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144120222412300 = 225217247106103381
BaseRepresentation
bin100000110001001110011010…
…101010010110111000001100
3200220021202111002121120100101
4200301032122222112320030
5122342231203414143200
61230303525520340444
742233225314656031
oct4061163252267014
9626252432546311
10144120222412300
1141a15052388652
12141b756aa74724
13625562b7c6bb4
14278365530b388
15119dd6ec3226a
hex83139aa96e0c

144120222412300 has 108 divisors (see below), whose sum is σ = 339288057861984. Its totient is φ = 53102619622400.

The previous prime is 144120222412213. The next prime is 144120222412319. The reversal of 144120222412300 is 3214222021441.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51693391 + ... + 54409990.

Almost surely, 2144120222412300 is an apocalyptic number.

144120222412300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120222412300 is an abundant number, since it is smaller than the sum of its proper divisors (195167835449684).

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

144120222412300 is a wasteful number, since it uses less digits than its factorization.

144120222412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106103476 (or 106103452 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144120222412300 its reverse (3214222021441), we get a palindrome (147334444433741).

The spelling of 144120222412300 in words is "one hundred forty-four trillion, one hundred twenty billion, two hundred twenty-two million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 289 340 425 470 578 799 850 940 1156 1175 1445 1598 1700 2350 2890 3196 3995 4700 5780 7225 7990 13583 14450 15980 19975 27166 28900 39950 54332 67915 79900 135830 271660 339575 679150 1358300 106103381 212206762 424413524 530516905 1061033810 1803757477 2122067620 2652584525 3607514954 4986858907 5305169050 7215029908 9018787385 9973717814 10610338100 18037574770 19947435628 24934294535 30663877109 36075149540 45093936925 49868589070 61327754218 84776601419 90187873850 99737178140 122655508436 124671472675 153319385545 169553202838 180375747700 249342945350 306638771090 339106405676 423883007095 498685890700 613277542180 766596927725 847766014190 1441202224123 1533193855450 1695532028380 2119415035475 2882404448246 3066387710900 4238830070950 5764808896492 7206011120615 8477660141900 14412022241230 28824044482460 36030055603075 72060111206150 144120222412300