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144439344 = 24327178429
BaseRepresentation
bin10001001101111…
…11100000110000
3101001210021112100
420212333200300
5243434024334
622155500400
73402466650
oct1046774060
9331707470
10144439344
1174594465
1240457700
1323c02b8a
141527c360
15ca31c99
hex89bf830

144439344 has 120 divisors (see below), whose sum is σ = 489209760. Its totient is φ = 38836224.

The previous prime is 144439313. The next prime is 144439367. The reversal of 144439344 is 443934441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144439299 and 144439308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12922 + ... + 21350.

It is an arithmetic number, because the mean of its divisors is an integer number (4076748).

Almost surely, 2144439344 is an apocalyptic number.

144439344 is a gapful number since it is divisible by the number (14) 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 144439344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244604880).

144439344 is an abundant number, since it is smaller than the sum of its proper divisors (344770416).

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

144439344 is a wasteful number, since it uses less digits than its factorization.

144439344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8458 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 144439344 is about 12018.2920583584. The cubic root of 144439344 is about 524.6807964376.

The spelling of 144439344 in words is "one hundred forty-four million, four hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8429 8568 16858 17136 25287 33716 50574 59003 67432 75861 101148 118006 134864 143293 151722 177009 202296 236012 286586 303444 354018 404592 429879 472024 531027 573172 606888 708036 859758 944048 1003051 1062054 1146344 1213776 1289637 1416072 1719516 2006102 2124108 2292688 2579274 2832144 3009153 3439032 4012204 4248216 5158548 6018306 6878064 8024408 8496432 9027459 10317096 12036612 16048816 18054918 20634192 24073224 36109836 48146448 72219672 144439344