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144163688360 = 23531276742017
BaseRepresentation
bin1000011001000011010…
…0110100111110101000
3111210010000102011102012
42012100310310332220
54330221401011420
6150121120055052
713262340063266
oct2062064647650
9453100364365
10144163688360
11561597098aa
1223b34164488
1310796395c13
146d985d1436
153b3b52bdc5
hex2190d34fa8

144163688360 has 64 divisors (see below), whose sum is σ = 334960773120. Its totient is φ = 55783802880.

The previous prime is 144163688341. The next prime is 144163688377. The reversal of 144163688360 is 63886361441.

It is a junction number, because it is equal to n+sod(n) for n = 144163688299 and 144163688308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3410072 + ... + 3452088.

It is an arithmetic number, because the mean of its divisors is an integer number (5233762080).

Almost surely, 2144163688360 is an apocalyptic number.

144163688360 is a gapful number since it is divisible by the number (10) 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 144163688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167480386560).

144163688360 is an abundant number, since it is smaller than the sum of its proper divisors (190797084760).

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

144163688360 is a wasteful number, since it uses less digits than its factorization.

144163688360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44826 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 144163688360 in words is "one hundred forty-four billion, one hundred sixty-three million, six hundred eighty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2767 5534 11068 13835 22136 27670 42017 55340 84034 85777 110680 168068 171554 210085 336136 343108 420170 428885 686216 840340 857770 1302527 1680680 1715540 2605054 3431080 5210108 6512635 10420216 13025270 26050540 52101080 116261039 232522078 465044156 581305195 930088312 1162610390 2325220780 3604092209 4650441560 7208184418 14416368836 18020461045 28832737672 36040922090 72081844180 144163688360