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144450624060 = 223253114315987
BaseRepresentation
bin1000011010000111101…
…1011001101000111100
3111210212000100000012100
42012201323121220330
54331313324432220
6150205410105100
713302423021441
oct2064173315074
9453760300170
10144450624060
115629667a946
1223bb427b190
131081096b462
146dc47639c8
153b56809d90
hex21a1ed9a3c

144450624060 has 144 divisors (see below), whose sum is σ = 440669279232. Its totient is φ = 38300822400.

The previous prime is 144450624053. The next prime is 144450624089. The reversal of 144450624060 is 60426054441.

144450624060 is a `hidden beast` number, since 14 + 44 + 506 + 2 + 40 + 60 = 666.

144450624060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24124387 + ... + 24130373.

It is an arithmetic number, because the mean of its divisors is an integer number (3060203328).

Almost surely, 2144450624060 is an apocalyptic number.

144450624060 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 144450624060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220334639616).

144450624060 is an abundant number, since it is smaller than the sum of its proper divisors (296218655172).

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

144450624060 is a wasteful number, since it uses less digits than its factorization.

144450624060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 144450624060 in words is "one hundred forty-four billion, four hundred fifty million, six hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 431 622 862 933 1244 1293 1555 1724 1866 2155 2586 2799 3110 3732 3879 4310 4665 5172 5598 5987 6220 6465 7758 8620 9330 11196 11974 12930 13995 15516 17961 18660 19395 23948 25860 27990 29935 35922 38790 53883 55980 59870 71844 77580 89805 107766 119740 134041 179610 215532 268082 269415 359220 402123 536164 538830 670205 804246 1077660 1206369 1340410 1608492 1861957 2010615 2412738 2580397 2680820 3723914 4021230 4825476 5160794 5585871 6031845 7447828 7741191 8042460 9309785 10321588 11171742 12063690 12901985 15482382 16757613 18619570 22343484 23223573 24127380 25803970 27929355 30964764 33515226 37239140 38705955 46447146 51607940 55858710 67030452 77411910 83788065 92894292 111717420 116117865 154823820 167576130 232235730 335152260 464471460 802503467 1605006934 2407510401 3210013868 4012517335 4815020802 7222531203 8025034670 9630041604 12037552005 14445062406 16050069340 24075104010 28890124812 36112656015 48150208020 72225312030 144450624060