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144868080 = 24357531627
BaseRepresentation
bin10001010001010…
…00001011110000
3101002121001122110
420220220023300
5244041234310
622213005320
73406233630
oct1050501360
9332531573
10144868080
1174857595
1240623840
1324023076
14153506c0
15cab8d20
hex8a282f0

144868080 has 160 divisors (see below), whose sum is σ = 523252224. Its totient is φ = 32467968.

The previous prime is 144868063. The next prime is 144868091. The reversal of 144868080 is 80868441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88227 + ... + 89853.

Almost surely, 2144868080 is an apocalyptic number.

144868080 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 144868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261626112).

144868080 is an abundant number, since it is smaller than the sum of its proper divisors (378384144).

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

144868080 is a wasteful number, since it uses less digits than its factorization.

144868080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 144868080 is about 12036.1156524852. The cubic root of 144868080 is about 525.1994163075.

The spelling of 144868080 in words is "one hundred forty-four million, eight hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1627 1680 1855 2120 2226 2544 2968 3180 3254 3710 4240 4452 4881 5565 5936 6360 6508 7420 8135 8904 9762 11130 11389 12720 13016 14840 16270 17808 19524 22260 22778 24405 26032 29680 32540 34167 39048 44520 45556 48810 56945 65080 68334 78096 86231 89040 91112 97620 113890 130160 136668 170835 172462 182224 195240 227780 258693 273336 341670 344924 390480 431155 455560 517386 546672 603617 683340 689848 862310 911120 1034772 1207234 1293465 1366680 1379696 1724620 1810851 2069544 2414468 2586930 2733360 3018085 3449240 3621702 4139088 4828936 5173860 6036170 6898480 7243404 9054255 9657872 10347720 12072340 14486808 18108510 20695440 24144680 28973616 36217020 48289360 72434040 144868080