Search a number
-
+
144554240 = 285313643
BaseRepresentation
bin10001001110110…
…11100100000000
3101002000010010202
420213123210000
5244001213430
622202144332
73403455635
oct1047334400
9332003122
10144554240
1174662816
12404b20a8
1323c4326c
14152ac18c
15ca55d45
hex89db900

144554240 has 72 divisors (see below), whose sum is σ = 357520128. Its totient is φ = 55941120.

The previous prime is 144554239. The next prime is 144554257. The reversal of 144554240 is 42455441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37859 + ... + 41501.

Almost surely, 2144554240 is an apocalyptic number.

144554240 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 144554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178760064).

144554240 is an abundant number, since it is smaller than the sum of its proper divisors (212965888).

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

144554240 is an equidigital number, since it uses as much as digits as its factorization.

144554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 144554240 is about 12023.0711550751. The cubic root of 144554240 is about 524.8198807658.

The spelling of 144554240 in words is "one hundred forty-four million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3643 3968 4960 7286 7936 9920 14572 18215 19840 29144 36430 39680 58288 72860 112933 116576 145720 225866 233152 291440 451732 466304 564665 582880 903464 932608 1129330 1165760 1806928 2258660 2331520 3613856 4517320 4663040 7227712 9034640 14455424 18069280 28910848 36138560 72277120 144554240