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142995456576 = 2632725066449
BaseRepresentation
bin1000010100101100110…
…0011000001001000000
3111200002121011211200100
42011023030120021000
54320323314102301
6145405144522400
713221363216600
oct2051314301100
9450077154610
10142995456576
115570a230a95
1223868a80400
131063b3454cb
146cc73b0c00
153abdbb9286
hex214b318240

142995456576 has 126 divisors (see below), whose sum is σ = 476788410150. Its totient is φ = 40855836672.

The previous prime is 142995456557. The next prime is 142995456619. The reversal of 142995456576 is 675654599241.

142995456576 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 9 + 5 + 4 + 56 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115165209600 + 27830246976 = 339360^2 + 166824^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2505001 + ... + 2561448.

Almost surely, 2142995456576 is an apocalyptic number.

142995456576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142995456576 is an abundant number, since it is smaller than the sum of its proper divisors (333792953574).

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

142995456576 is a wasteful number, since it uses less digits than its factorization.

142995456576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066481 (or 5066461 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 142995456576 in words is "one hundred forty-two billion, nine hundred ninety-five million, four hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 5066449 10132898 15199347 20265796 30398694 35465143 40531592 45598041 60797388 70930286 81063184 91196082 106395429 121594776 141860572 162126368 182392164 212790858 243189552 248256001 283721144 319186287 324252736 364784328 425581716 486379104 496512002 567442288 638372574 729568656 744768003 851163432 972758208 993024004 1134884576 1276745148 1459137312 1489536006 1702326864 1986048008 2234304009 2269769152 2553490296 2918274624 2979072012 3404653728 3972096016 4468608018 5106980592 5958144024 6809307456 7944192032 8937216036 10213961184 11916288048 15888384064 17874432072 20427922368 23832576096 35748864144 47665152192 71497728288 142995456576