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144400011411200 = 285262459361237
BaseRepresentation
bin100000110101010010111111…
…011000101011111100000000
3200221021111200001222100202012
4200311102333120223330000
5122411322210410124300
61231040241025512052
742262361616141056
oct4065227730537400
9627244601870665
10144400011411200
1142012778a39656
12142418337a2628
136275b2a31144c
142792dd81201d6
1511a6297d96435
hex8354bf62bf00

144400011411200 has 108 divisors (see below), whose sum is σ = 357419302528680. Its totient is φ = 57758919905280.

The previous prime is 144400011411157. The next prime is 144400011411209. The reversal of 144400011411200 is 2114110004441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144400011411209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 399556982 + ... + 399918218.

Almost surely, 2144400011411200 is an apocalyptic number.

144400011411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400011411200 is an abundant number, since it is smaller than the sum of its proper divisors (213019291117480).

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

144400011411200 is an equidigital number, since it uses as much as digits as its factorization.

144400011411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423722 (or 423703 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 144400011411200 its reverse (2114110004441), we get a palindrome (146514121415641).

The spelling of 144400011411200 in words is "one hundred forty-four trillion, four hundred billion, eleven million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 62459 124918 249836 312295 361237 499672 624590 722474 999344 1249180 1444948 1561475 1806185 1998688 2498360 2889896 3122950 3612370 3997376 4996720 5779792 6245900 7224740 7994752 9030925 9993440 11559584 12491800 14449480 15989504 18061850 19986880 23119168 24983600 28898960 36123700 39973760 46238336 49967200 57797920 72247400 79947520 92476672 99934400 115595840 144494800 199868800 231191680 288989600 399737600 462383360 577979200 1155958400 2311916800 22562501783 45125003566 90250007132 112812508915 180500014264 225625017830 361000028528 451250035660 564062544575 722000057056 902500071320 1128125089150 1444000114112 1805000142640 2256250178300 2888000228224 3610000285280 4512500356600 5776000456448 7220000570560 9025000713200 14440001141120 18050001426400 28880002282240 36100002852800 72200005705600 144400011411200