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144115470 = 23352321009
BaseRepresentation
bin10001001011100…
…00011100001110
3101001011211021000
420211300130032
5243343143340
622144521130
73366650502
oct1045603416
9331154230
10144115470
11743930a4
12403201a6
1323b1b635
14151d6302
15c9bad30
hex897070e

144115470 has 96 divisors (see below), whose sum is σ = 402141600. Its totient is φ = 36723456.

The previous prime is 144115463. The next prime is 144115483. The reversal of 144115470 is 74511441.

144115470 is a `hidden beast` number, since 1 + 441 + 154 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 142326 + ... + 143334.

It is an arithmetic number, because the mean of its divisors is an integer number (4188975).

Almost surely, 2144115470 is an apocalyptic number.

144115470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144115470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201070800).

144115470 is an abundant number, since it is smaller than the sum of its proper divisors (258026130).

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

144115470 is a wasteful number, since it uses less digits than its factorization.

144115470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 144115470 is about 12004.8102858812. The cubic root of 144115470 is about 524.2883418778.

It can be divided in two parts, 14411 and 5470, that added together give a square (19881 = 1412).

The spelling of 144115470 in words is "one hundred forty-four million, one hundred fifteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 529 621 690 1009 1035 1058 1242 1587 2018 2070 2645 3027 3105 3174 4761 5045 5290 6054 6210 7935 9081 9522 10090 14283 15135 15870 18162 23207 23805 27243 28566 30270 45405 46414 47610 54486 69621 71415 90810 116035 136215 139242 142830 208863 232070 272430 348105 417726 533761 626589 696210 1044315 1067522 1253178 1601283 2088630 2668805 3132945 3202566 4803849 5337610 6265890 8006415 9607698 14411547 16012830 24019245 28823094 48038490 72057735 144115470