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144216027005820 = 223571131215590261
BaseRepresentation
bin100000110010100111101001…
…000011111000001101111100
3200220121220202212212011211220
4200302213221003320031330
5122400313410403141240
61230415532253313340
742243156406404540
oct4062475103701574
9626556685764756
10144216027005820
1141a517455a4770
1214212047795850
1362616890786a3
1427881430ada20
1511a15ca9985d0
hex8329e90f837c

144216027005820 has 96 divisors (see below), whose sum is σ = 503445039745536. Its totient is φ = 29966966649600.

The previous prime is 144216027005819. The next prime is 144216027005881. The reversal of 144216027005820 is 28500720612441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15607790511 + ... + 15607799750.

It is an arithmetic number, because the mean of its divisors is an integer number (5244219164016).

Almost surely, 2144216027005820 is an apocalyptic number.

144216027005820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144216027005820 is an abundant number, since it is smaller than the sum of its proper divisors (359229012739716).

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

144216027005820 is a wasteful number, since it uses less digits than its factorization.

144216027005820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31215590291 (or 31215590289 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 144216027005820 in words is "one hundred forty-four trillion, two hundred sixteen billion, twenty-seven million, five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 31215590261 62431180522 93646770783 124862361044 156077951305 187293541566 218509131827 312155902610 343371492871 374587083132 437018263654 468233853915 624311805220 655527395481 686742985742 874036527308 936467707830 1030114478613 1092545659135 1311054790962 1373485971484 1716857464355 1872935415660 2060228957226 2185091318270 2403600450097 2622109581924 3277636977405 3433714928710 4120457914452 4370182636540 4807200900194 5150572393065 6555273954810 6867429857420 7210801350291 9614401800388 10301144786130 12018002250485 13110547909620 14421602700582 20602289572260 24036004500970 28843205401164 36054006751455 48072009001940 72108013502910 144216027005820