208 935109 1048096 1068696 1179108 1246812 1347552 1424928 1572144 1662416 1870218 2137392 2358216 2493624 3144288 3324832 3740436 4274784 4716432 4987248 7480872 9432864 9974496 14961744 29923488 69450397 138900794 208351191 277801588 416702382 486152779 555603176 625053573 833404764 972305558 1111206352 1250107146 1458458337 1666809528 1944611116 2222412704 2500214292 2916916674 3333619056 3889222232 4375375011 5000428584 5833833348 6667238112 7778444464 8750750022 10000857168 11667666696 15556888928 17501500044 20001714336 23335333392 35003000088 46670666784 70006000176 140012000352