Search a number
-
+
144804077808 = 2431311312131693
BaseRepresentation
bin1000011011011011111…
…1101110000011110000
3111211202122102022120220
42012312333232003300
54333024320442213
6150304433533040
713314244232025
oct2066677560360
9454678368526
10144804077808
1156458143985
1224092714180
1310868c636a0
14701968d54c
153b77876e23
hex21b6fee0f0

144804077808 has 160 divisors (see below), whose sum is σ = 406992742464. Its totient is φ = 44098338816.

The previous prime is 144804077791. The next prime is 144804077849. The reversal of 144804077808 is 808770408441.

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, 85530210 + ... + 85531902.

Almost surely, 2144804077808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144804077808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203496371232).

144804077808 is an abundant number, since it is smaller than the sum of its proper divisors (262188664656).

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

144804077808 is a wasteful number, since it uses less digits than its factorization.

144804077808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 144804077808 in words is "one hundred forty-four billion, eight hundred four million, seventy-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1213 1356 1469 1693 1808 2426 2712 2938 3386 3639 4407 4852 5079 5424 5876 6772 7278 8814 9704 10158 11752 13544 14556 15769 17628 19408 20316 22009 23504 27088 29112 31538 35256 40632 44018 47307 58224 63076 66027 70512 81264 88036 94614 126152 132054 137069 176072 189228 191309 252304 264108 274138 352144 378456 382618 411207 528216 548276 573927 756912 765236 822414 1056432 1096552 1147854 1530472 1644828 1781897 2053609 2193104 2295708 2487017 3060944 3289656 3563794 4107218 4591416 4974034 5345691 6160827 6579312 7127588 7461051 8214436 9182832 9948068 10691382 12321654 14255176 14922102 16428872 19896136 21382764 24643308 26696917 28510352 29844204 32857744 39792272 42765528 49286616 53393834 59688408 80090751 85531056 98573232 106787668 119376816 160181502 213575336 232057817 320363004 427150672 464115634 640726008 696173451 928231268 1281452016 1392346902 1856462536 2784693804 3016751621 3712925072 5569387608 6033503242 9050254863 11138775216 12067006484 18100509726 24134012968 36201019452 48268025936 72402038904 144804077808