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144285872880 = 24355311343229
BaseRepresentation
bin1000011001100000011…
…0111011001011110000
3111210102112022210001210
42012120012323023300
54330444140413010
6150141203000120
713265352453342
oct2063006731360
9453375283053
10144285872880
1156211682946
1223b69069040
13107b57a6256
146daa919292
153b47114b20
hex21981bb2f0

144285872880 has 80 divisors (see below), whose sum is σ = 455725608480. Its totient is φ = 37750262784.

The previous prime is 144285872873. The next prime is 144285872881. The reversal of 144285872880 is 88278582441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1442858728802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144285872880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144285872881) by changing a digit.

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, 5658895 + ... + 5684334.

It is an arithmetic number, because the mean of its divisors is an integer number (5696570106).

Almost surely, 2144285872880 is an apocalyptic number.

144285872880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144285872880 is an abundant number, since it is smaller than the sum of its proper divisors (311439735600).

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

144285872880 is a wasteful number, since it uses less digits than its factorization.

144285872880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343298 (or 11343292 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 57.

The spelling of 144285872880 in words is "one hundred forty-four billion, two hundred eighty-five million, eight hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 11343229 22686458 34029687 45372916 56716145 68059374 90745832 113432290 136118748 170148435 181491664 226864580 272237496 340296870 453729160 544474992 601191137 680593740 907458320 1202382274 1361187480 1803573411 2404764548 2722374960 3005955685 3607146822 4809529096 6011911370 7214293644 9017867055 9619058192 12023822740 14428587288 18035734110 24047645480 28857174576 36071468220 48095290960 72142936440 144285872880