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144031240 = 23567223241
BaseRepresentation
bin10001001010110…
…11111000001000
3101001000112201101
420211123320020
5243332444430
622143031144
73366150103
oct1045337010
9331015641
10144031240
1174335891
124029b4b4
1323abc1b2
14151b373a
15c9a0dca
hex895be08

144031240 has 64 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 56263680.

The previous prime is 144031219. The next prime is 144031241. The reversal of 144031240 is 42130441.

It is not an unprimeable number, because it can be changed into a prime (144031241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597520 + ... + 597760.

It is an arithmetic number, because the mean of its divisors is an integer number (5183640).

Almost surely, 2144031240 is an apocalyptic number.

144031240 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 144031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

144031240 is an abundant number, since it is smaller than the sum of its proper divisors (187721720).

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

144031240 is a wasteful number, since it uses less digits than its factorization.

144031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 144031240 is about 12001.3015960770. The cubic root of 144031240 is about 524.1861797868.

Adding to 144031240 its reverse (42130441), we get a palindrome (186161681).

The spelling of 144031240 in words is "one hundred forty-four million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 223 241 268 335 446 482 536 670 892 964 1115 1205 1340 1784 1928 2230 2410 2680 4460 4820 8920 9640 14941 16147 29882 32294 53743 59764 64588 74705 80735 107486 119528 129176 149410 161470 214972 268715 298820 322940 429944 537430 597640 645880 1074860 2149720 3600781 7201562 14403124 18003905 28806248 36007810 72015620 144031240