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144012780 = 2232517192477
BaseRepresentation
bin10001001010101…
…11010111101100
3101000222121101200
420211113113230
5243331402110
622142405500
73366042222
oct1045272754
9330877350
10144012780
1174322a2a
1240290890
1323ab3982
14151aab12
15c99a6c0
hex89575ec

144012780 has 144 divisors (see below), whose sum is σ = 487075680. Its totient is φ = 34228224.

The previous prime is 144012773. The next prime is 144012823. The reversal of 144012780 is 87210441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56902 + ... + 59378.

It is an arithmetic number, because the mean of its divisors is an integer number (3382470).

Almost surely, 2144012780 is an apocalyptic number.

144012780 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 144012780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243537840).

144012780 is an abundant number, since it is smaller than the sum of its proper divisors (343062900).

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

144012780 is a wasteful number, since it uses less digits than its factorization.

144012780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 144012780 is about 12000.5324881857. The cubic root of 144012780 is about 524.1637844363.

The spelling of 144012780 in words is "one hundred forty-four million, twelve thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2477 2907 3060 3230 3420 3876 4845 4954 5814 6460 7431 9690 9908 11628 12385 14535 14862 19380 22293 24770 29070 29724 37155 42109 44586 47063 49540 58140 74310 84218 89172 94126 111465 126327 141189 148620 168436 188252 210545 222930 235315 252654 282378 378981 421090 423567 445860 470630 505308 564756 631635 705945 757962 800071 842180 847134 941260 1263270 1411890 1515924 1600142 1694268 1894905 2117835 2400213 2526540 2823780 3200284 3789810 4000355 4235670 4800426 7200639 7579620 8000710 8471340 9600852 12001065 14401278 16001420 24002130 28802556 36003195 48004260 72006390 144012780