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142777328873472 = 212342003214849
BaseRepresentation
bin100000011101101011101111…
…111110000011000000000000
3200201112101020112111120120000
4200131223233332003000000
5122203230432142422342
61223354555511320000
742034215211143306
oct4035535776030000
9621471215446500
10142777328873472
1141547585a51917
121401b252680000
136188ac902c367
142738661182276
151178e752b044c
hex81daeff83000

142777328873472 has 260 divisors, whose sum is σ = 426732157493400. Its totient is φ = 47568460972032.

The previous prime is 142777328873467. The next prime is 142777328873573. The reversal of 142777328873472 is 274378823777241.

142777328873472 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 7 + 7 + 3 + 2 + 88 + 73 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 142777328873472.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 664439904 + ... + 664654752.

Almost surely, 2142777328873472 is an apocalyptic number.

142777328873472 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 142777328873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213366078746700).

142777328873472 is an abundant number, since it is smaller than the sum of its proper divisors (283954828619928).

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

142777328873472 is an equidigital number, since it uses as much as digits as its factorization.

142777328873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216888 (or 216857 counting only the distinct ones).

The product of its digits is 1239146496, while the sum is 72.

The spelling of 142777328873472 in words is "one hundred forty-two trillion, seven hundred seventy-seven billion, three hundred twenty-eight million, eight hundred seventy-three thousand, four hundred seventy-two".