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144857168759780 = 22529249753739241
BaseRepresentation
bin100000111011111100110000…
…000101100100101111100100
3200222220012200011011212211022
4200323330300011210233210
5122441314440200303110
61232030244210230312
742340404452401241
oct4073746005445744
9628805604155738
10144857168759780
1142179642389a14
12142b6358885398
1362a9c844980b9
1427ab1a540c5c8
1511b3102680755
hex83bf30164be4

144857168759780 has 24 divisors (see below), whose sum is σ = 314689711444920. Its totient is φ = 55944837589760.

The previous prime is 144857168759741. The next prime is 144857168759813. The reversal of 144857168759780 is 87957861758441.

It can be written as a sum of positive squares in 4 ways, for example, as 2998016064484 + 141859152695296 = 1731478^2 + 11910464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144857168759695 and 144857168759704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124876869041 + ... + 124876870200.

It is an arithmetic number, because the mean of its divisors is an integer number (13112071310205).

Almost surely, 2144857168759780 is an apocalyptic number.

144857168759780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144857168759780 is an abundant number, since it is smaller than the sum of its proper divisors (169832542685140).

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

144857168759780 is a wasteful number, since it uses less digits than its factorization.

144857168759780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249753739279 (or 249753739277 counting only the distinct ones).

The product of its (nonzero) digits is 3793305600, while the sum is 80.

The spelling of 144857168759780 in words is "one hundred forty-four trillion, eight hundred fifty-seven billion, one hundred sixty-eight million, seven hundred fifty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 249753739241 499507478482 999014956964 1248768696205 2497537392410 4995074784820 7242858437989 14485716875978 28971433751956 36214292189945 72428584379890 144857168759780