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144041380 = 225721031427
BaseRepresentation
bin10001001010111…
…10010110100100
3101001001001121221
420211132112210
5243333311010
622143150124
73366221500
oct1045362644
9331031557
10144041380
117434246a
12402a5344
1323ac39b2
14151b7300
15c9a3dda
hex895e5a4

144041380 has 72 divisors (see below), whose sum is σ = 355537728. Its totient is φ = 48871872.

The previous prime is 144041371. The next prime is 144041383. The reversal of 144041380 is 83140441.

It is not an unprimeable number, because it can be changed into a prime (144041383) by changing a digit.

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, 100227 + ... + 101653.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2144041380 is an apocalyptic number.

144041380 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 144041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

144041380 is an abundant number, since it is smaller than the sum of its proper divisors (211496348).

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

144041380 is a wasteful number, since it uses less digits than its factorization.

144041380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 144041380 is about 12001.7240428198. The cubic root of 144041380 is about 524.1984806440.

The spelling of 144041380 in words is "one hundred forty-four million, forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 412 490 515 721 980 1030 1427 1442 2060 2854 2884 3605 5047 5708 7135 7210 9989 10094 14270 14420 19978 20188 25235 28540 39956 49945 50470 69923 99890 100940 139846 146981 199780 279692 293962 349615 587924 699230 734905 1028867 1398460 1469810 2057734 2939620 4115468 5144335 7202069 10288670 14404138 20577340 28808276 36010345 72020690 144041380