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144422043033120 = 25351409213540991
BaseRepresentation
bin100000110101100111100000…
…100100101001111000100000
3200221100121112111100201100020
4200311213200210221320200
5122412202321004024440
61231054323131553440
742264101600631666
oct4065474044517040
9627317474321306
10144422043033120
1142021054243256
1214245b61bbb880
136277c2b885718
1427940c8172c36
1511a6b3716e3d0
hex8359e0929e20

144422043033120 has 96 divisors (see below), whose sum is σ = 455252311664640. Its totient is φ = 38485211381760.

The previous prime is 144422043033019. The next prime is 144422043033143. The reversal of 144422043033120 is 21330340224441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106094176 + ... + 107446815.

It is an arithmetic number, because the mean of its divisors is an integer number (4742211579840).

Almost surely, 2144422043033120 is an apocalyptic number.

144422043033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144422043033120 is an abundant number, since it is smaller than the sum of its proper divisors (310830268631520).

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

144422043033120 is a wasteful number, since it uses less digits than its factorization.

144422043033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213542418 (or 213542410 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144422043033120 its reverse (21330340224441), we get a palindrome (165752383257561).

The spelling of 144422043033120 in words is "one hundred forty-four trillion, four hundred twenty-two billion, forty-three million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1409 2818 4227 5636 7045 8454 11272 14090 16908 21135 22544 28180 33816 42270 45088 56360 67632 84540 112720 135264 169080 225440 338160 676320 213540991 427081982 640622973 854163964 1067704955 1281245946 1708327928 2135409910 2562491892 3203114865 3416655856 4270819820 5124983784 6406229730 6833311712 8541639640 10249967568 12812459460 17083279280 20499935136 25624918920 34166558560 51249837840 102499675680 300879256319 601758512638 902637768957 1203517025276 1504396281595 1805275537914 2407034050552 3008792563190 3610551075828 4513188844785 4814068101104 6017585126380 7221102151656 9026377689570 9628136202208 12035170252760 14442204303312 18052755379140 24070340505520 28884408606624 36105510758280 48140681011040 72211021516560 144422043033120