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142023224443104 = 25324773314314133
BaseRepresentation
bin100000010010101101011011…
…110101111100000011100000
3200121212021202200222100012200
4200102231123311330003200
5122103402030424134404
61222020322452253200
741625560620223604
oct4022553365740340
9617767680870180
10142023224443104
1141286790729964
1213b19076611200
13613296a698aa4
14270dd643b1504
15116453b360839
hex812b5bd7c0e0

142023224443104 has 144 divisors (see below), whose sum is σ = 413034451083072. Its totient is φ = 46270603459584.

The previous prime is 142023224443099. The next prime is 142023224443109. The reversal of 142023224443104 is 401344422320241.

142023224443104 is a `hidden beast` number, since 1 + 4 + 202 + 3 + 2 + 2 + 4 + 443 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (142023224443099) and next prime (142023224443109).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142023224443109) 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, 2764822 + ... + 17078954.

It is an arithmetic number, because the mean of its divisors is an integer number (2868294799188).

Almost surely, 2142023224443104 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 142023224443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206517225541536).

142023224443104 is an abundant number, since it is smaller than the sum of its proper divisors (271011226639968).

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

142023224443104 is a wasteful number, since it uses less digits than its factorization.

142023224443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14314929 (or 14314918 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 142023224443104 its reverse (401344422320241), we get a palindrome (543367646763345).

The spelling of 142023224443104 in words is "one hundred forty-two trillion, twenty-three billion, two hundred twenty-four million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 733 752 846 1128 1466 1504 1692 2199 2256 2932 3384 4398 4512 5864 6597 6768 8796 11728 13194 13536 17592 23456 26388 34451 35184 52776 68902 70368 103353 105552 137804 206706 211104 275608 310059 413412 551216 620118 826824 1102432 1240236 1653648 2480472 3307296 4960944 9921888 14314133 28628266 42942399 57256532 85884798 114513064 128827197 171769596 229026128 257654394 343539192 458052256 515308788 672764251 687078384 1030617576 1345528502 1374156768 2018292753 2061235152 2691057004 4036585506 4122470304 5382114008 6054878259 8073171012 10492259489 10764228016 12109756518 16146342024 20984518978 21528456032 24219513036 31476778467 32292684048 41969037956 48439026072 62953556934 64585368096 83938075912 94430335401 96878052144 125907113868 167876151824 188860670802 193756104288 251814227736 335752303648 377721341604 493136195983 503628455472 755442683208 986272391966 1007256910944 1479408587949 1510885366416 1972544783932 2958817175898 3021770732832 3945089567864 4438225763847 5917634351796 7890179135728 8876451527694 11835268703592 15780358271456 17752903055388 23670537407184 35505806110776 47341074814368 71011612221552 142023224443104