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144321043120 = 24531434913381
BaseRepresentation
bin1000011001101000110…
…1000101101010110000
3111210111222111121120021
42012122031011222300
54331032141334440
6150144500453224
713266260424442
oct2063215055260
9453458447507
10144321043120
115622a514861
1223b789aa214
13107bcb6b647
146db1472492
153b4a26084a
hex219a345ab0

144321043120 has 80 divisors (see below), whose sum is σ = 346476038400. Its totient is φ = 55849190400.

The previous prime is 144321043099. The next prime is 144321043133. The reversal of 144321043120 is 21340123441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10778830 + ... + 10792210.

It is an arithmetic number, because the mean of its divisors is an integer number (4330950480).

Almost surely, 2144321043120 is an apocalyptic number.

144321043120 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 144321043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238019200).

144321043120 is an abundant number, since it is smaller than the sum of its proper divisors (202154995280).

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

144321043120 is a wasteful number, since it uses less digits than its factorization.

144321043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17774 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144321043120 its reverse (21340123441), we get a palindrome (165661166561).

The spelling of 144321043120 in words is "one hundred forty-four billion, three hundred twenty-one million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4349 8698 13381 17396 21745 26762 34792 43490 53524 66905 69584 86980 107048 133810 134819 173960 214096 267620 269638 347920 414811 535240 539276 674095 829622 1070480 1078552 1348190 1659244 2074055 2157104 2696380 3318488 4148110 5392760 6636976 8296220 10785520 16592440 33184880 58193969 116387938 232775876 290969845 465551752 581939690 931103504 1163879380 1804013039 2327758760 3608026078 4655517520 7216052156 9020065195 14432104312 18040130390 28864208624 36080260780 72160521560 144321043120