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142042121431152 = 24337514715538891
BaseRepresentation
bin100000010010111111000010…
…001100001110100001110000
3200121221002112122222210111220
4200102333002030032201300
5122104204231041244102
61222033125540305040
741630130120041325
oct4022770214164160
9617832478883456
10142042121431152
11412937a8576758
1213b2086b0a2180
13613468c6a9b17
142710c37db2b4c
151164c9534d1bc
hex812fc230e870

142042121431152 has 80 divisors (see below), whose sum is σ = 376932745867392. Its totient is φ = 46058761693440.

The previous prime is 142042121431151. The next prime is 142042121431181. The reversal of 142042121431152 is 251134121240241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142042121431151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371627 + ... + 16910517.

Almost surely, 2142042121431152 is an apocalyptic number.

142042121431152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142042121431152 is an abundant number, since it is smaller than the sum of its proper divisors (234890624436240).

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

142042121431152 is a wasteful number, since it uses less digits than its factorization.

142042121431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15544086 (or 15544080 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 142042121431152 its reverse (251134121240241), we get a palindrome (393176242671393).

The spelling of 142042121431152 in words is "one hundred forty-two trillion, forty-two billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 5147 10294 15441 20588 30882 41176 61764 82352 123528 190439 247056 380878 571317 761756 1142634 1523512 2285268 3047024 4570536 9141072 15538891 31077782 46616673 62155564 93233346 124311128 186466692 248622256 372933384 574938967 745866768 1149877934 1724816901 2299755868 3449633802 4599511736 6899267604 9199023472 13798535208 27597070416 79978671977 159957343954 239936015931 319914687908 479872031862 639829375816 959744063724 1279658751632 1919488127448 2959210863149 3838976254896 5918421726298 8877632589447 11836843452596 17755265178894 23673686905192 35510530357788 47347373810384 71021060715576 142042121431152