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144565140 = 223543137409
BaseRepresentation
bin10001001110111…
…10001110010100
3101002000200002110
420213132032110
5244002041030
622202311020
73403532466
oct1047361624
9332020073
10144565140
117466aa25
12404b8470
1323c48205
14152b2136
15ca591b0
hex89de394

144565140 has 96 divisors (see below), whose sum is σ = 418239360. Its totient is φ = 37287936.

The previous prime is 144565123. The next prime is 144565147. The reversal of 144565140 is 41565441.

144565140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144565098 and 144565107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144565147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353256 + ... + 353664.

It is an arithmetic number, because the mean of its divisors is an integer number (4356660).

Almost surely, 2144565140 is an apocalyptic number.

144565140 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 144565140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209119680).

144565140 is an abundant number, since it is smaller than the sum of its proper divisors (273674220).

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

144565140 is a wasteful number, since it uses less digits than its factorization.

144565140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 144565140 is about 12023.5244416935. The cubic root of 144565140 is about 524.8330716458.

The spelling of 144565140 in words is "one hundred forty-four million, five hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 137 172 215 258 274 409 411 430 516 548 645 685 818 822 860 1227 1290 1370 1636 1644 2045 2055 2454 2580 2740 4090 4110 4908 5891 6135 8180 8220 11782 12270 17587 17673 23564 24540 29455 35174 35346 52761 56033 58910 70348 70692 87935 88365 105522 112066 117820 168099 175870 176730 211044 224132 263805 280165 336198 351740 353460 527610 560330 672396 840495 1055220 1120660 1680990 2409419 3361980 4818838 7228257 9637676 12047095 14456514 24094190 28913028 36141285 48188380 72282570 144565140